# LaTeX2HTML 2002-2-1 (1.71)
# Associate images original text with physical files.


$key = q/Dvect{i}_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|476#476|; 

$key = q/displaystyleoverline{rho}(CN_{cr}+CL_{cr}-EV_{cv}),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|143#143|; 

$key = q/displaystyle3K_{m}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|822#822|; 

$key = q/M_{src}(rho_v)+M_{src}(rho_c)+M_{src}(rho_r)=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|304#304|; 

$key = q/displaystyle+left[-sum(q_v^{prime}+q_c^{prime}+q_r^{prime})+sum(R_vslashR_d)q_v^vect{u}}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|769#769|; 

$key = q/displaystylePi(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|638#638|; 

$key = q/displaystyleleft{K_{m}left(DP{u_{i}}{x_{j}}+DP{u_{j}}{x_{i}}right)-frac{2}{3}delta_{ij}E_{turb}right}DP{u_{i}}{x_{j}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|950#950|; 

$key = q/displaystyle-u^{prime}DP{w^{prime}}{x}-v^{prime}DP{w^{prime}}{y}-w^{prime}DP{w^{rime}}{z}-langlec_prangle_0overline{theta_v}DP{Pi^{prime}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|112#112|; 

$key = q/displaystyleDeqlab{quasi-equations:u-w-pi-theta:continue};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|788#788|; 

$key = q/displaystylefrac{langlec_srangle^2}{langlec_prangle_0theta_v}Bigg[Dinv{rho}DD{rho}{t}+Dinv{theta}DD{theta}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|606#606|; 

$key = q/displaystylefrac{theta^{prime}}{overline{theta}}overline{rho}DD{z}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|744#744|; 

$key = q/displaystyleT(s_v-s_c)Deqlab{Cl-Cl10};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|362#362|; 

$key = q/displaystyleoverline{theta}(z)+theta^{prime}(x,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|637#637|; 

$key = q/displaystyle-langlec_prangle_0left(bar{theta_{v}}DP{bar{Pi}}{y}+bar{theta_{v}}DP}^{'}DP{bar{Pi}}{y}+{theta_{v}}^{'}DP{Pi^{'}}{y}right)+D_{v}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|655#655|; 

$key = q/displaystyle-frac{p_0Pi^{langlec_vrangle_0slashlangleRrangle}}{langleRrangle_0le{M_d}DD{q_d}{t}+sumfrac{langleMrangle_0}{M_v}DD{q_v}{t}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|599#599|; 

$key = q/displaystyleD_{u_{i}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|244#244|; 

$key = q/displaystyle+gK_hleft(1+sumfrac{R_v}{R_d}overline{q_v}-sumoverline{q_L}right)^{-1}DP{left(sumq_Lright)}{z}Deqlab{B-moist};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|947#947|; 

$key = q/langleMrangle_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|86#86|; 

$key = q/displaystyleDeqlab{AAF-2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|756#756|; 

$key = q/K=[{u^{prime}}^2+{v^{prime}}^2+{w^{prime}}^2]slash2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|722#722|; 

$key = q/displaystylemu_v(p^{*},T)+int_{p^{*}}^{p}v_v(p^{prime},T)dp^{prime}Deqlab{thermodyn16};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|411#411|; 

$key = q/displaystyleH_c(p_0,T_0)-c_{pc}T_0+c_{pc}T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|445#445|; 

$key = q/displaystyletheta^{prime}+sumfrac{L}{langlec_prangle_0overline{Pi}}left[frac{Lov}}-1right)frac{overline{q_v^{*}}}{overline{p}}p^{prime}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|928#928|; 

$key = q/displaystyleDP{}{t}left[frac{q_v^{prime}overline{rho}gz}{1+sumleft(frac{R_v}{R_dvect{u}}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|753#753|; 

$key = q/displaystyle-u^{prime}DP{q_a^{prime}}{x}-v^{prime}DP{q_a^{prime}}{y}-w^{prime}DP{q_a^{prime}}{z}-w^{prime}DP{overline{q_a}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|123#123|; 

$key = q/displaystylefrac{g_{j}}{overline{theta_v}}overline{u^{prime}_{j}theta^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|943#943|; 

$key = q/displaystyle-langlec_prangle_0overline{theta_v}DP{Pi^{prime}}{z}+frac{theta^{pri+sumleft(-1+frac{R_v}{R_d}right)overline{q_v}}g+D_{w^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|786#786|; 

$key = q/displaystylefrac{theta_v^{prime}}{overline{theta_v}}g=frac{theta^{prime}}{overlirime}right)}{1+sumleft(-1+frac{R_v}{R_d}right)overline{q_v}}g;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|677#677|; 

$key = q/displaystyleM_{src}(rho_c)+D_{rho_c},Deqlab{renzoku3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|295#295|; 

$key = q/displaystyleDinv{rho}nablacdotleft(kappanablaTright)-sumD_vnablaq_vcdotnablaleft[(c_{pd}-c_{pv})Tright]Deqlab{netu16};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|547#547|; 

$key = q/displaystyleTleft(DP{S_i}{T}right)_p,Deqlab{thermodyn6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|382#382|; 

$key = q/displaystyleDD{H}{t}=Dinv{rho}left(DD{p}{t}-nablacdotDvect{F}^{rad}-nablacdotDvect{F}^{therm}+varepsilonright)Deqlab{netu3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|488#488|; 

$key = q/displaystyle+C_mlE_{turb}^{1slash2}left{left(DP{u}{y}+DP{v}{x}right)^{2}+left(DP{z}+DP{w}{y}right)^{2}+left(DP{w}{x}+DP{u}{z}right)^{2}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|261#261|; 

$key = q/M_{fall};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|130#130|; 

$key = q/displaystylec_{pv}(p_0,T)-DD{L}{T}Deqlab{thermodyn19};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|431#431|; 

$key = q/displaystyle+left{K_{m}left(DP{v}{x_{j}}+DP{u_{j}}{y}right)-frac{2}{3}delta_{2j}E_{turb}right}DP{v}{x_{j}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|952#952|; 

$key = q/displaystyleDinv{rho}DP{p}{x_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|610#610|; 

$key = q/displaystylefrac{delta_{ij}}{3}q^{2}-ql_{1}left(DP{u_{i}}{x_{j}}+DP{u_{j}}{x_{i}}right)Deqlab{MY1974:Level1(1)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|879#879|; 

$key = q/textstyle-;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|864#864|; 

$key = q/q_dc_{pd}ggq_cc_{pc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|576#576|; 

$key = q/displaystyle+sumfrac{langleMrangle_0}{M_v}left(-frac{q_v}{rho}sumM_{fall}(rho_r)+M_{src}(q_v)+D_{q_v}right)Bigg}Bigg];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|682#682|; 

$key = q/displaystyleDD{overline{u^{prime}_{j}theta^{prime}}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|868#868|; 

$key = q/displaystyleBigg[-DP{Pi^{prime}}{t}+frac{overline{langlec_srangle^2}}{langlec_pr{Dinv{overline{Pi}}(Q_{cond}+Q_{rad}+Q_{dis})+D_{theta}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|734#734|; 

$key = q/displaystylec_{pi}=Tleft(DP{S_i}{T}right)_pDeqlab{thermodyn1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|367#367|; 

$key = q/q;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|849#849|; 

$key = q/displaystyleDP{Pi^{'}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|114#114|; 

$key = q/displaystyleDD{v}{t}=-langlec_{p}rangletheta_{v}DP{Pi}{y}+D_vDeqlab{equations:v2};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|616#616|; 

$key = q/displaystyle-DP{}{x_{j}}left[left(1+sumfrac{L^2overline{q_v}}{langlec_prangle_0Re{Pi}^2overline{theta}^2}right)^{-1}K_hDP{theta_e}{x_j}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|254#254|; 

$key = q/B;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|211#211|; 

$key = q/displaystylefrac{overline{rho}g}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}q_v^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|752#752|; 

$key = q/displaystyle-inttheta^{prime}gznablacdotleft[frac{overline{rho}Dvect{u}}{overline{theta}}right]dV;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|780#780|; 

$key = q/{eqnarraystar}4pir_{d}left(1+frac{Fr}{s}right)&sim&2.24times10^{3}D^{1.6},K_{d}(})&sim&10^{-5}(rho_{v,s}-rho_{v,infty}).{eqnarraystar};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|1049#1049|; 

$key = q/overline{pleft(DP{u^{prime}_{i}}{x_{j}}+DP{u^{prime}_{i}}{x_{j}}right)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|842#842|; 

$key = q/t;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|7#7|; 

$key = q/displaystylev(x,y,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|33#33|; 

$key = q/C;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|212#212|; 

$key = q/displaystyleR_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|200#200|; 

$key = q/displaystyle+Dinv{overline{rho}}M_{fall}(rho_a^{prime})+Dinv{overline{rho}}M_{srsumM_{fall}(rho_r^{prime})+D_{overline{q_a}}+D_{q_a^{prime}}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|124#124|; 

$key = q/displaystylefrac{Loverline{q_v}^{*}}{R_voverline{T}^2},Deqlab{moistturb2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|912#912|; 

$key = q/{displaymath}hat{c_p}DD{T}{t}-Dinv{rho}DD{p}{t}=hat{c_p}left(Q_{cond}+Q_{rad}+Q_{dis}right)+hat{c_p}D_{T}Deqlab{netu17}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|548#548|; 

$key = q/{bf{{164};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|279#279|; 

$key = q/D_{rho_d}+sumD_{rho_v}+sumD_{rho_c}+sumD_{rho_r}=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|302#302|; 

$key = q/displaystyleTleft[left(DP{S_i}{T}right)_pdT+left(DP{S_i}{p}right)_Tdpright]+v_idp+mu_idq_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|379#379|; 

$key = q/^2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|230#230|; 

$key = q/displaystyleleft[1+sumleft(-1+frac{R_v}{R_d}right)overline{q_v}right]bar{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|672#672|; 

$key = q/displaystyle+Dinv{q_d+M_dsumq_vslashM_v}Bigg{D_{q_d}+M_dsumDinv{M_v}left[M_{src}(q_v)+D_{q_v}right]Bigg}Bigg];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|689#689|; 

$key = q/displaystylehat{c_p}DD{T}{t}+c_{pd}TDD{q_d}{t}+sumleft(c_{pv}T+L_{00}right)DD{q_v}{t}+sumc_{pc}TDD{q_c}{t}Deqlab{netu6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|495#495|; 

$key = q/displaystyle-overline{(u_{i}^{prime}u_{j}^{prime})}DP{u_{i}}{x_{j}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|948#948|; 

$key = q/displaystyleDP{w^{'}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|660#660|; 

$key = q/displaystyle-nablacdot[langlec_prangle_0overline{rho}overline{theta_v}Pi^{prime}Dvect{u}];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|732#732|; 

$key = q/displaystylerho=frac{p}{langleRrangle_0Pitheta_v}=frac{p_0Pi^{langlec_{v}ranglesangleRrangletheta_v}Deqlab{equations:u-w-pi-theta:rho};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|623#623|; 

$key = q/{displaymath}DP{}{t}left(rho_d^{prime}+sumrho_v^{prime}right)+nablacdot(overlineo}Dvect{u})=sumM_{src}(rho_v^{prime})Deqlab{AAB}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|725#725|; 

$key = q/displaystyle-u^{prime}DP{q_v^{prime}}{x}-v^{prime}DP{q_v^{prime}}{y}-w^{prime}DP{q_v^{prime}}{z}-w^{prime}DP{overline{q_v}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|709#709|; 

$key = q/K_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|966#966|; 

$key = q/q_L^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|903#903|; 

$key = q/s;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1048#1048|; 

$key = q/{displaymath}V_D=1.4389left(frac{rho_wgD}{rho}right)^{1slash2}Deqlab{shuutan5}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|982#982|; 

$key = q/displaystyleH_dDvect{i}_d+sumH_vDvect{i}_v-kappanablaT;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|470#470|; 

$key = q/displaystyleq_d(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|640#640|; 

$key = q/displaystylefrac{1.4389times3.75pi^{3slash2}}{8}left(frac{rho_wgD}{rho}right)^{1slash2}EN_{0}q_{c}lambda^{-3.5}Deqlab{CL_cr項};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|998#998|; 

$key = q/displaystyle-2.24times10^{-2}Gamma(2.6)(pirho_{w})^{-0.65}N_{0}^{0.35}(q_{v,s}-q_{v,infty})(rho_{d}q_{r})^{0.65};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1055#1055|; 

$key = q/displaystyle+Dinv{q_dlangleMrangle_0slashM_d+sumq_vlangleMrangle_0slashM_v}left(DD{q_d}{t}+sumfrac{langleMrangle_0}{M_v}DD{q_v}{t}right)Bigg];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|607#607|; 

$key = q/{displaymath}langlec_prangle_0DD{T}{t}-Dinv{rho}DD{p}{t}approxlanglec_prangle_0lt(Q_{cond}+Q_{rad}+Q_{dis}right)Deqlab{theta2-1}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|580#580|; 

$key = q/V_D;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|970#970|; 

$key = q/displaystyleDinv{overline{theta}}DP{}{t}left(overline{rho}theta^{prime}gzright)+prime}gzw^{prime}}{{overline{theta}}^2}DP{overline{theta}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|749#749|; 

$key = q/displaystylefrac{1.4389times105pi^{3slash2}}{96}rho_w^{3slash2}g^{1slash2}rho^{-1slash2}N_0left(frac{rho_r}{piN_0rho_w}right)^{9slash8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1022#1022|; 

$key = q/displaystyleDP{}{x_{j}}left(K_{m}DP{E_{turb}}{x_{j}}right),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|960#960|; 

$key = q/displaystyle+Dinv{rho}left[-DP{}{x_j}(rho_ru_j)+M_{src}(rho_r)+M_{fall}(rho_r)+D_{rho_r}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|322#322|; 

$key = q/ql_{1}=K_{m},ql_{2}=ql_{3}=ql_{4}=K_{h};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|895#895|; 

$key = q/textstyle+;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|825#825|; 

$key = q/displaystyleDD{w}{t}=-langlec_{p}rangletheta_{v}DP{Pi}{z}-g+D_wDeqlab{equations:w2};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|617#617|; 

$key = q/displaystyleDP{theta^{'}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|706#706|; 

$key = q/displaystylerhoDD{H}{t}-pDP{u_i}{x_i}-DD{p}{t}+nablacdotDvect{F}^{rad}+nablacdotDvect{F}^{therm}+pDP{u_i}{x_i}-varepsilon;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|486#486|; 

$key = q/displaystyle-sumD_vnablaq_vcdotnablaleft[(c_{pd}-c_{pv})Tright]-Dinv{rho}sumLM_{src}(rho_v);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|538#538|; 

$key = q/displaystylemu_c(p^{*},T)+left(DP{mu_c}{p^{*}}right)_Tdp^{*}+left(DP{mu_c}{T}right)_{p^{*}}dT,Deqlab{Cl-Cl4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|350#350|; 

$key = q/displaystyleV_{term}=0.3224g^{1slash2}left(frac{rho_w}{overline{rho}}right)^{0.375}{q_r^{prime}}^{0.125};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|173#173|; 

$key = q/B=3103;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|214#214|; 

$key = q/displaystylefrac{q_dR_d+sumq_vR_v}{q_d+sumq_v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|554#554|; 

$key = q/displaystyle+Dinv{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}Bigg{-sum(D_{q_v}+D_{q_c}+D_{q_r});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|735#735|; 

$key = q/displaystylefrac{Loverline{q_v}^{*}}{R_voverline{Pi}overline{theta}^2}overline{u_j^{prime}theta^{prime}}Deqlab{moistturb8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|925#925|; 

$key = q/displaystyle+gzleft[-Dinv{overline{rho}}M_{src}(q_c)-D_{q_c}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|760#760|; 

$key = q/displaystyleDP{}{x_{k}}left[qlambda_{1}left(DP{overline{u^{prime}_{i}u^{prime}_{ight)-nuDP{}{x_{k}}overline{u^{prime}_{i}u^{prime}_{j}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|865#865|; 

$key = q/displaystyle-frac{rho_d}{rho^2}left[-DP{}{x_j}(rhou_j)+sumM_{fall}(rho_r)right]+Dinv{rho}left[-DP{}{x_j}(rho_du_j)+D_{rho_d}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|307#307|; 

$key = q/displaystyleH_v(p,T)-pv_v(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|457#457|; 

$key = q/displaystyleH_i(p_0,T_0)+int_{T_0}^{T}T^{prime}left(DP{S_i}{T^{prime}}right)_{p_p}left[Tleft(DP{S_i}{p^{prime}}right)_{T}+v_iright]dp^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|388#388|; 

$key = q/displaystyleDD{}{t}left[frac{p_0Pi^{langlec_vrangle_0slashlangleRrangle}}{langlegle_0slashM_d+sumq_vlangleMrangle_0slashM_vright)theta}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|596#596|; 

$key = q/displaystyleDinv{6}pirho_wD^3g=Dinv{8}rhoV_D^2C_DD^2Deqlab{shuutan2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|974#974|; 

$key = q/Q_{cond};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|126#126|; 

$key = q/displaystyle+DP{}{z}left(C_mlE_{turb}^{1slash2}DP{E_{turb}}{z}right)-left(frac{Cvarepsilon}}{l}right)E_{turb}^{frac{3}{2}}.Deqlab{kiso:TurbE};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|264#264|; 

$key = q/Dvect{u}=(u^{prime},v^{prime},w^{prime});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|720#720|; 

$key = q/textstyleequiv;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|53#53|; 

$key = q/displaystyleq_r(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|646#646|; 

$key = q/{displaymath}eta=eta_{ref}left(frac{T_{ref}+C_{CO_2}}{T+C_{CO_2}}right)left(frac{T}{T_{ref}}right)^{3slash2}Deqlab{CloudM}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|234#234|; 

$key = q/displaystyleDD{u}{t}=-langlec_{p}rangletheta_{v}DP{Pi}{x}+D_uDeqlab{equations:u2};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|615#615|; 

$key = q/displaystylev^{prime}(x,y,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|34#34|; 

$key = q/displaystyleS;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|202#202|; 

$key = q/displaystyleDD{q_{d}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|325#325|; 

$key = q/u^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|101#101|; 

$key = q/displaystyleDP{theta^{prime}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|119#119|; 

$key = q/N_{0}=10^{7},E=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1009#1009|; 

$key = q/L_{00};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|479#479|; 

$key = q/q_vrightarrow0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|525#525|; 

$key = q/displaystyle-u^{prime}DP{q_c^{prime}}{x}-v^{prime}DP{q_c^{prime}}{y}-w^{prime}DP{q_c^{prime}}{z}-frac{overline{q_c}}{overline{rho}}sumPR_r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|157#157|; 

$key = q/R_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|71#71|; 

$key = q/{bf{{107};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|275#275|; 

$key = q/hat{c_p}dTslashdt;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|497#497|; 

$key = q/phi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|741#741|; 

$key = q/displaystylefrac{langleRrangle_0Pitheta_v}{p}left(frac{langlec_{p}rangle}{langleRrangle_0}pPi^{-1}right)DP{Pi}{x_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|613#613|; 

$key = q/F_i^{therm};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|467#467|; 

$key = q/displaystyleoverline{theta}(z)+theta^{prime}(x,y,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|38#38|; 

$key = q/displaystyle-overline{rho}Dvect{u}cdotnablaK-langlec_prangle_0overline{rho}overl^{prime}}{overline{theta_v}}overline{rho}w^{prime}Deqlab{AAA};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|719#719|; 

$key = q/displaystylelanglec_prangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|572#572|; 

$key = q/displaystyleEV_{rv}=4.85times10^{-2}left(q_{vsw}-q_v^{prime}right)(bar{rho}q_r^{prime})^{0.65};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|169#169|; 

$key = q/displaystyleDinv{rho}DD{p}{t}-Dinv{rho}nablacdotDvect{F}^{rad}-Dinv{rho}nablacdotDvect{F}^{therm}+frac{varepsilon}{rho};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|529#529|; 

$key = q/displaystyleD_{E};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|802#802|; 

$key = q/displaystylerholangleRrangle_0left(frac{langleMrangle_0}{M_d}q_d+sumfrac{langleMrangle_0}{M_v}q_vright)T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|566#566|; 

$key = q/displaystylefrac{overline{langlec_srangle^2}}{langlec_prangle_0overline{theta_v}{Dinv{overline{Pi}}(Q_{cond}+Q_{rad}+Q_{dis})+D_{theta}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|690#690|; 

$key = q/displaystyleoverline{q_v^{*}}+left(DP{q_v^{*}}{T}right)_{(overline{T},overline{pright)_{(overline{T},overline{p})}p^{prime}Deqlab{moistturb1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|907#907|; 

$key = q/zeta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|478#478|; 

$key = q/displaystyle-frac{q_{d}}{rho}sumM_{fall}(rho_r)+Dinv{rho}D_{rho_d},Deqlab{sphm6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|326#326|; 

$key = q/displaystyleq_d+sumq_v+sumq_c+sumq_r=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|27#27|; 

$key = q/displaystyle-langlec_prangle_0overline{theta_v}DP{Pi^{prime}}{y}+D_{v}.Deqlab{quasi-equations:u-w-pi-theta:v};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|785#785|; 

$key = q/displaystyleoverline{(u_{i}^{prime}q_v)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|811#811|; 

$key = q/prime;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|30#30|; 

$key = q/displaystyleM_{fall}(rho_v^{prime});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|144#144|; 

$key = q/displaystyleH_v(p_0,T_0)+int_{T_0}^{T}left[c_{pc}(p_0,T^{prime})+DD{L}{T^{prime}}right]dT^{prime}-L(T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|443#443|; 

$key = q/displaystyle+K_{m}left{left(DP{u}{y}+DP{v}{x}right)^{2}+left(DP{v}{z}+DP{w}{y}right)^{2}+left(DP{w}{x}+DP{u}{z}right)^{2}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|958#958|; 

$key = q/displaystyleDinv{rho}M_{src}(rho_v)-Dinv{rho}nablacdotDvect{i}_v,Deqlab{sphm7-B};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|514#514|; 

$key = q/q_{d};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|8#8|; 

$key = q/displaystyleleft(DP{q_v^{*}}{p}right)_{(overline{T},overline{p})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|913#913|; 

$key = q/displaystyleH_v(p_0,T_0)+int_{T_0}^{T}c_{pv}(p_0,T^{prime})dT^{prime}-L(T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|442#442|; 

$key = q/displaystyleH_c(p,T)-H_v(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|401#401|; 

$key = q/displaystyle-nablacdot[langlec_prangle_0overline{rho}overline{theta_v}Pi^{prime}_0Pi^{prime}nablacdot(overline{rho}overline{theta_v}Dvect{u});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|731#731|; 

$key = q/C_{CO_2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|237#237|; 

$key = q/E;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|988#988|; 

$key = q/displaystylelanglec_prangle_0theta_vleft(frac{langlec_vrangle_0}{langlec_pranglele_0Pitheta_v}right)rhoDD{Pi}{t}-frac{rho}{theta}DD{theta}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|600#600|; 

$key = q/displaystylec_{pc}(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|424#424|; 

$key = q/overline{(theta^{prime})^{2}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|885#885|; 

$key = q/overline{rho}v^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|716#716|; 

$key = q/alpha;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|839#839|; 

$key = q/displaystyleleft(q_dc_{pd}+sumq_vc_{pv}+sumq_cc_{pc}right)DD{T}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|493#493|; 

$key = q/displaystyleq_dH_d+sumq_vH_v+sumq_cH_c;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|490#490|; 

$key = q/displaystylethetaequivTleft(frac{p_{0}}{p}right)^{frac{langleRrangle_0}{langlec_{p}rangle_0}}Deqlab{theta4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|568#568|; 

$key = q/mu_v(p^{*}+dp^{*},T+dT);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|346#346|; 

$key = q/displaystyle-nablacdot(overline{rho}KDvect{u})+Knablacdot(overline{rho}Dvect{u});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|728#728|; 

$key = q/displaystyleDD{u}{t}=-Dinv{rho}DP{p}{x}+D_uDeqlab{equations:u};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|282#282|; 

$key = q/displaystylefrac{piN_{0}rho_{w}}{rho}lambda^{-4}.Deqlab{λの式};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1004#1004|; 

$key = q/displaystyleDP{}{x_{j}}overline{pu^{prime}_{i}}+DP{}{x_{i}}overline{pu^{prime}_{e}_{i}}+varepsilon_{ikl}overline{u_{l}^{prime}u^{prime}_{j}});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|827#827|; 

$key = q/displaystyledH_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|377#377|; 

$key = q/displaystyle+Dinv{bar{Pi}}(Q_{cond}+Q_{rad}+Q_{dis})+D_{bar{theta}}+D_{theta^{'}}Deqlab{quasi-equations:u-w-pi-theta:theta};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|790#790|; 

$key = q/textstyleapprox;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|685#685|; 

$key = q/displaystylev_cdp^{*}-s_cdT=v_vdp^{*}-s_vdT,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|357#357|; 

$key = q/displaystyleq_c(x,y,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|47#47|; 

$key = q/displaystylelanglec_srangle^2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|57#57|; 

$key = q/^{-2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|231#231|; 

$key = q/displaystyle+intfrac{overline{rho}gz}{overline{theta}}left[w^{prime}DP{theta}{z}t(Q_{cond}+Q_{rad}+Q_{dis}right)-D_{theta}right]dVDeqlab{AAH};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|783#783|; 

$key = q/(x_{1},x_{3})=(x,z);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1080#1080|; 

$key = q/q_{c0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|166#166|; 

$key = q/PR_r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|219#219|; 

$key = q/q_{vsw};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|170#170|; 

$key = q/displaystyle-frac{rho_v}{rho^2}left[-DP{}{x_j}(rhou_j)+sumM_{fall}(rho_r)right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|311#311|; 

$key = q/displaystylelanglec_srangle^2(x,y,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|41#41|; 

$key = q/eta_{ref};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|235#235|; 

$key = q/lambda_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|877#877|; 

$key = q/displaystyleH_v(p,T)-L(T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|441#441|; 

$key = q/N_{0}=10^{7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|994#994|; 

$key = q/displaystylefrac{1.4389pi}{4}left(frac{rho_wgD}{rho}right)^{1slash2}EN_{0}q_{c}int_{0}^{infty}D^{2.5}exp(-lambdaD)DdD;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|996#996|; 

$key = q/displaystylec_{pc}TDeqlab{thermodyn28};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|463#463|; 

$key = q/displaystyleq_v+q_c+q_rDeqlab{vpot2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|807#807|; 

$key = q/displaystyleL(T_0)-left(c_{pv}-c_{pc}right)T_0Deqlab{thermodyn21};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|436#436|; 

$key = q/R_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|196#196|; 

$key = q/displaystylePR_{r}=DP{}{z}left(bar{rho}q_r^{prime}V_{term}right).Deqlab{teishiki:def_PRr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|171#171|; 

$key = q/displaystylefrac{1.4389times105pi^{3slash8}}{96}rho_w^{3slash8}g^{1slash2}rho^{-1slash2}N_0^{-1slash8}rho_r^{1slash8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1025#1025|; 

$key = q/q_v^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|901#901|; 

$key = q/D_{rho_d};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|504#504|; 

$key = q/Pi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|2#2|; 

$key = q/displaystyleD_{rho_d};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|507#507|; 

$key = q/overline{u_j^{prime}p^{prime}}=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|924#924|; 

$key = q/displaystylefrac{q_{d0}c_{pd}+sumq_{v0}c_{pv}}{q_{d0}+sumq_{v0}}Deqlab{def_Cp};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|62#62|; 

$key = q/displaystylefrac{q_{d0}R_d+sumq_{v0}R_v}{q_{d0}+sumq_{v0}}Deqlab{def_R};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|60#60|; 

$key = q/F_{net};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|242#242|; 

$key = q/tau_{ac};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|167#167|; 

$key = q/displaystyleDP{}{x_{k}}left(overline{u^{prime}_{k}u^{prime}_{j}u^{prime}_{j}}-nught)+2f_kvarepsilon_{jkl}overline{u_{l}^{prime}u^{prime}_{j}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|835#835|; 

$key = q/displaystylec_{pv}T+L_{00}-R_vT;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|458#458|; 

$key = q/displaystyleDP{}{T}left(frac{p_v^{*}slashR_v}{pslashlangleRrangle_0}right)_{(overline{T},overline{p})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|909#909|; 

$key = q/displaystyleDP{overline{u^{prime}_{j}theta^{prime}}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|830#830|; 

$key = q/q_r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|11#11|; 

$key = q/displaystyleDvect{i}_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|520#520|; 

$key = q/displaystyleoverline{langlec_srangle^2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|98#98|; 

$key = q/displaystyle-nablacdotDvect{i}_d,Deqlab{DiffFlux1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|508#508|; 

$key = q/displaystyleH;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|489#489|; 

$key = q/rho_{w};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1005#1005|; 

$key = q/displaystyleq_v^{*}(T,p);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|905#905|; 

$key = q/displaystylerho_glangleRrangleT;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|562#562|; 

$key = q/displaystyle+Dinv{rho}sumDvect{i}_vcdotnablaleft(c_{pd}Tright)-Dinv{rho}sumDvect{i}_vcdotnablaleft(c_{pv}Tright)-Dinv{rho}sumLM_{src}(rho_v);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|537#537|; 

$key = q/q_{v0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|66#66|; 

$key = q/(p^{*},T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|348#348|; 

$key = q/displaystyleU_v(p,T)+H_c(p,T)-H_v(p,T)+pv_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|462#462|; 

$key = q/displaystylemu_v(p^{*},T),Deqlab{Cl-Cl1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|341#341|; 

$key = q/displaystyle-w^{'}frac{langleRrangle_0}{langlec_vrangle}_0bar{Pi}Dinv{left(frac{ec_prangle_0bar{theta_v}}left(DP{u^{'}}{x}+DP{w^{'}}{z}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|699#699|; 

$key = q/displaystyleoverline{langlec_srangle^2}=frac{langlec_prangle_0langleRrangle_0bar{Pi}bar{theta_v}}{langlec_vrangle_0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|695#695|; 

$key = q/displaystyleCL_{cr}=10.344g^{1slash2}left(frac{bar{rho}}{rho_w}right)^{0.375}q_c^{prime}{q_r^{prime}}^{0.875}Deqlab{def_CLcr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|168#168|; 

$key = q/displaystyleD_{rho_d},Deqlab{renzoku1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|291#291|; 

$key = q/displaystylec_{vv}T+L_{00},Deqlab{thermodyn27};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|459#459|; 

$key = q/displaystyle-u^{'}DP{w^{'}}{x}-v^{'}DP{w^{'}}{y}-w^{'}DP{w^{'}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|664#664|; 

$key = q/displaystylefrac{rho_d}{rho},Deqlab{qd};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|20#20|; 

$key = q/lambda_{i}(i=1,2,3);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|856#856|; 

$key = q/displaystylehat{c_p}D_{T};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|546#546|; 

$key = q/displaystyleDP{}{t}left(frac{rho_r}{rho}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|319#319|; 

$key = q/R_{d};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1071#1071|; 

$key = q/displaystyleDinv{rho}DD{p}{t}-Dinv{rho}nablacdotDvect{F}^{rad}+frac{varepsilon}{rho};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|532#532|; 

$key = q/displaystyleoverline{Pi};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|90#90|; 

$key = q/{displaymath}EV_{rv}=frac{1}{rho_{d}}int_{0}^{infty}left(DD{m}{t}right)_{ev}N_{D}DdDDeqlab{蒸発による雨水混合比の増加率}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1027#1027|; 

$key = q/p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|281#281|; 

$key = q/displaystyleDeqlab{AAF-3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|761#761|; 

$key = q/displaystyleD_{rho_c};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|511#511|; 

$key = q/displaystylew(x,y,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|35#35|; 

$key = q/y;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|5#5|; 

$key = q/displaystyle-frac{rho_v}{rho^2}DP{rho}{t}+Dinv{rho}DP{rho_v}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|310#310|; 

$key = q/displaystylefrac{overline{rho}}{overline{theta}}theta^{prime}DD{}{t}(gz)+frac{ovrline{Pi}}left(Q_{cond}+Q_{rad}+Q_{dis}right)-D_{theta}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|745#745|; 

$key = q/displaystyle-u_jDP{}{x_j}left(frac{rho_v}{rho}right)-frac{rho_v}{rho^2}sumM_{falo_r)+Dinv{rho}M_{src}(rho_v)+Dinv{rho}D_{rho_v},Deqlab{sphm3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|313#313|; 

$key = q/displaystyleDD{w}{t}=-Dinv{rho}DP{p}{z}-g+D_wDeqlab{equations:w};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|284#284|; 

$key = q/displaystyle+Dinv{q_d+M_dsumq_vslashM_v}Bigg{D_{q_d}+M_dsumDinv{M_v}left[M_{src}(q_v)+D_{q_v}right]Bigg}Bigg]Deqlab{pressEQ1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|683#683|; 

$key = q/displaystyledthetasimeqsumfrac{Lq_v}{Pilanglec_prangle}_0Deqlab{epot3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|593#593|; 

$key = q/displaystylerho=rho_d+sumrho_v+sumrho_c+sumrho_r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|17#17|; 

$key = q/theta_e^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|902#902|; 

$key = q/displaystyle-overline{u^{prime}_{j}u^{prime}_{k}}DP{theta}{x_{k}}-overline{thetame}_{j}}{x_{k}}DP{theta^{prime}}{x_{k}}}.Deqlab{MY1974:eq(8)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|832#832|; 

$key = q/displaystyleoverline{q_d}(z)+{q_d}^{prime}(x,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|641#641|; 

$key = q/displaystyle-u^{prime}DP{q_r^{prime}}{x}-v^{prime}DP{q_r^{prime}}{y}-w^{prime}DPv{overline{rho}}PR_r+CN_{cr}+CL_{cr}-EV_{rv}+D_{q_r^{prime}}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|160#160|; 

$key = q/displaystyleBigg{-sum(D_{q_v}+D_{q_c}+D_{q_r})+sumfrac{R_v}{R_d}left[M_{src}(q_v)+D_{q_v}right]Bigg}Bigg];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|118#118|; 

$key = q/displaystyleDP{E_{turb}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|257#257|; 

$key = q/{displaymath}left(DD{m}{t}right)_{ev}=-4pir_{d}^{2}F(r_{d}){displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1030#1030|; 

$key = q/displaystyleF_D=Dinv{8}rhoV_D^2C_DD^2Deqlab{shuutan1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|972#972|; 

$key = q/C=-1slash3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|875#875|; 

$key = q/displaystyle+K_hleft(1+sumfrac{R_v}{R_d}overline{q_v}-sumoverline{q_L}right)^{-1}DP{left(sumq_Lright)}{x_j},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|941#941|; 

$key = q/displaystyleDeqlab{pressEQ3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|702#702|; 

$key = q/displaystyleCN_{cr}=left(q_{c}^{prime}-q_{c0}right)slashtau_{ac}Deqlab{def_CNcr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|165#165|; 

$key = q/q_{r};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|300#300|; 

$key = q/^{-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|162#162|; 

$key = q/displaystyleDP{rho_v}{t}+DP{}{x_j}(rho_vu_j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|292#292|; 

$key = q/displaystylefrac{theta^{prime}}{overline{theta}}+frac{sumfrac{R_v}{R_d}q_v^{primsumfrac{R_v}{R_d}overline{q_v}-sumoverline{q_L}}Deqlab{vpot1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|805#805|; 

$key = q/displaystyle-gfrac{K_h}{overline{theta}}DP{theta}{z}-gK_hfrac{sumfrac{R_v}{R_d}D}{1+sumfrac{R_v}{R_d}overline{q_v}-sumoverline{q_L}}Deqlab{B};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|945#945|; 

$key = q/displaystylefrac{rho_c}{rho},Deqlab{qc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|24#24|; 

$key = q/displaystyleleft(rho_d+sumrho_vright)frac{q_dR_d+sumq_vR_v}{q_d+sumq_v}T.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|552#552|; 

$key = q/rho_{v}=rho_{v,s};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1039#1039|; 

$key = q/displaystyleq_c(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|644#644|; 

$key = q/displaystyle-frac{overline{{c_{s}}^{2}}}{langlec_prangle_0bar{rho}bar{theta_v}^{2}}Ddivleft(bar{rho}bar{theta_v}Dvect{u^{'}}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|701#701|; 

$key = q/displaystyle-u^{prime}DP{v^{prime}}{x}-v^{prime}DP{v^{prime}}{y}-w^{prime}DP{v^{{z}-langlec_prangle_0overline{theta_v}DP{Pi^{prime}}{y}+D_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|110#110|; 

$key = q/{displaymath}DP{rho_d^{prime}}{t}+DP{}{x}left(u^{prime}overline{rho_d}right)+DP{t(w^{prime}overline{rho_d}right)=0,Deqlab{AAA-2}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|723#723|; 

$key = q/g;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1067#1067|; 

$key = q/displaystyle-g+D_{w^{'}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|663#663|; 

$key = q/displaystyle-2overline{u^{prime}_{j}u^{prime}_{k}}DP{u_{j}}{x_{k}}+2g_{j}overlinx_{k}}right]-2frac{q^{3}}{Lambda_{1}}Deqlab{MY1974:Level3(1)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|882#882|; 

$key = q/F_r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1010#1010|; 

$key = q/displaystyleDD{E_{turb}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|795#795|; 

$key = q/displaystyleK_{d}frac{rho_{v,s}-rho_{v,infty}}{r_{d}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1045#1045|; 

$key = q/K_{d};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1035#1035|; 

$key = q/displaystylec_{pd}TDvect{i}_d+sumleft(c_{pv}T+L_{00}right)Dvect{i}_v-kappanablaT,Deqlab{netu1-A};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|471#471|; 

$key = q/r_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|189#189|; 

$key = q/displaystylemu_c(p,T)-mu_v(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|413#413|; 

$key = q/displaystyle+Dinv{rho}sumc_{pc}TM_{src}(rho_v)Deqlab{netu9};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|517#517|; 

$key = q/overline{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1075#1075|; 

$key = q/displaystylew^{prime}(x,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|635#635|; 

$key = q/displaystyle-int_{p^{*}}^{p}left[v_v(p^{prime},T)-v_c(p^{prime},T)right]dp^{prime}Deqlab{thermodyn17};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|414#414|; 

$key = q/displaystylefrac{R_vT}{Dp_{ast}}=frac{R_vthetaPi}{Dp_{ast}},Deqlab{CloudD};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|201#201|; 

$key = q/L(T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|480#480|; 

$key = q/D_{*};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1065#1065|; 

$key = q/displaystyleDinv{rho}D_{rho_d},Deqlab{sphm6-A};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|501#501|; 

$key = q/displaystylefrac{g}{overline{theta}}overline{w^{prime}theta^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|944#944|; 

$key = q/displaystyle-u^{prime}DP{theta^{prime}}{x}-v^{prime}DP{theta^{prime}}{y}-w^{prim{theta}}{z}+frac{L_s}{langlec_{p}rangle_0overline{Pi}}CN_{vr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|181#181|; 

$key = q/displaystyle+D_{overline{theta}}+D_{theta^{prime}}Deqlab{def_theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|121#121|; 

$key = q/displaystyleM_{src}(rho_r^{prime});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|142#142|; 

$key = q/Dvect{F}^{therm};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|528#528|; 

$key = q/displaystylemu_c(p^{*}+dp^{*},T+dT);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|342#342|; 

$key = q/displaystyle-K_{h}DP{q_v}{x_j}Deqlab{レイノルズ応力3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|812#812|; 

$key = q/displaystyleDD{theta}{t}=Dinv{Pi}left(Q_{cond}+Q_{rad}+Q_{dis}right)+D_{theta}Deqlab{equations:u-w-pi-theta:theta};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|624#624|; 

$key = q/displaystyle-left(DP{S_i}{p}right)_T=left(DP{v_i}{T}right)_pDeqlab{thermodyn2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|368#368|; 

$key = q/displaystyle-w^{'}DP{bar{Pi}}{z}-frac{overline{langlec_srangle^2}}{langlec_prangle_0bar{theta_v}}DP{u_j^{'}}{x_j};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|696#696|; 

$key = q/displaystyle+langlec_prangle_0bar{theta_{v}}left(frac{g}{langlec_prangle_0bar{thrac{g}{langlec_prangle_0bar{theta_{v}}}right)-g+D_{w^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|667#667|; 

$key = q/displaystyle-frac{q}{3l_{1}}(overline{u^{prime}_{i}u^{prime}_{j}}-frac{delta_{ij{3}frac{q^{3}}{Lambda_{1}}delta_{ij},Deqlab{MY1974:Level4(1)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|867#867|; 

$key = q/overline{pDP{theta^{prime}}{x_{j}}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|845#845|; 

$key = q/displaystyleu(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|630#630|; 

$key = q/displaystyle-frac{q_{c}}{rho}sumM_{fall}(rho_r)+Dinv{rho}M_{src}(rho_c)+Dinv{rho}D_{rho_c},Deqlab{sphm8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|330#330|; 

$key = q/displaystylemu_c(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|408#408|; 

$key = q/displaystyleoverline{theta_v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|88#88|; 

$key = q/displaystyleV_{term}=frac{F_r}{rho_r}Deqlab{TermVel1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1011#1011|; 

$key = q/displaystyleoverline{Pi}(z)+Pi^{prime}(x,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|639#639|; 

$key = q/displaystyleu^{prime}(x,y,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|32#32|; 

$key = q/displaystyleDP{}{x_{k}}left[qlambda_{1}left(DP{q^{2}}{x_{k}}+2DP{overline{u^{prime}_{j}u^{prime}_{k}}}{x_{j}}right)-nuDP{q^{2}}{x_{k}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|872#872|; 

$key = q/displaystyleq_d(x,y,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|43#43|; 

$key = q/displaystyle-u^{prime}DP{theta^{prime}}{x}-v^{prime}DP{theta^{prime}}{y}-w^{primrline{theta}}{z}+Dinv{overline{Pi}}(Q_{cond}+Q_{rad}+Q_{dis});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|120#120|; 

$key = q/displaystyle-3gC_mlE_{turb}^{1slash2}left(1+sumfrac{L^2overline{q_v}}{langlec_prangle_0R_voverline{theta}^2overline{Pi}^2}right)^{-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|265#265|; 

$key = q/displaystyleDD{q^{2}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|871#871|; 

$key = q/displaystyleleft(DP{H_i}{T}right)_p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|381#381|; 

$key = q/m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1016#1016|; 

$key = q/displaystyleleft[Dinv{overline{theta}}+Dinv{R_doverline{Pi}overline{theta}^2}lefL}right)^{-1}left(sumLoverline{q_v}right)right]DP{theta_e}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|266#266|; 

$key = q/displaystyle-langlec_prangle_0overline{theta_v}DP{Pi^{prime}}{y}+D_{v}.Deqlab{bunri:moist:dvdt};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|659#659|; 

$key = q/displaystylemu_c(p,T)-mu_v(p,T)-TDP{}{T}left[mu_c(p,T)-mu_v(p,T)right]_p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|405#405|; 

$key = q/displaystyle+Dinv{rho}left[-DP{}{x_j}(rho_cu_j)+M_{src}(rho_c)+D_{rho_c}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|317#317|; 

$key = q/displaystyleS_i(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|403#403|; 

$key = q/_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|186#186|; 

$key = q/T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|280#280|; 

$key = q/q_L;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|888#888|; 

$key = q/displaystyletheta_vequivfrac{T_v}{Pi}=left(frac{langleMrangle_0}{M_d}q_d+sumfrac{langleMrangle_0}{M_v}q_vright)theta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|669#669|; 

$key = q/k_B;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|226#226|; 

$key = q/displaystyle-overline{u^{prime}_{k}u^{prime}_{i}}DP{u_{j}}{x_{k}}-overline{u^{pra_{v}^{prime}}+g_{i}overline{u^{prime}_{j}theta_{v}^{prime}});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|866#866|; 

$key = q/displaystylefrac{overline{rho}g}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}q_c^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|757#757|; 

$key = q/q_{d0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|65#65|; 

$key = q/displaystyle+frac{overline{rho}gz}{overline{theta}}left[w^{prime}DP{overline{therline{Pi}}left(Q_{cond}+Q_{rad}+Q_{dis}right)-D_{theta}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|748#748|; 

$key = q/sigma;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|227#227|; 

$key = q/displaystyle-w^{'}DP{}{z}left(frac{bar{rho}langleRrangle_0bar{theta_v}}{p_{0}}riec_prangle_0bar{theta_v}}left(DP{u^{'}}{x}+DP{w^{'}}{z}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|698#698|; 

$key = q/displaystylemu_c(p^{*},T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|340#340|; 

$key = q/displaystyleleft[Dinv{overline{theta}}+Dinv{R_doverline{Pi}overline{theta}^2}lefright)^{-1}left(sumLoverline{q_v}right)right]DP{theta_e}{x_j};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|940#940|; 

$key = q/displaystyleoverline{u^{prime}_{j}theta_e^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|933#933|; 

$key = q/displaystyle+frac{overline{rho}gz}{overline{theta}}left[w^{prime}DP{overline{theft(Q_{cond}+Q_{rad}+Q_{dis}right)-D_{theta}right],Deqlab{AAF};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|751#751|; 

$key = q/q_{d0}+sumq_{v0}=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|73#73|; 

$key = q/langlec_{v}rangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1064#1064|; 

$key = q/K_{h};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|255#255|; 

$key = q/displaystylec_{pv}T+L_{00}Deqlab{thermodyn24};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|449#449|; 

$key = q/u,v,w;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|3#3|; 

$key = q/dHslashdt;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|484#484|; 

$key = q/displaystyleN_{0}exp(-lambdaD),Deqlab{マーシャル・パルマー型分布関数1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|990#990|; 

$key = q/displaystyleC_{m}{E_{turb}}^{1slash2}l,Deqlab{B:E};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|820#820|; 

$key = q/displaystyle+DP{}{x}left(C_mlE_{turb}^{1slash2}DP{E_{turb}}{x}right)+DP{}{y}left(C_mlE_{turb}^{1slash2}DP{E_{turb}}{y}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|263#263|; 

$key = q/eta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|233#233|; 

$key = q/displaystyle+Dinv{bar{Pi}}(Q_{cond}+Q_{rad}+Q_{dis})+D_{bar{theta}}+D_{theta^{'}}Deqlab{Thermeq};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|708#708|; 

$key = q/displaystyleH_i(p_0,T_0)+int_{T_0}^{T}left(DP{H_i}{T^{prime}}right)_{p_0}dT^{prime}+int_{p_0}^{p}left(DP{H_i}{p^{prime}}right)_{T}dp^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|387#387|; 

$key = q/displaystylec_{pi}(p_0,T)-Tint_{p_0}^{p}left(DP[2]{v_i}{T}right)_{p^{prime}}dp^{prime}Deqlab{thermodyn3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|373#373|; 

$key = q/i=1,3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1077#1077|; 

$key = q/(u_{1},u_{3})=(u,w);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1078#1078|; 

$key = q/displaystyleV_D;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|991#991|; 

$key = q/overline{u^{prime}_{j}theta^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|884#884|; 

$key = q/displaystyle-K_{h}DP{theta}{x_j}Deqlab{レイノルズ応力2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|810#810|; 

$key = q/{eqnarraystar}overline{u^{prime}_{k}u^{prime}_{i}u^{prime}_{j}}&=&-qlambda_{1}leP{overline{(theta^{prime})^{2}}}{x_{k}}.{eqnarraystar};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|855#855|; 

$key = q/CN_{vc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|132#132|; 

$key = q/displaystyleTleft(frac{p_0}{p}right)^{langleRrangle_0slashlanglec_prangle_0}=frac{T}{Pi}Deqlab{温位の定義};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|56#56|; 

$key = q/D;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|205#205|; 

$key = q/displaystyle-overline{u^{prime}_{j}u^{prime}_{k}}DP{u_{j}}{x_{k}}+g_{j}overline{sh2}}{Lambda_{1}}E_{turb}^{3slash2}Deqlab{乱流エネルギーの式};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|900#900|; 

$key = q/{eqnarraystar}q&equiv&sqrt{overline{(u^{prime}_{i})^{2}}}&=&sqrt{2E_{turb}}{eqnarraystar};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|837#837|; 

$key = q/hat{c_p};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|298#298|; 

$key = q/displaystyleq_{d};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|18#18|; 

$key = q/displaystyle+langlec_prangle_0overline{rho}overline{theta_v}Pi^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|738#738|; 

$key = q/displaystylelangleRrangle_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|59#59|; 

$key = q/displaystyle-frac{1}{rho_{d}}2.24times10^{-2}(q_{v,s}-q_{v,infty})int_{0}^{infty}D^{1.6}N_{D}DdD,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1052#1052|; 

$key = q/displaystyleDP{overline{Pi}}{z}=-frac{g}{langlec_prangle_0overline{theta_v}}Deqlab{basic6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|97#97|; 

$key = q/displaystylefrac{langlec_prangle_0langleRrangle_0overline{Pi}overline{theta_v}}{langlec_vrangle_0}Deqlab{basic7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|99#99|; 

$key = q/CL_{cr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|136#136|; 

$key = q/displaystylev^{prime}(x,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|633#633|; 

$key = q/displaystyle+K_{m}left(DP{w}{x}+DP{u}{z}right)DP{w}{x}+K_{m}left(DP{w}{y}+DP{v}{DP{w}{y}+left{2K_{m}DP{w}{z}-frac{2}{3}E_{turb}right}DP{w}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|956#956|; 

$key = q/displaystyleDP{q_r^{prime}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|159#159|; 

$key = q/displaystyle-4.81times10^{-2}(q_{v,s}-q_{v,infty})(rho_{d}q_{r})^{0.65};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1057#1057|; 

$key = q/displaystyleoverline{T}left(frac{p_0}{overline{p}}right)^{langleRrangle_0slashlaglec_prangle_0}=frac{overline{T}}{overline{Pi}}Deqlab{basic4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|93#93|; 

$key = q/p^{*};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|339#339|; 

$key = q/displaystylefrac{g_{j}}{overline{theta_v}}overline{u^{prime}_{j}theta_v^{prime}},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|800#800|; 

$key = q/displaystyle-q_c^{prime}gznablacdotleft[frac{overline{rho}Dvect{u}}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|759#759|; 

$key = q/displaystyleleft(frac{langleMrangle_0}{M_d}q_d+sumfrac{langleMrangle_0}{M_v}q_vright)theta,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|81#81|; 

$key = q/displaystyle-c_{pd}TDD{q_d}{t}-sumleft(c_{pv}T+L_{00}right)DD{q_v}{t}-sumc_{pc}TDD{q_c}{t}Deqlab{netu8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|500#500|; 

$key = q/overline{rho};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1073#1073|; 

$key = q/displaystyleDP{}{x_{k}}left[qlambda_{2}left(DP{overline{u^{prime}_{k}theta^{prim}+DP{overline{u^{prime}_{j}theta^{prime}}}{x_{k}}right)right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|869#869|; 

$key = q/displaystyle-Dinv{rho}nablacdotleft[c_{pd}TDvect{i}_d+sumleft(c_{pv}T+L_{00}right)Dvect{i}_v-kappanablaTright];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|533#533|; 

$key = q/{displaymath}Q_{rad}=-frac{1}{overline{rho}langlec_{p}rangle_0}DD{F_{net}}{z}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|243#243|; 

$key = q/r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1031#1031|; 

$key = q/displaystyleq_v^{*}(overline{T},overline{p})+left(DP{q_v^{*}}{T}right)_{(overlineft(DP{q_v^{*}}{p}right)_{(overline{T},overline{p})}p^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|906#906|; 

$key = q/p_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|374#374|; 

$key = q/displaystyle-frac{overline{{langlec_{s}rangle}^{2}}}{langlec_prangle_0bar{rho}baar{rho}bar{theta_v}left(DP{u^{'}}{x}+DP{w^{'}}{z}right)right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|700#700|; 

$key = q/_{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|175#175|; 

$key = q/r=infty;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1040#1040|; 

$key = q/i=j;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|833#833|; 

$key = q/r_{aero};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|190#190|; 

$key = q/displaystyleDP{bar{Pi}+Pi^{'}}{t}+u^{'}DP{bar{Pi}+Pi^{'}}{x}+v^{'}DP{bar{Pi}+Pi^{'}}{y}+w^{'}DP{bar{Pi}+Pi^{'}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|684#684|; 

$key = q/displaystyleleft[1+sumleft(-1+frac{R_v}{R_d}right)overline{q_v}right]theta^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|675#675|; 

$key = q/displaystyle-langlec_prangle_0left(bar{theta_{v}}DP{bar{Pi}}{x}+bar{theta_{v}}DP}}^{'}DP{bar{Pi}}{x}+{theta_{v}}^{'}DP{Pi^{'}}{x}right)+D_{u};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|652#652|; 

$key = q/displaystyleDP{}{T}left[H_v(p_0,T_0)+int_{T_0}^{T}c_{pv}(p_0,T^{prime})dT^{prime}-L(T)right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|430#430|; 

$key = q/displaystyle+Dinv{overline{rho}}M_{src}(rho_c^{prime})+D_{q_c^{prime}},Deqlab{quasi-equations:u-w-pi-theta:qc};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|792#792|; 

$key = q/displaystyletheta_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|80#80|; 

$key = q/displaystyle-1.7times10^{-4}N_{0}^{0.35}(q_{v,s}-q_{v,infty})(rho_{d}q_{r})^{0.65};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1056#1056|; 

$key = q/overline{u^{prime}_{i}u^{prime}_{j}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|883#883|; 

$key = q/displaystyle-int_{p^{*}}^{p}v_v(p^{prime},T)dp^{prime}+Tint_{p^{*}}^{p}DP{v_v(p^{prime},T)}{T}dp^{prime}-TDD{p^{*}}{T}v_v(p^{*},T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|420#420|; 

$key = q/displaystylePR_r,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|148#148|; 

$key = q/C_D;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|973#973|; 

$key = q/q_c>0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|815#815|; 

$key = q/displaystyle-2overline{u^{prime}_{j}u^{prime}_{k}}DP{u_{j}}{x_{k}}+2g_{j}overlina_v^{prime}}-2frac{q^{3}}{Lambda_{1}}Deqlab{MY1974:Level4(3)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|873#873|; 

$key = q/displaystyleD_{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|251#251|; 

$key = q/p_{ast};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|206#206|; 

$key = q/{displaymath}p_{ast}approxexpleft(A-frac{B}{T}right)Deqlab{CloudH}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|218#218|; 

$key = q/displaystylefrac{piN_{0}rho_{w}}{6rho}int_{0}^{infty}D^{3}exp(-lambdaD)DdD;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1002#1002|; 

$key = q/displaystyle-ql_{3}DP{q_v}{x_{j}},Deqlab{MY1974:Level1(3)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|890#890|; 

$key = q/displaystyle-overline{rho}CN_{vr},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|178#178|; 

$key = q/displaystylec_{pc}TDeqlab{thermodyn23};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|446#446|; 

$key = q/displaystyleDP{v^{'}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|653#653|; 

$key = q/r_{d};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1032#1032|; 

$key = q/displaystyleE_{turb}=frac{1}{2}overline{(u^{prime})^{2}+(v^{prime})^{2}+(w^{prime})^{2}}=frac{{K_{m}}^{2}}{C_{m}^{2}l^{2}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|249#249|; 

$key = q/displaystylefrac{langlec_prangle_0langleRrangle_0Pitheta_v}{langlec_vrangle_0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|58#58|; 

$key = q/U_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|335#335|; 

$key = q/displaystyleU_v(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|456#456|; 

$key = q/displaystyle-KDP{}{t}left(rho_d^{prime}+rho_v^{prime}right)+overline{rho}Dvect{u}cdotDvect{D}+KM_{src}(rho_v^{prime});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|768#768|; 

$key = q/p_{0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1069#1069|; 

$key = q/C_{CO_2}=240;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|241#241|; 

$key = q/overline{T};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|100#100|; 

$key = q/overline{Pi};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1070#1070|; 

$key = q/displaystyle-frac{rho_c}{rho^2}left[-DP{}{x_j}(rhou_j)+sumM_{fall}(rho_r)right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|316#316|; 

$key = q/displaystyleleft(DP{q_v^{*}}{T}right)_{(overline{T},overline{p})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|908#908|; 

$key = q/displaystyleoverline{q_v}(z)+{q_v}^{prime}(x,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|643#643|; 

$key = q/EV_{cv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|133#133|; 

$key = q/displaystyle-langlec_prangle_0left(bar{theta_{v}}DP{bar{Pi}}{z}+bar{theta_{v}}DPeta_{v}}^{'}DP{bar{Pi}}{z}+{theta_{v}}^{'}DP{Pi^{'}}{z}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|662#662|; 

$key = q/displaystyleDinv{Pi}Q_{cond}=-sumfrac{L}{Pilanglec_prangle_0}M_{src}(rho_v),Deqlab{epot1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|589#589|; 

$key = q/displaystylec_{pd}T,Deqlab{thermodyn22};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|440#440|; 

$key = q/{displaymath}=-frac{q}{3l_{2}}overline{u^{prime}_{j}theta^{prime}}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|846#846|; 

$key = q/langlec_{p}rangle_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|574#574|; 

$key = q/displaystyle+3gC_mlE_{turb}^{1slash2}left(1+sumfrac{R_v}{R_d}overline{q_v}-sumoverline{q_L}right)^{-1}DP{left(sumq_Lright)}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|267#267|; 

$key = q/displaystylerho=frac{p_{0}Pi^{langlec_vrangle_0slashlangleRrangle_0}}{langleRranslashM_d+sumq_vlangleMrangle_0slashM_vright)theta}Deqlab{Tfg};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|575#575|; 

$key = q/i=v,c;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|407#407|; 

$key = q/displaystyleM_{src}(rho_r)+M_{fall}(rho_r)+D_{rho_r}Deqlab{renzoku4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|297#297|; 

$key = q/displaystylefrac{piN_{0}rho_{w}}{6rho}frac{6}{lambda^{4}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1003#1003|; 

$key = q/displaystyle-S_i,Deqlab{Cl-Cl7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|354#354|; 

$key = q/displaystyleoverline{q_v}(z)+{q_v}^{prime}(x,y,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|46#46|; 

$key = q/displaystyleH_i(p_0,T_0)+int_{T_0}^{T}c_{pi}(p_0,T^{prime})dT^{prime}+int_{p_0}^}left[-Tleft(DP{v_i}{T}right)_{p^{prime}}+v_iright]dp^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|389#389|; 

$key = q/langleRrangle_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|75#75|; 

$key = q/displaystyleDP{Pi^{'}}{t}+w^{'}DP{bar{Pi}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|686#686|; 

$key = q/displaystylemu_v(p,T)+TS_v(p,T)Deqlab{thermodyn11};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|400#400|; 

$key = q/displaystylefrac{1.4389times105pi^{3slash2}}{96}rho_w^{3slash2}g^{1slash2}rho^{-1slash2}N_0lambda^{-9slash2}Deqlab{TermVel6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1021#1021|; 

$key = q/alphaoverline{u^{prime}_{j}DP{theta^{prime}}{x_{k}}},;nuoverline{theta^{prime}DP{u^{prime}_{j}}{x_{k}}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|862#862|; 

$key = q/E_{turb};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|248#248|; 

$key = q/displaystyleDP{}{T}left[H_v(p,T)-L(T)right]_p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|429#429|; 

$key = q/S;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|197#197|; 

$key = q/displaystyleq_r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|25#25|; 

$key = q/displaystyle-frac{K_h}{overline{theta}}DP{theta}{x_j}-K_hfrac{sumfrac{R_v}{R_d}Dq_L}{x_j}}{1+sumfrac{R_v}{R_d}overline{q_v}-sumoverline{q_L}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|899#899|; 

$key = q/displaystylerho_glangleRrangle_0T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|563#563|; 

$key = q/displaystylemu_c(p,T)+TS_c(p,T),Deqlab{thermodyn10};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|398#398|; 

$key = q/k_B=1.38times10^{-23};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|229#229|; 

$key = q/displaystylefrac{overline{rho}g}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}q_r^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|762#762|; 

$key = q/lambda;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|224#224|; 

$key = q/R_h;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|195#195|; 

$key = q/displaystylefrac{p}{p_{ast}}=frac{{p_0}^{frac{c_p}{R}}Pi}{p_{ast}}Deqlab{CloudE};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|203#203|; 

$key = q/displaystyletheta(x,y,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|37#37|; 

$key = q/T_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|385#385|; 

$key = q/displaystyleDP{}{t}left(frac{rho_c}{rho}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|314#314|; 

$key = q/displaystyle-overline{rho}Dvect{u}cdotnablaK;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|727#727|; 

$key = q/displaystyle+CN_{vc}-EV_{cv}-CN_{cr}-CL_{cr}+D_{q_c^{prime}},Deqlab{def_qc2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|158#158|; 

$key = q/displaystyle-u_jDP{}{x_j}left(frac{rho_d}{rho}right)-frac{rho_d}{rho^2}sumM_{fall}(rho_r)+Dinv{rho}D_{rho_d},Deqlab{sphm2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|308#308|; 

$key = q/displaystyle-frac{p_0Pi^{langlec_vrangle_0slashlangleRrangle}}{langleRrangle_0leshM_d+sumq_vlangleMrangle_0slashM_vright)theta^2}DD{theta}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|598#598|; 

$key = q/displaystyleDD{theta}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|582#582|; 

$key = q/displaystyleBigg[Dinv{overline{theta}}left{Dinv{overline{Pi}}(Q_{cond}+Q_{rad}+Q_{dis})+D_{theta}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|739#739|; 

$key = q/displaystyleH_i(p_0,T_0)+int_{T_0}^{T}c_{pi}(p_0,T^{prime})dT^{prime}-T^2int_{p_t(DP{v_i}{T}right)_{p^{prime}}-frac{v_i}{T^2}right]dp^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|390#390|; 

$key = q/displaystyleDD{Pi}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|605#605|; 

$key = q/q_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|28#28|; 

$key = q/{displaymath}f_{k}varepsilon_{jkl}overline{u_{l}^{prime}u^{prime}_{i}}=f_{k}varelon_{ikl}overline{u_{l}^{prime}u^{prime}_{j}}=0,{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|860#860|; 

$key = q/displaystylep;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|549#549|; 

$key = q/partial(v_islashT)_{p}slashpartialT=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|393#393|; 

$key = q/rho_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|981#981|; 

$key = q/k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|204#204|; 

$key = q/displaystyle-frac{rho_r}{rho^2}left[-DP{}{x_j}(rhou_j)+sumM_{fall}(rho_r)right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|321#321|; 

$key = q/displaystyleTleft(DP{S_i}{T}right)_pdT+left[Tleft(DP{S_i}{p}right)_Tdp+v_iright]dp+mu_idq_iDeqlab{thermodyn5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|380#380|; 

$key = q/displaystyle-DP{}{x_{j}}left[-K_{m}left(DP{u_{i}}{x_{j}}+DP{u_{j}}{x_{i}}right)+frac{2}{3}delta_{ij}E_{turb}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|246#246|; 

$key = q/displaystyle-overline{u^{prime}_{j}u^{prime}_{k}}DP{u_{j}}{x_{k}}+g_{j}overline{h2}}{Lambda_{1}}E_{turb}^{3slash2}Deqlab{乱流エネルギーの式2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|942#942|; 

$key = q/displaystylemu_c(p^{*}+dp^{*},T+dT)-mu_c(p^{*},T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|344#344|; 

$key = q/varepsilon;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|468#468|; 

$key = q/hat{c_p}approxlanglec_prangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|578#578|; 

$key = q/displaystyle-ql_{6}DP{q_L}{x_{j}}Deqlab{moistturb13};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|935#935|; 

$key = q/C_{m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1061#1061|; 

$key = q/displaystyleoverline{u_j^{prime}{q_v^{*}}^{prime}}=frac{Loverline{q_v}^{*}}{R_vo)^{-1}overline{u_j^{prime}theta_e^{prime}}Deqlab{moistturb11};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|932#932|; 

$key = q/displaystyleBigg[left{w^{prime}sumleft(-1+R_vslashR_dright)DP{q_v}{z}right}+leftq_v}R_v}{overline{rho}R_d}right)left(sumM_{fall}(rho_r)right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|772#772|; 

$key = q/mu_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|415#415|; 

$key = q/{displaymath}=frac{2}{3}frac{q^{3}}{Lambda_{1}}delta_{ij}.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|850#850|; 

$key = q/{displaymath}left(DD{m}{t}right)_{cr}=frac{pi}{4}D^{2}V_DErhoq_{c}Deqlab{衝突併合による雨粒の成長方程式}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|987#987|; 

$key = q/displaystyle-overline{u^{prime}_{k}u^{prime}_{i}}DP{u_{j}}{x_{k}}-overline{u^{prne{u^{prime}_{i}theta_v}+g_{i}overline{u^{prime}_{j}theta_v});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|828#828|; 

$key = q/displaystylerholangleRrangle_0frac{rho_glangleRrangle_0}{rholangleRrangle_0}T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|564#564|; 

$key = q/displaystyleH_c(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|397#397|; 

$key = q/displaystyleDeqlab{def_qa};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|125#125|; 

$key = q/{displaymath}V_{term}=C_{sc}frac{2r_d^2grho_I}{9eta}Deqlab{CloudJ}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|221#221|; 

$key = q/displaystyleDP{}{t}intleft{overline{rho}left[K-frac{theta_v^{prime}}{overline{th}Pi^{prime}}{overline{langlec_srangle}}right)^2right]right}dV;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|775#775|; 

$key = q/displaystyle-DP{}{x_{j}}overline{(u_{i}^{prime}u_{j}^{prime})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|245#245|; 

$key = q/c_{pd};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|67#67|; 

$key = q/displaystyle-K_{h}left(1+sumfrac{L^2overline{q_v}}{langlec_prangle_0R_voverline{line{Pi}^2}right)^{-1}DP{theta_e}{x_j}Deqlab{レイノルズ応力5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|816#816|; 

$key = q/displaystyleV_{term};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1024#1024|; 

$key = q/displaystyleDP{(overline{rho}K)}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|718#718|; 

$key = q/displaystylep_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|288#288|; 

$key = q/displaystylehat{c_p}DD{T}{t}-Dinv{rho}DD{p}{t}=hat{c_p}left(Q_{cond}+Q_{rad}+Q_{dis}right)Deqlab{theta1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|285#285|; 

$key = q/displaystyleTleft(DP{S_i}{p}right)_Tdp+v_iDeqlab{thermodyn7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|384#384|; 

$key = q/Lambda_{1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|851#851|; 

$key = q/displaystylemu_c(p^{*},T)+int_{p^{*}}^{p}v_c(p^{prime},T)dp^{prime},Deqlab{thermodyn15};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|409#409|; 

$key = q/l_5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|936#936|; 

$key = q/{displaymath}lambda=frac{k_BT}{sqrt{2}pisigma^2p_{CO_2}}Deqlab{CloudL}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|225#225|; 

$key = q/displaystylefrac{Lp^{*}}{R_vT^2}Deqlab{Cl-Cl12};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|366#366|; 

$key = q/displaystyle+Dinv{overline{rho}}M_{src}(rho_c^{prime})+D_{q_c^{prime}},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|712#712|; 

$key = q/D_{rho_v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|505#505|; 

$key = q/displaystyle-q_v^{prime}gznablacdotleft[frac{overline{rho}Dvect{u}}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|754#754|; 

$key = q/displaystyleDP{}{x_{k}}left[u_{k}overline{theta^{prime}u^{prime}_{j}}+overline{ue}}+varepsilon_{jkl}f_{k}overline{u^{prime}_{l}theta^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|831#831|; 

$key = q/{displaymath}theta_vequivfrac{T_v}{Pi}=left(frac{langleMrangle_0}{M_d}q_d+sumfrac{langleMrangle_0}{M_v}q_vright)thetaDeqlab{Tfd}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|570#570|; 

$key = q/displaystyleoverline{langlec_srangle^2}(z)+{langlec_srangle^2}^{prime}(x,y,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|42#42|; 

$key = q/displaystylefrac{rho_r}{rho}.Deqlab{qs};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|26#26|; 

$key = q/x;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|4#4|; 

$key = q/displaystyle-left[u^{'}DP{v^{'}}{x}+v^{'}DP{v^{'}}{y}+w^{'}DP{v^{'}}{z}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|654#654|; 

$key = q/displaystylerho_r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1012#1012|; 

$key = q/displaystyleB+S+D_{E}-left(frac{C_{varepsilon}}{l}right)E_{turb}^{frac{3}{2}}Deqlab{B:dEdt};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|796#796|; 

$key = q/overline{p};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1068#1068|; 

$key = q/displaystyle1.4389left(frac{rho_wgD}{rho}right)^{1slash2}Deqlab{マーシャル・パルマー型分布関数2}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|992#992|; 

$key = q/displaystyle-ql_{4}DP{q_L}{x_{j}}Deqlab{MY1974:Level1(4)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|892#892|; 

$key = q/{displaymath}hat{c_p}=q_dc_{pd}+sumq_vc_{pv}+sumq_cc_{pc}Deqlab{netu7}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|496#496|; 

$key = q/displaystyleoverline{u_j^{prime}theta^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|930#930|; 

$key = q/(alpha+nu)overline{DP{u^{prime}_{j}}{x_{k}}DP{theta^{prime}}{x_{k}}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|852#852|; 

$key = q/displaystyleL(T_0)+left(c_{pv}-c_{pc}right)(T-T_0);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|433#433|; 

$key = q/displaystylerholangleRrangle_0T_vDeqlab{TfA};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|567#567|; 

$key = q/displaystyleleft{K_{m}left(DP{u}{x_{j}}+DP{u_{j}}{x}right)-frac{2}{3}delta_{1j}E_{turb}right}DP{u}{x_{j}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|951#951|; 

$key = q/CN_{cr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|135#135|; 

$key = q/displaystyle0.3224g^{1slash2}left(frac{rho_w}{rho}right)^{0.375}q_r^{0.125}Deqlab{TermVel8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1026#1026|; 

$key = q/displaystyleH_i(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|386#386|; 

$key = q/displaystylec_{pi}(p_0,T)+int_{p_0}^{p}left(DP{c_{pi}}{p^{prime}}right)_Tdp^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|370#370|; 

$key = q/displaystylehat{c_p}Q_{cond};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|544#544|; 

$key = q/displaystylerholangleRrangle_0Pitheta_vDeqlab{Tff};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|571#571|; 

$key = q/N_{0},lambda;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|993#993|; 

$key = q/displaystyle+2C_mlE_{turb}^{1slash2}left{left(DP{u}{x}right)^{2}+left(DP{v}{y}right)^{2}+left(DP{w}{z}right)^{2}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|260#260|; 

$key = q/{displaymath}mbox{dcstaff@gfd-dennou.org}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1081#1081|; 

$key = q/displaystyleoverline{Pi}(z)+Pi^{prime}(x,y,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|40#40|; 

$key = q/displaystyleU_v(p,T)+H_c(p,T)-H_v(p,T)-p(v_c-v_v);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|461#461|; 

$key = q/k_T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|523#523|; 

$key = q/displaystylerholangleRrangle_0frac{rho_dR_d+sumrho_vR_v}{rholangleRrangle_0}T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|565#565|; 

$key = q/displaystyle0-K_{h}DP{q_L}{x_j}Deqlab{レイノルズ応力4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|814#814|; 

$key = q/displaystyle-frac{rho_r}{rho^2}DP{rho}{t}+Dinv{rho}DP{rho_r}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|320#320|; 

$key = q/displaystylefrac{L_s^2}{kR_vT^2}=frac{L_s^2}{kR_vtheta^2Pi^2},Deqlab{CloudC};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|199#199|; 

$key = q/displaystyleDP{rho_c}{t}+DP{}{x_j}(rho_cu_j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|294#294|; 

$key = q/displaystylerhoDD{H}{t}+frac{p}{rho}DD{rho}{t}-DD{p}{t}+nablacdotDvect{F}^{rad}+nablacdotDvect{F}^{therm}+pDP{u_i}{x_i}-varepsilon;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|485#485|; 

$key = q/j;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|841#841|; 

$key = q/displaystyleH_i(p_0,T_0)+int_{T_0}^{T}c_{pi}(p_0,T^{prime})dT^{prime}-T^2int_{p_t[frac{v_i(p^{prime},T)}{T}right]_{p^{prime}}right}dp^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|391#391|; 

$key = q/displaystyle-Dinv{rho}nablacdotDvect{F}^{rad},Deqlab{netu13};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|541#541|; 

$key = q/D+dD;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|984#984|; 

$key = q/displaystylemu_c(p,T)-mu_v(p,T)+Tleft[S_c(p,T)-S_v(p,T)right]Deqlab{thermodyn12};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|402#402|; 

$key = q/displaystylefrac{Q_{cond}+Q_{rad}+Q_{dis}}{Pi}Deqlab{theta6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|585#585|; 

$key = q/displaystyleDeqlab{quasi-equations:u-w-pi-theta:w};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|787#787|; 

$key = q/displaystyle{q_r}^{prime}(x,z,t).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|647#647|; 

$key = q/displaystyleDP{u^{prime}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|107#107|; 

$key = q/displaystyle-int_{p^{*}}^{p}v_v(p^{prime},T)dp^{prime}+int_{p^{*}}^{p}v_v(p^{prime},T)dp^{prime}-L(T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|421#421|; 

$key = q/displaystylemu_v(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|410#410|; 

$key = q/{displaymath}p_{ast}=expleft(A-frac{B}{T-C}right)Deqlab{CloudG}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|209#209|; 

$key = q/displaystyle10.344g^{1slash2}left(frac{rho}{rho_w}right)^{0.375}q_{c}q_r^{0.875};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1008#1008|; 

$key = q/Dvect{i}_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|475#475|; 

$key = q/PR_{r};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|137#137|; 

$key = q/displaystyleDP{}{t}left{overline{rho}left[K-frac{theta_v^{prime}}{overline{thetaglec_prangle_0overline{theta_v}Pi^{prime}right)Dvect{u}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|767#767|; 

$key = q/displaystyle-langlec_prangle_0left(bar{theta_{v}}DP{bar{Pi}}{z}+bar{theta_{v}}DP{Pi^{'}}{z}+{theta_{v}}^{'}DP{bar{Pi}}{z}right)-g+D_{w^{'}}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|665#665|; 

$key = q/C_{varepsilon},C_{m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|823#823|; 

$key = q/{displaymath}C_{sc}=1+1.255frac{lambda}{r_d}Deqlab{CloudK}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|223#223|; 

$key = q/displaystylefrac{q_dc_{pd}+sumq_vc_{pv}}{q_d+sumq_v}Deqlab{cp-def};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|573#573|; 

$key = q/CN_{vr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|177#177|; 

$key = q/displaystylefrac{rho_v}{rho},Deqlab{qv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|22#22|; 

$key = q/overline{rho}u^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|715#715|; 

$key = q/displaystyleDP{}{t}left(frac{rho_d}{rho}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|305#305|; 

$key = q/displaystyle-frac{overline{q_v^{*}}}{overline{p}}Deqlab{moistturb3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|915#915|; 

$key = q/displaystyleoverline{q_d}+sumoverline{q_v}=1Deqlab{basic5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|96#96|; 

$key = q/F_D;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|971#971|; 

$key = q/w;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|648#648|; 

$key = q/displaystyleleft(frac{langleMrangle_0}{M_d}overline{q_d}+sumfrac{langleMrangle_0sumfrac{langleMrangle_0}{M_v}q_v^{prime}right)overline{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|674#674|; 

$key = q/displaystyleEV_{rv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1051#1051|; 

$key = q/displaystyleD_{rho_v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|509#509|; 

$key = q/displaystyle-frac{q_r}{rho}sumM_{fall}(rho_r)+Dinv{rho}M_{fall}(rho_r)+Dinv{rho}M_{src}(rho_r)+Dinv{rho}D_{rho_r}.Deqlab{sphm9};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|332#332|; 

$key = q/displaystyle-int_{p^{*}}^{p}v_v(p^{prime},T)dp^{prime}+TDP{}{T}left[int_{p^{*}}^{p}v_v(p^{prime},T)dp^{prime}right]_p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|419#419|; 

$key = q/rho_w;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|174#174|; 

$key = q/r=r_{d};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1038#1038|; 

$key = q/{displaymath}langlec_prangle_0DD{T}{t}-Dinv{rho_g}DD{p}{t}approxlanglec_prangle_eft(Q_{cond}+Q_{rad}+Q_{dis}right)Deqlab{theta3}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|581#581|; 

$key = q/z;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|6#6|; 

$key = q/displaystyle+Dinv{bar{Pi}+Pi^{'}}(Q_{cond}+Q_{rad}+Q_{dis})+D_{bar{theta}}+D_{theta^{'}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|705#705|; 

$key = q/displaystyleM_{src}(rho_v^{prime});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|138#138|; 

$key = q/N;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|191#191|; 

$key = q/q_c=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|176#176|; 

$key = q/displaystyleDP{q_a^{prime}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|122#122|; 

$key = q/displaystyleleft(rho_dR_d+sumrho_vR_vright)T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|551#551|; 

$key = q/{displaymath}=0{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|853#853|; 

$key = q/q_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|9#9|; 

$key = q/H_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|474#474|; 

$key = q/displaystylehat{c_p}Q_{dis};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|542#542|; 

$key = q/displaystyle-u^{'}DP{w^{'}}{x}-v^{'}DP{w^{'}}{y}-w^{'}DP{w^{'}}{z}-langlec_prang^{'}}{z}+frac{{theta_{v}}^{'}}{bar{theta_{v}}}g+D_{w^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|668#668|; 

$key = q/displaystylefrac{overline{rho}}{overline{theta}}DD{}{t}(theta^{prime}gz)+frac{ovrline{Pi}}left(Q_{cond}+Q_{rad}+Q_{dis}right)-D_{theta}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|746#746|; 

$key = q/displaystyle-left(u^{'}DP{theta^{'}}{x}+v^{'}DP{theta^{'}}{y}+w^{'}DP{theta^{'}}{z}right)-w^{'}DP{bar{theta}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|707#707|; 

$key = q/L;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|360#360|; 

$key = q/displaystyleDD{q_r}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|331#331|; 

$key = q/displaystyle-CN_{vr}+D_{overline{q_v}}+D_{q_v^{prime}},Deqlab{def_qv3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|183#183|; 

$key = q/displaystyleDeqlab{pressEQ2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|697#697|; 

$key = q/Q_{dis};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|128#128|; 

$key = q/{displaymath}Q_{dis}=frac{1}{langlec_{p}rangle_0}frac{C_{varepsilon}}{l}frac{K_{m}^{3}}{(C_{m}l)^{3}}.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|271#271|; 

$key = q/c_{pc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|423#423|; 

$key = q/displaystyleTleft[-frac{S_c}{T}+Dinv{T}left(DP{H_c}{T}right)_p+Dinv{T}left(DP{mu_c}{T}right)_pright];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|427#427|; 

$key = q/displaystyleM_{fall}(rho_c^{prime});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|146#146|; 

$key = q/l_4;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|894#894|; 

$key = q/displaystyleDD{q_r}{t}=-frac{q_r}{rho}sumM_{fall}(rho_r)+Dinv{rho}M_{fall}(rho_r_{src}(rho_r)+D_{q_r}Deqlab{equations:u-w-pi-theta:qr};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|627#627|; 

$key = q/TggC;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|217#217|; 

$key = q/displaystyle{q_c}^{prime}(x,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|645#645|; 

$key = q/displaystyle0Deqlab{DiffFlux3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|512#512|; 

$key = q/theta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1#1|; 

$key = q/{displaymath}U=H-frac{p}{rho}Deqlab{netu2}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|483#483|; 

$key = q/D_{ast};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|131#131|; 

$key = q/displaystyle-3gC_mlE_{turb}^{1slash2}frac{K_h}{overline{theta}}DP{theta}{z}-3gC_P{q_L}{z}}{1+sumfrac{R_v}{R_d}overline{q_v}-sumoverline{q_L}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|259#259|; 

$key = q/{displaymath}T_vequivleft(frac{langleMrangle_0}{M_d}q_d+sumfrac{langleMrangle_0}{M_v}q_vright)TDeqlab{Tfb}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|561#561|; 

$key = q/L_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|161#161|; 

$key = q/displaystyle-rhoD_vnablaq_vDeqlab{netu11-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|527#527|; 

$key = q/displaystyleM_{src}(rho_c^{prime});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|140#140|; 

$key = q/eta_{ref}=1.47times10^{-5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|238#238|; 

$key = q/displaystyle+sum(D_{q_v}+D_{q_c}+D_{q_r})-sumR_vD_{q_v}slashR_dBigg]dV;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|782#782|; 

$key = q/langlec_prangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|77#77|; 

$key = q/displaystyleq_dc_{pd}T+sumq_vleft(c_{pv}T+L_{00}right)+sumq_cc_{pc}TDeqlab{netu4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|491#491|; 

$key = q/displaystylerhoDD{H}{t}-DD{p}{t}+nablacdotDvect{F}^{rad}+nablacdotDvect{F}^{therm}-varepsilon;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|487#487|; 

$key = q/{bf{{162};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|277#277|; 

$key = q/displaystyleoverline{u^{prime}_{j}q_L^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|891#891|; 

$key = q/displaystyle0Deqlab{netu10};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|519#519|; 

$key = q/displaystylep_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|286#286|; 

$key = q/displaystylec_{pd}T-R_dT;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|454#454|; 

$key = q/displaystyleleft(DP{H_c}{T}right)_p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|428#428|; 

$key = q/displaystylefrac{L}{Tv_v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|365#365|; 

$key = q/displaystyleDeqlab{AAF-3A};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|766#766|; 

$key = q/rho_{0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1074#1074|; 

$key = q/{displaymath}overline{(u_{i}^{prime}u_{j}^{prime})}=-K_{m}left(DP{u_{i}}{x_{j}}+{2}{3}delta_{ij}E_{turb},Deqlab{レイノルズ応力1}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|808#808|; 

$key = q/displaystylerho_g;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|555#555|; 

$key = q/displaystyleleft(frac{p}{p_0}right)^{langleRrangle_0slashlanglec_prangle_0}Deqlab{エクスナー関数の定義};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|54#54|; 

$key = q/displaystyleDP{}{t}left[frac{q_c^{prime}overline{rho}gz}{1+sumleft(frac{R_v}{R_dvect{u}}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|758#758|; 

$key = q/overline{u^{prime}_{k}u^{prime}_{i}u^{prime}_{j}},overline{u^{prime}_{k}u^{prime_{j}theta^{prime}},overline{u^{prime}_{k}(theta^{prime})^{2}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|854#854|; 

$key = q/theta^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|103#103|; 

$key = q/l=(DeltaxDeltayDeltaz)^{1slash3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|273#273|; 

$key = q/displaystyle-u^{'}DP{theta^{'}}{x}-v^{'}DP{theta^{'}}{y}-w^{'}DP{theta^{'}}{z}-w^{'}DP{bar{theta}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|789#789|; 

$key = q/displaystyle+2K_{m}left{left(DP{u}{x}right)^{2}+left(DP{v}{y}right)^{2}+left(DP{w}{z}right)^{2}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|963#963|; 

$key = q/ql_5=ql_6=K_h;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|938#938|; 

$key = q/{displaymath}CN_{vr}=frac{4pir_dN}{R_h}(S-1).Deqlab{CloudF}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|208#208|; 

$key = q/displaystyleDP{q_v^{prime}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|153#153|; 

$key = q/displaystylefrac{1.4389times105pi^{3slash8}}{96}rho_w^{3slash8}g^{1slash2}rho^{-1slash2}N_0^{-1slash8}rho_r^{9slash8}Deqlab{TermVel7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1023#1023|; 

$key = q/displaystyle+intleft[-sum(q_v^{prime}+q_c^{prime}+q_r^{prime})+sum(R_vslashR_d)qct{u}}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}right]dV;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|779#779|; 

$key = q/displaystyle+DP{}{z}left(C_mlE_{turb}^{1slash2}DP{E_{turb}}{z}right)-left(frac{Cilon}}{l}right)E_{turb}^{frac{3}{2}}.Deqlab{kiso:TurbE-moist};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|268#268|; 

$key = q/displaystyle-L(T)Deqlab{thermodyn18};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|422#422|; 

$key = q/displaystyleDD{q_{c}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|329#329|; 

$key = q/displaystyleDP{q_c^{prime}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|156#156|; 

$key = q/displaystyleleft(frac{p_{0}}{p}right)^{frac{langleRrangle_0}{langlec_{p}rangle}}}{p}right)^{frac{langleRrangle_0}{langlec_{p}rangle}}DD{p}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|583#583|; 

$key = q/displaystyleL;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|361#361|; 

$key = q/displaystylec_{pi}(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|369#369|; 

$key = q/{displaymath}rho_{v}=-frac{C_{1}}{r}+C_{2}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1037#1037|; 

$key = q/q_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|887#887|; 

$key = q/c_{vd};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|69#69|; 

$key = q/overline{q_d}+overline{q_v}=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|693#693|; 

$key = q/{displaymath}frac{T^{prime}}{overline{T}}simeqfrac{theta^{prime}}{overline{theta0}frac{p^{prime}}{overline{p}}Deqlab{moistturb5}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|919#919|; 

$key = q/displaystyleDP{v^{prime}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|109#109|; 

$key = q/S_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|336#336|; 

$key = q/displaystyle-DP{}{x_{j}}left(K_{h}DP{theta}{x_{j}}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|253#253|; 

$key = q/displaystylefrac{langlec_srangle^2}{langlec_prangle_0theta_v}Bigg[-DP{u_j}{x_j}+Dinv{rho}sumM_{fall}(rho_r)+Dinv{theta}DD{theta}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|608#608|; 

$key = q/displaystylerho=frac{p}{langleRrangle_0Pitheta_v}=frac{p_0Pi^{langlec_{v}rangle_shlangleRrangle_0}}{langleRrangle_0theta_v}Deqlab{密度の定義};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|79#79|; 

$key = q/displaystylefrac{q_{d0}+sumq_{v0}}{q_{d0}slashM_d+sumq_{v0}slashM_v}Deqlab{def_M};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|83#83|; 

$key = q/displaystyleDD{q_{v}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|327#327|; 

$key = q/displaystyle-frac{q_{v}}{rho}sumM_{fall}(rho_r)+Dinv{rho}M_{src}(rho_v)+Dinv{rho}D_{rho_v},Deqlab{sphm7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|328#328|; 

$key = q/{displaymath}CN_{vr}=frac{4pir_dN}{overline{rho}(R_h+R_m)}(S-1).Deqlab{CloudB}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|194#194|; 

$key = q/displaystylemu_v(p^{*}+dp^{*},T+dT)-mu_v(p^{*},T)Deqlab{Cl-Cl3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|345#345|; 

$key = q/displaystylew(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|634#634|; 

$key = q/displaystyletheta_v^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|673#673|; 

$key = q/overline{rho}w^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|717#717|; 

$key = q/rho_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|13#13|; 

$key = q/displaystyle-gfrac{K_h}{overline{theta}}DP{theta}{z}-gK_hfrac{sumfrac{R_v}{R_d}DP{q_L}{z}}{1+sumfrac{R_v}{R_d}overline{q_v}-sumoverline{q_L}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|962#962|; 

$key = q/displaystyleleft(frac{langleMrangle_0}{M_d}bar{q_d}+sumfrac{langleMrangle_0}{M_v}bar{q_v}right)bar{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|671#671|; 

$key = q/displaystyleDeqlab{sphm5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|324#324|; 

$key = q/displaystyleR_h;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|198#198|; 

$key = q/displaystylelanglec_{p}rangletheta_vDP{Pi}{x_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|614#614|; 

$key = q/q_{c};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|10#10|; 

$key = q/displaystylePiequivleft(frac{p}{p_0}right)^{langleRrangle_0slashlanglec_prangle_0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|628#628|; 

$key = q/displaystyle-left[u^{'}DP{u^{'}}{x}+v^{'}DP{u^{'}}{y}+w^{'}DP{u^{'}}{z}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|651#651|; 

$key = q/displaystyle-u^{prime}DP{q_r^{prime}}{x}-v^{prime}DP{q_r^{prime}}{y}-w^{prime}DP{q_r^{prime}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|713#713|; 

$key = q/{displaymath}frac{4}{3}rho_Ipi(r_d^3-r_{aero}^3)N=q_r^{prime}overline{rho}Deqlab{CloudA}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|187#187|; 

$key = q/displaystyle+intlanglec_prangle_0overline{rho}overline{theta_v}Pi^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|777#777|; 

$key = q/mu_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|338#338|; 

$key = q/displaystylefrac{Loverline{q_v}^{*}}{R_voverline{Pi}overline{theta}^2}theta^{priac{overline{q_v^{*}}}{overline{p}}p^{prime}Deqlab{moistturb6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|921#921|; 

$key = q/displaystyleleft(frac{overline{p}}{p_0}right)^{langleRrangle_0slashlanglec_prangle_0},Deqlab{basic3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|91#91|; 

$key = q/{displaymath}overline{rho}DD{phi}{t}=DP{}{t}left(overline{rho}phiright)+nablacdoe}right)-phisumM_{src}(rho_v^{prime})Deqlab{AAE}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|742#742|; 

$key = q/displaystyle-theta^{prime}gznablacdotleft[frac{overline{rho}Dvect{u}}{overline{theta}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|770#770|; 

$key = q/displaystyleDP{rho_d}{t}+DP{}{x_j}(rho_du_j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|290#290|; 

$key = q/T_{ref};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|236#236|; 

$key = q/displaystylefrac{theta}{langlec_prangle_0T}left(langlec_prangle_0DD{T}{t}-Dinv{rho_g}DD{p}{t}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|584#584|; 

$key = q/displaystylefrac{langleRrangle_0Pitheta_v}{p}left(frac{p_{0}{c_{p}}_{d}}{R_{d}}Pi^{langlec_{p}rangleslashlangleRrangle_0-1}right)DP{Pi}{x_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|612#612|; 

$key = q/displaystyleDP{(bar{theta}+theta^{'})}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|703#703|; 

$key = q/displaystylep_d+sump_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|550#550|; 

$key = q/displaystyle+left{K_{m}left(DP{w}{x_{j}}+DP{u_{j}}{z}right)-frac{2}{3}delta_{3j}E_{turb}right}DP{w}{x_{j}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|953#953|; 

$key = q/mu_c(p^{*}+dp^{*},T+dT);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|347#347|; 

$key = q/displaystyle-Dinv{rho}sumleft[L_{00}+left(c_{pv}-c_{pc}right)Tright]M_{src}(rho_v);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|531#531|; 

$key = q/Pi^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|104#104|; 

$key = q/displaystyleH_d(p_0,T_0)+c_{pd}(T-T_0);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|439#439|; 

$key = q/langleRrangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|76#76|; 

$key = q/{displaymath}CL_{cr}=Dinv{rho}int_{0}^{infty}left(DD{m}{t}right)_{cr}N_{D}DdDDeqlab{衝突併合による雨水混合比の変化率}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|986#986|; 

$key = q/displaystyle{q_r}^{prime}(x,y,z,t).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|50#50|; 

$key = q/{displaymath}C_{1}=(rho_{v,infty}-rho_{v,s})r_{d},quadC_{2}=rho_{v,infty}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1042#1042|; 

$key = q/displaystyle-frac{L_s}{overline{rho}langlec_prangle_0}M_{src}(rho_v^{prime}).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|180#180|; 

$key = q/displaystylefrac{L}{T(v_v-v_c)}Deqlab{Cl-Cl11};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|363#363|; 

$key = q/displaystylefrac{theta^{prime}}{overline{theta}}overline{rho}w^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|743#743|; 

$key = q/A;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|210#210|; 

$key = q/displaystylefrac{langleRrangle_0}{R_voverline{p}}left(DP{p_v^{*}}{T}right)_{(overline{T},overline{p})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|910#910|; 

$key = q/displaystylefrac{2}{3}delta_{ij}E_{turb}-K_{m}left(DP{u_{i}}{x_{j}}+DP{u_{j}}{x_{i}}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|896#896|; 

$key = q/displaystyle+Dinv{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|117#117|; 

$key = q/q_a^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|105#105|; 

$key = q/displaystyleleft(DP{H_i}{p}right)_T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|383#383|; 

$key = q/displaystyleq_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|21#21|; 

$key = q/f_{k}(varepsilon_{jkl}overline{u_{l}^{prime}u^{prime}_{i}}+varepsilon_{ikl}overl}),;f_{k}varepsilon_{jkl}overline{u_{l}^{prime}theta^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|859#859|; 

$key = q/displaystyleoverline{rho}=frac{overline{p}}{langleRrangle_0overline{Pi}overline{leRrangle_0}}{langleRrangle_0overline{theta_v}}Deqlab{basic1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|87#87|; 

$key = q/displaystyleH_i(p_0,T_0)+int_{T_0}^{T}c_{pi}(p_0,T^{prime})dT^{prime}Deqlab{thermodyn9};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|394#394|; 

$key = q/C_{m}=0.2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|250#250|; 

$key = q/displaystylev_i,Deqlab{Cl-Cl8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|356#356|; 

$key = q/displaystyleDD{u}{t}=-langlec_prangle_0theta_vDP{Pi}{x}+D_uDeqlab{equations:u-w-pi-theta:u};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|618#618|; 

$key = q/displaystyleint_0^{infty}N_DmdD,Deqlab{TermVel2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1013#1013|; 

$key = q/displaystyle-2.24times10^{-2}(q_{v,s}-q_{v,infty})N_{0}frac{Gamma(2.6)}{lambda^{13slash5}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1054#1054|; 

$key = q/displaystyleoverline{u_j^{prime}{q_v^{*}}^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|922#922|; 

$key = q/bar{c_s};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1063#1063|; 

$key = q/displaystyleleft(1+sumfrac{L^2overline{q_v}^{*}}{langlec_prangle_0R_voverline{Pi)^{-1}overline{u_j^{prime}theta_e^{prime}}Deqlab{moistturb10};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|931#931|; 

$key = q/displaystyleF(r_{d});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1043#1043|; 

$key = q/displaystyletheta^{prime}+sumfrac{L}{langlec_prangle_0overline{Pi}}{q_v^{*}}^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|927#927|; 

$key = q/M_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|85#85|; 

$key = q/l_6;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|937#937|; 

$key = q/displaystyle+Dinv{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}Bigg{-sum(D_{q_v+sumfrac{R_v}{R_d}left[M_{src}(q_v)+D_{q_v}right]Bigg}Bigg]dV;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|778#778|; 

$key = q/displaystylelangleRrangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|553#553|; 

$key = q/displaystylep=rho_glangleRrangleTDeqlab{theta7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|557#557|; 

$key = q/displaystyle+Dinv{bar{Pi}}left(Q_{rad}+Q_{dis}right)+D_{bar{theta}}+D_{theta^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|152#152|; 

$key = q/M_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|84#84|; 

$key = q/displaystylehat{c_p}Q_{rad};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|540#540|; 

$key = q/H_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|334#334|; 

$key = q/A=27.4;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|213#213|; 

$key = q/displaystyleleft(DP{mu_i}{T}right)_p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|353#353|; 

$key = q/displaystyle-langlec_prangle_0overline{theta_v}DP{Pi^{prime}}{x}+D_{u}Deqlab{quasi-equations:u-w-pi-theta:u};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|784#784|; 

$key = q/displaystyle+DP{}{z}left(C_mlE_{turb}^{1slash2}DP{E_{turb}}{z}right)-left(frac{C_{varepsilon}}{l}right)E_{turb}^{frac{3}{2}}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|967#967|; 

$key = q/{displaymath}left(DD{m}{t}right)_{ev}=-4pir_{d}K_{d}(rho_{v,s}-rho_{v,infty}){displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1046#1046|; 

$key = q/displaystyleoverline{(u_{i}^{prime}q_L)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|813#813|; 

$key = q/{displaymath}langlec_srangle^2=frac{langlec_prangle_0langleRrangle_0Pitheta_v}{langlec_vrangle_0}Deqlab{SoundVel}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|604#604|; 

$key = q/cdot;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|239#239|; 

$key = q/D_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|522#522|; 

$key = q/q_vrightarrow1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|526#526|; 

$key = q/displaystyleTdS_i+v_idp+mu_idq_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|378#378|; 

$key = q/displaystyle+Dinv{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}Bigg{-sum(D_{q_v})+sumfrac{R_v}{R_d}left[M_{src}(q_v)+D_{q_v}right]Bigg}Bigg];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|692#692|; 

$key = q/displaystyle-left[u^{'}DP{w^{'}}{x}+v^{'}DP{w^{'}}{y}+w^{'}DP{w^{'}}{z}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|661#661|; 

$key = q/displaystyle+Dinv{overline{q_d}+M_dsumoverline{q_v}slashM_v}Bigg{D_{q_d}+M_dsumDinv{M_v}left[M_{src}(q_v)+D_{q_v}right]Bigg}Bigg];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|691#691|; 

$key = q/q_v^{*}(T,p);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|904#904|; 

$key = q/q_dc_{pv}ggq_cc_{pc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|577#577|; 

$key = q/displaystylefrac{overline{u_j^{prime}theta^{prime}}}{overline{theta}}+frac{sumfr^{prime}}}{1+sumfrac{R_v}{R_d}overline{q_v}-sumoverline{q_L}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|898#898|; 

$key = q/{displaymath}EV_{rv}=4.85times10^{-2}(q_{v,s}-q_{v,infty})(rho_{d}q_{r})^{0.65}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1059#1059|; 

$key = q/displaystylerho_dR_dT,Deqlab{equations:eqsdry};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|287#287|; 

$key = q/displaystyleTleft(DP{S_c}{T}right)_p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|425#425|; 

$key = q/displaystyleH_v(p_0,T_0)-L(T_0)+c_{pc}(T-T_0);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|444#444|; 

$key = q/displaystylefrac{Loverline{q_v}^{*}}{R_voverline{Pi}overline{theta}^2}overline{u{overline{p}}overline{u_j^{prime}p^{prime}}Deqlab{moistturb7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|923#923|; 

$key = q/F;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1029#1029|; 

$key = q/displaystylePi(x,y,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|39#39|; 

$key = q/displaystyle+c_{pd}TDD{q_d}{t}+sumleft(c_{pv}T+L_{00}right)DD{q_v}{t}+sumc_{pc}TDD{q_c}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|494#494|; 

$key = q/displaystylem=frac{pi}{6}D^3rho_wDeqlab{TermVel4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1017#1017|; 

$key = q/C_{sc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|222#222|; 

$key = q/displaystyleDvect{F}^{therm};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|469#469|; 

$key = q/displaystyle-u^{prime}DP{q_r^{prime}}{x}-v^{prime}DP{q_r^{prime}}{y}-w^{prime}DP^{prime}}{z}+Dinv{overline{rho}}PR_r-CN_{vr}+D_{q_r^{prime}}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|184#184|; 

$key = q/displaystylelanglec_prangle_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|61#61|; 

$key = q/displaystyleDP{}{x}left(K_{m}DP{E_{turb}}{x}right)+DP{}{y}left(K_{m}DP{E_{turb}}{y}right)+DP{}{z}left(K_{m}DP{E_{turb}}{z}right)Deqlab{De};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|961#961|; 

$key = q/displaystyle-u^{prime}DP{w^{prime}}{x}-v^{prime}DP{w^{prime}}{y}-w^{prime}DP{w^{prime}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|678#678|; 

$key = q/displaystyleu(x,y,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|31#31|; 

$key = q/displaystyleDP{}{t}left(frac{rho_v}{rho}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|309#309|; 

$key = q/langlec_srangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|51#51|; 

$key = q/q_{v},q_{r},q_{c};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|301#301|; 

$key = q/{displaymath}langlec_prangleDD{T}{t}-Dinv{rho}DD{p}{t}approxlanglec_prangleleft(Q_{cond}+Q_{rad}+Q_{dis}right)Deqlab{theta2}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|579#579|; 

$key = q/displaystyle{q_v^{*}}^{prime}(T,p);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|917#917|; 

$key = q/displaystyleB;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|799#799|; 

$key = q/displaystyleV_D=left(frac{4rho_wgD}{3C_Drho}right)^{1slash2}Deqlab{shuutan3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|975#975|; 

$key = q/displaystyleoverline{rho}CN_{vr},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|179#179|; 

$key = q/displaystyle-langlec_prangle_0overline{rho}overline{theta_v}Dvect{u}cdotnablaPi^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|730#730|; 

$key = q/displaystyle-K_{h}DP{q_L}{x_j}Deqlab{レイノルズ応力7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|818#818|; 

$key = q/displaystyleL(T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|432#432|; 

$key = q/T_{ref}=293;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|240#240|; 

$key = q/displaystylemu_v(p^{*},T)+left(DP{mu_v}{p^{*}}right)_Tdp^{*}+left(DP{mu_v}{T}right)_{p^{*}}dTDeqlab{Cl-Cl5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|351#351|; 

$key = q/f;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1066#1066|; 

$key = q/displaystyle+frac{theta^{prime}gz}{overline{theta}}left[DP{}{t}left(rho_d^{prime}+rho_v^{prime}right)-sumM_{src}(rho_v^{prime})right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|750#750|; 

$key = q/displaystyle-ql_{5}DP{theta_e}{x_{j}},Deqlab{moistturb12};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|934#934|; 

$key = q/displaystyleq_{c};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|23#23|; 

$key = q/displaystyle+gzleft[w^{prime}DP{overline{q_v}}{z}+frac{overline{q_v}}{overline{rM_{fall}(rho_r)-Dinv{overline{rho}}M_{src}(q_v)-D_{q_v}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|755#755|; 

$key = q/displaystyletheta_e^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|926#926|; 

$key = q/displaystyle+Dinv{q_dlangleMrangle_0slashM_d+sumq_vlangleMrangle_0slashM_v}Bigg{e_0}{M_d}left(-frac{q_d}{rho}sumM_{fall}(rho_r)+D_{q_d}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|681#681|; 

$key = q/displaystyleoverline{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|92#92|; 

$key = q/rho_r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|15#15|; 

$key = q/displaystyle+intfrac{overline{rho}gz}{overline{theta}}left[w^{prime}DP{theta}{z}ta}right]dVDeqlab{quasi-equations:u-w-pi-theta:energy};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|794#794|; 

$key = q/displaystyleM_{src}(rho_v)+D_{rho_v},Deqlab{renzoku2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|293#293|; 

$key = q/displaystyleleft(DP{mu_i}{p}right)_T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|355#355|; 

$key = q/displaystyle+frac{overline{rho}gz}{overline{theta}}left[w^{prime}DP{theta}{z}-Dieft(Q_{cond}+Q_{rad}+Q_{dis}right)-D_{theta}right]Deqlab{AAG};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|774#774|; 

$key = q/displaystyle+sumfrac{R_v}{R_d}left[M_{src}(q_v)+D_{q_v}right]Bigg}Bigg]Deqlab{AAD};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|740#740|; 

$key = q/q^{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|886#886|; 

$key = q/displaystylefrac{pirho_wN_0}{lambda^4}Deqlab{TermVel5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1019#1019|; 

$key = q/textstylesimeq;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|349#349|; 

$key = q/displaystyle+Dinv{rho}c_{pd}TnablacdotDvect{i}_d-Dinv{rho}sumleft(c_{pv}T+L_{00}right)left[M_{src}(rho_v)-nablacdotDvect{i}_vright];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|516#516|; 

$key = q/displaystylerho_d+sumrho_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|556#556|; 

$key = q/displaystyleL_{00}+left(c_{pv}-c_{pc}right)TDeqlab{thermodyn20};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|434#434|; 

$key = q/displaystyleoverline{u^{prime}_{j}q_v^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|889#889|; 

$key = q/{displaymath}left(DD{m}{t}right)_{ev}=-4pir_{d}left(1+frac{Fr}{s}right)K_{d}(rhorho_{v,infty})Deqlab{蒸発による雨粒の成長方程式}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1047#1047|; 

$key = q/displaystylec_{pi}(p_0,T)Deqlab{thermodyn4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|376#376|; 

$key = q/displaystyleDinv{2}etaleft(DP{u_i}{x_j}+DP{u_j}{x_i}-frac{2}{3}delta_{ij}nablacd{u}right)^2+zetaleft(nablacdotDvect{u}right)^2Deqlab{netu1-B};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|473#473|; 

$key = q/kappa;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|477#477|; 

$key = q/displaystyle-frac{overline{q_v}}{overline{rho}}sumM_{fall}(rho_r^{prime})+Dinv{oho}}M_{src}(rho_v^{prime})+D_{overline{q_v}}+D_{q_v^{prime}},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|710#710|; 

$key = q/displaystyle+Dinv{rho}left[-DP{}{x_j}(rho_vu_j)+M_{src}(rho_v)+D_{rho_v}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|312#312|; 

$key = q/Q;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|299#299|; 

$key = q/langleMrangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|78#78|; 

$key = q/displaystyleDinv{rho}left(DD{p}{t}-nablacdotDvect{F}^{rad}-nablacdotDvect{F}^{therm}+varepsilonright);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|499#499|; 

$key = q/displaystylew^{prime}(x,y,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|36#36|; 

$key = q/O(T)sim150;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|216#216|; 

$key = q/displaystyle+DP{}{x}left(K_{m}DP{E_{turb}}{x}right)+DP{}{y}left(K_{m}DP{E_{turb}}{y}right)+DP{}{z}left(K_{m}DP{E_{turb}}{z}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|964#964|; 

$key = q/rho_I=1.565times10^3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|192#192|; 

$key = q/C_{varepsilon}=0.2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|272#272|; 

$key = q/sigma=3.3times10^{-10};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|232#232|; 

$key = q/displaystyleDD{theta}{t}=Dinv{Pi}left(Q_{cond}+Q_{rad}+Q_{dis}right)+D_{theta}Deqlab{theta8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|587#587|; 

$key = q/displaystyleDeqlab{netu12};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|539#539|; 

$key = q/{displaymath}=-frac{q}{3l_{1}}(overline{u^{prime}_{i}u^{prime}_{j}}-frac{delta_{{2}left(DP{u_{i}}{x_{j}}+DP{u_{j}}{x_{i}}right),{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|843#843|; 

$key = q/displaystylebar{theta_v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|670#670|; 

$key = q/displaystyleDP{}{x_{j}}left(K_{m}DP{E_{turb}}{x_{j}}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|803#803|; 

$key = q/displaystyleint_0^{infty}N_DmV_DdD.Deqlab{TermVel3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1015#1015|; 

$key = q/displaystyleDeqlab{thermodyn8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|392#392|; 

$key = q/textstyle=;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|19#19|; 

$key = q/displaystyle-langlec_prangle_0overline{theta_v}DP{Pi^{prime}}{z}+frac{theta^{pri-1right)overline{q_v}}g+D_{w^{prime}}Deqlab{bunri:moist:dwdt};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|679#679|; 

$key = q/displaystylefrac{1.4389pi}{4}left(frac{rho_wgD}{rho}right)^{1slash2}EN_{0}q_{c}frac{3.75}{lambda^{3}}frac{1}{2}sqrt{frac{pi}{lambda}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|997#997|; 

$key = q/langlec_{p}rangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|163#163|; 

$key = q/displaystyleDP{overline{Pi}}{z}=-frac{g}{langlec_prangle_0overline{theta_v}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|666#666|; 

$key = q/displaystyle{q_c}^{prime}(x,y,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|48#48|; 

$key = q/displaystyleDD{v}{t}=-langlec_prangle_0theta_vDP{Pi}{y}+D_vDeqlab{equations:u-w-pi-theta:v};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|619#619|; 

$key = q/displaystyle+frac{overline{rho}gz}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|771#771|; 

$key = q/displaystylefrac{1.4389times3.75pi^{5slash8}}{8}EN_{0}^{1slash8}g^{1slash2}left(frac{rho}{rho_w}right)^{0.375}q_{c}q_r^{0.875};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1007#1007|; 

$key = q/displaystyle-K_hleft(1+sumfrac{L^2overline{q_v}}{langlec_prangle_0R_voverline{theta}^2overline{Pi}^2}right)^{-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|939#939|; 

$key = q/displaystylec_{pi}(p_0,T)+int_{p_0}^{p}left{DP{}{p^{prime}}left[Tleft(DP{S_i}{T}right)_{p^{prime}}right]_Tright}dp^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|371#371|; 

$key = q/displaystyle-frac{2}{3}E_{turb}left(DP{u}{x}+DP{v}{y}+DP{w}{z}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|262#262|; 

$key = q/displaystyle-u^{prime}DP{theta^{prime}}{x}-v^{prime}DP{theta^{prime}}{y}-w^{primglec_prangle_0overline{Pi}}left(CN_{vc}-EV_{cv}-EV_{rv}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|151#151|; 

$key = q/displaystyleoverline{q_d}(z)+{q_d}^{prime}(x,y,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|44#44|; 

$key = q/displaystyle-int_{p^{*}}^{p}left[v_v(p^{prime},T)-v_c(p^{prime},T)right]dp^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|417#417|; 

$key = q/l;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|797#797|; 

$key = q/displaystyleDD{q_{v}}{t}=-frac{q_{v}}{rho}sumM_{fall}(rho_r)+Dinv{rho}M_{src}(rho_v)+D_{q_v}Deqlab{equations:u-w-pi-theta:qv};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|625#625|; 

$key = q/displaystyle+Pi^{prime}frac{langlec_prangle_0^2overline{rho}overline{theta_v}^2}{overline{langlec_srangle}^2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|733#733|; 

$key = q/displaystyleoverline{pleft(DP{u^{prime}_{i}}{x_{j}}+DP{u^{prime}_{j}}{x_{i}}righme}_{i}}{x_{k}}DP{u^{prime}_{j}}{x_{k}}},Deqlab{MY1974:eq(7)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|829#829|; 

$key = q/theta_e;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|256#256|; 

$key = q/displaystyle+Dinv{rho}c_{pd}TnablacdotDvect{i}_d+Dinv{rho}sumleft(c_{pv}T+L_{00}right)nablacdotDvect{i}_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|530#530|; 

$key = q/l_{1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|844#844|; 

$key = q/overline{q_v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|95#95|; 

$key = q/displaystyleH_d(p_0,T_0)+int_{T_0}^{T}c_{pd}(p_0,T_0)dT^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|438#438|; 

$key = q/2nuoverline{DP{u^{prime}_{i}}{x_{k}}DP{u^{prime}_{j}}{x_{k}}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|848#848|; 

$key = q/displaystyleoverline{u^{prime}_{j}theta^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|880#880|; 

$key = q/displaystyle+sumfrac{R_v}{R_d}left[M_{src}(q_v)+D_{q_v}right]Bigg}Bigg]Bigg];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|736#736|; 

$key = q/a=v,c,r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|106#106|; 

$key = q/rho_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|12#12|; 

$key = q/v_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|337#337|; 

$key = q/displaystylefrac{Loverline{q_v}^{*}}{R_voverline{T}^2}T^{prime}-frac{overline{q_v^{*}}}{overline{p}}p^{prime}Deqlab{moistturb4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|918#918|; 

$key = q/displaystyle-u_jDP{}{x_j}left(frac{rho_c}{rho}right)-frac{rho_c}{rho^2}sumM_{falo_r)+Dinv{rho}M_{src}(rho_c)+Dinv{rho}D_{rho_c},Deqlab{sphm4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|318#318|; 

$key = q/displaystyle-left(CN_{vc}-EV_{cv}-EV_{rv}right)+D_{overline{q_v}}+D_{q_v^{prime}},Deqlab{def_qv2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|155#155|; 

$key = q/displaystyle-frac{2}{3}E_{turb}left(DP{u}{x}+DP{v}{y}+DP{w}{z}right)Deqlab{S};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|959#959|; 

$key = q/displaystyleDP{p_v^{*}}{T}=frac{Lp_v^{*}}{R_vT^2}Deqlab{moistturb3-2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|916#916|; 

$key = q/R_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1072#1072|; 

$key = q/displaystyledtheta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|588#588|; 

$key = q/{displaymath}F=-K_{d}DD{rho_{v}}{r}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1033#1033|; 

$key = q/displaystyleH_c(p,T)+L(T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|447#447|; 

$key = q/displaystyleH_d(p,T)-pv_d(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|453#453|; 

$key = q/D_{q_d}+D_{q_v}+D_{q_c}+D_{q_r}=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|694#694|; 

$key = q/displaystyleF_r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1014#1014|; 

$key = q/displaystylelangleMrangle_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|82#82|; 

$key = q/displaystyle-ql_{2}DP{theta}{x_{j}}Deqlab{MY1974:Level1(2)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|881#881|; 

$key = q/overline{q_d};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|94#94|; 

$key = q/displaystyle-uDP{E_{turb}}{x}-vDP{E_{turb}}{y}-wDP{E_{turb}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|258#258|; 

$key = q/displaystylemu_v(p^{*}+dp^{*},T+dT),Deqlab{Cl-Cl2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|343#343|; 

$key = q/displaystyle+TDP{}{T}left[int_{p^{*}}^{p}left[v_v(p^{prime},T)-v_c(p^{prime},T)right]dp^{prime}right]_p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|418#418|; 

$key = q/rho_w=10^3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|976#976|; 

$key = q/dq_vslashq_vggdPislashPi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|592#592|; 

$key = q/displaystyle-Dinv{rho}Dvect{i}_dcdotnablaleft(c_{pd}Tright)-Dinv{rho}sumDvect{i}dotnablaleft(c_{pv}T+L_{00}right)-Dinv{rho}sumLM_{src}(rho_v);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|536#536|; 

$key = q/displaystyleDP{u^{'}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|650#650|; 

$key = q/c_{pv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|68#68|; 

$key = q/displaystyle-u^{prime}DP{q_v^{prime}}{x}-v^{prime}DP{q_v^{prime}}{y}-w^{prime}DP}{z}-frac{overline{q_v}}{overline{rho}}sumPR_r(rho_r^{prime});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|182#182|; 

$key = q/displaystyleDP{q^{2}}{t}+u_{k}DP{q^{2}}{x_{k}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|834#834|; 

$key = q/displaystyle-u^{prime}DP{q_v^{prime}}{x}-v^{prime}DP{q_v^{prime}}{y}-w^{prime}DPP{overline{q_v}}{z}-frac{overline{q_v}}{overline{rho}}sumPR_r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|154#154|; 

$key = q/displaystyleCL_{cr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|995#995|; 

$key = q/displaystylec_{pc}T+L_{00}+(c_{pv}-c_{pc})T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|448#448|; 

$key = q/displaystyleDeqlab{thermodyn14};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|406#406|; 

$key = q/H;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|482#482|; 

$key = q/displaystyle-DP{}{x_{j}}overline{u_{j}^{prime}theta^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|252#252|; 

$key = q/displaystylehat{c_p}DD{T}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|498#498|; 

$key = q/displaystyleDD{rho}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|595#595|; 

$key = q/displaystyleoverline{theta_v}^{-1}overline{u^{prime}_{j}theta_v^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|897#897|; 

$key = q/{displaymath}L_{00}=L(T)-(c_{pv}-c_{pc})TDeqlab{netu5}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|481#481|; 

$key = q/displaystyleint_0^{infty}N_0exp(-lambdaD)frac{pi}{6}rho_wD^31.4389left(frac{rho_wgD}{rho}right)^{1slash2}dD;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1020#1020|; 

$key = q/displaystyle-Dinv{rho}M_{src}(rho_v)+Dinv{rho}D_{rho_c},Deqlab{sphm8-A};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|503#503|; 

$key = q/displaystylec_{vd}T,Deqlab{thermodyn26};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|455#455|; 

$key = q/rho_{v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1034#1034|; 

$key = q/N_{D};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|985#985|; 

$key = q/displaystyleH_i(p,T)-pv_i(p,T)Deqlab{thermodyn25};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|451#451|; 

$key = q/displaystyleu^{prime}(x,z,t),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|631#631|; 

$key = q/{displaymath}overline{pu^{prime}_{i}}=overline{ptheta^{prime}}=0{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|858#858|; 

$key = q/displaystylec_{pi}(p_0,T)+Tint_{p_0}^{p}left[DP{}{T}left(DP{S_i}{p^{prime}}right)_{T}right]_{p^{prime}}dp^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|372#372|; 

$key = q/displaystylefrac{LlangleRrangle_0}{R_v^2overline{T}^2}frac{overline{p_v}^{*}}{overline{p}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|911#911|; 

$key = q/displaystyleDP{}{x_{k}}left[u_{k}overline{u^{prime}_{i}u^{prime}_{j}}+overline{u_{j}}-nuDP{}{x_{k}}overline{u^{prime}_{i}u^{prime}_{j}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|826#826|; 

$key = q/rho_{v}=rho_{v,infty};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1041#1041|; 

$key = q/rho_I;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|188#188|; 

$key = q/displaystyle-2overline{u^{prime}_{j}u^{prime}_{k}}DP{u_{j}}{x_{k}}-2DP{}{x_{j}}orline{left(DP{u^{prime}_{j}}{x_{k}}right)^2}Deqlab{qの予報式};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|836#836|; 

$key = q/{displaymath}DD{}{t}equivDP{}{t}+u_{k}DP{}{x_{k}}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|874#874|; 

$key = q/displaystyleTleft{DP{}{T}left[frac{H_c(p,T)-mu_c(p,T)}{T}right]right}_p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|426#426|; 

$key = q/displaystyle-left(DP{mu_i}{T}right)_pDeqlab{thermodyn13};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|404#404|; 

$key = q/displaystyleq_r(x,y,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|49#49|; 

$key = q/{displaymath}f_{k}varepsilon_{jkl}overline{u_{l}^{prime}theta^{prime}}=0{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|861#861|; 

$key = q/displaystyle-nablacdotDvect{i}_v,Deqlab{DiffFlux2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|510#510|; 

$key = q/displaystyleq_L;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|806#806|; 

$key = q/g=9.8;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|977#977|; 

$key = q/rho;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|16#16|; 

$key = q/D_{E};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|798#798|; 

$key = q/F_i^{rad};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|466#466|; 

$key = q/displaystyle-frac{L_v}{overline{rho}langlec_prangle_0}M_{src}(rho_v^{prime}).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|150#150|; 

$key = q/displaystyle+K_{m}left(DP{v}{x}+DP{u}{y}right)DP{v}{x}+left{2K_{m}DP{v}{y}-frac{turb}right}DP{v}{y}+K_{m}left(DP{v}{z}+DP{w}{y}right)DP{v}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|955#955|; 

$key = q/displaystyle+gK_hleft(1+sumfrac{R_v}{R_d}overline{q_v}-sumoverline{q_L}right)^{-1}DP{left(sumq_Lright)}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|968#968|; 

$key = q/g_{j};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|840#840|; 

$key = q/displaystyleU_c(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|460#460|; 

$key = q/p=rho_glangleRrangle_0T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|586#586|; 

$key = q/displaystyle-frac{rho_d}{rho^2}DP{rho}{t}+Dinv{rho}DP{rho_d}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|306#306|; 

$key = q/displaystyleH_d(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|437#437|; 

$key = q/displaystyle-nablacdot[langlec_prangle_0overline{rho}overline{theta_v}Pi^{prime}{theta_v}^2{Pi^{prime}}^2}{overline{langlec_srangle}^2}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|737#737|; 

$key = q/displaystyle-u^{prime}DP{u^{prime}}{x}-v^{prime}DP{u^{prime}}{y}-w^{prime}DP{u^{{z}-langlec_prangle_0overline{theta_v}DP{Pi^{prime}}{x}+D_{u};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|108#108|; 

$key = q/displaystyle-u^{prime}DP{q_c^{prime}}{x}-v^{prime}DP{q_c^{prime}}{y}-w^{prime}DP{q_c^{prime}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|711#711|; 

$key = q/displaystyleL_{00};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|435#435|; 

$key = q/displaystyle-u^{prime}DP{v^{prime}}{x}-v^{prime}DP{v^{prime}}{y}-w^{prime}DP{v^{prime}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|658#658|; 

$key = q/displaystyleV_D=130left(frac{rho_0}{rho}right)^{0.5}D^{0.5}Deqlab{shuutan4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|980#980|; 

$key = q/{displaymath}left(DD{m}{t}right)_{ev}sim-2.24times10^{-2}(rho_{v,s}-rho_{v,infty1.6}Deqlab{近似された蒸発による雨粒の成長方程式}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1050#1050|; 

$key = q/displaystyleq_v(x,y,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|45#45|; 

$key = q/{displaymath}PR_r=DP{}{z}left(rho_rV_{term}right)Deqlab{CloudI}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|220#220|; 

$key = q/Q_{rad};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|127#127|; 

$key = q/displaystyleQ_{cond};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|149#149|; 

$key = q/l_3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|893#893|; 

$key = q/displaystylelanglec_vrangle_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|63#63|; 

$key = q/^3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|193#193|; 

$key = q/displaystyleDP{w^{prime}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|111#111|; 

$key = q/displaystyle-nablacdot(overline{rho}KDvect{u})-KDP{}{t}left(rho_d^{prime}+rho_v^{prime}right)+KM_{src}(rho_v^{prime})Deqlab{AAC};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|729#729|; 

$key = q/{displaymath}DP{rho_v^{prime}}{t}+DP{}{x}left(u^{prime}overline{rho_v}right)+DP{rho_v}right)=M_{src}(rho_v^{prime})Deqlab{AAA-3}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|724#724|; 

$key = q/displaystylePi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|52#52|; 

$key = q/EV_{rv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|134#134|; 

$key = q/displaystylefrac{langlec_prangle_0rhotheta_v}{langlec_srangle^2}DD{Pi}{t}-frac{rho}{theta}DD{theta}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|602#602|; 

$key = q/displaystyleq_{r};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1000#1000|; 

$key = q/displaystyle+Dinv{overline{rho}}M_{fall}(rho_r^{prime})+Dinv{overline{rho}}M_{sr_{q_r^{prime}}.Deqlab{quasi-equations:u-w-pi-theta:qr};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|793#793|; 

$key = q/mu_c;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|416#416|; 

$key = q/displaystyle-overline{rho}(CN_{vc}-EV_{cv}-EV_{rv}),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|139#139|; 

$key = q/displaystyle2K_{m}left{left(DP{u}{x}right)^{2}+left(DP{v}{y}right)^{2}+left(DP{w}{z}right)^{2}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|957#957|; 

$key = q/displaystyle+sum(D_{q_v}+D_{q_c}+D_{q_r})-sumR_vD_{q_v}slashR_dBigg];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|773#773|; 

$key = q/displaystyle-overline{(u_{i}^{prime}u_{j}^{prime})}DP{u_{i}}{x_{j}},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|801#801|; 

$key = q/displaystyledq_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|590#590|; 

$key = q/displaystyleDP{rho_r}{t}+DP{}{x_j}(rho_ru_j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|296#296|; 

$key = q/V_{term};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|172#172|; 

$key = q/displaystyleDP{}{t}left[frac{q_r^{prime}overline{rho}gz}{1+sumleft(frac{R_v}{R_dvect{u}}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|763#763|; 

$key = q/displaystyleDvect{i}_d+sumDvect{i}_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|518#518|; 

$key = q/E=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|999#999|; 

$key = q/displaystyle-overline{u^{prime}_{j}u^{prime}_{k}}DP{theta}{x_{k}}-overline{thetaoverline{u^{prime}_{j}theta^{prime}},Deqlab{MY1974:Level4(2)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|870#870|; 

$key = q/displaystylev(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|632#632|; 

$key = q/M_{src};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|129#129|; 

$key = q/displaystylefrac{varepsilon}{rho},Deqlab{netu14};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|543#543|; 

$key = q/displaystylefrac{theta_v^{prime}}{overline{theta_v}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|804#804|; 

$key = q/displaystyle+frac{overline{langlec_srangle^2}}{langlec_prangle_0overline{theta_v{Dinv{overline{Pi}}(Q_{cond}+Q_{rad}+Q_{dis})+D_{theta}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|116#116|; 

$key = q/displaystyle-q_r^{prime}gznablacdotleft[frac{overline{rho}Dvect{u}}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|764#764|; 

$key = q/displaystyle-Dinv{rho}M_{src}(rho_v)Deqlab{sphm8-B};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|515#515|; 

$key = q/theta_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|688#688|; 

$key = q/overline{u^{prime}_{j}u^{prime}_{k}}simq^{2}delta_{jk}slash3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|876#876|; 

$key = q/C_D=0.644;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|979#979|; 

$key = q/c_s;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1062#1062|; 

$key = q/C=-0.16;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|215#215|; 

$key = q/displaystyle+gzleft[-Dinv{overline{rho}}M_{fall}(rho_r)-Dinv{overline{rho}}M_{src}(q_r)-D_{q_r}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|765#765|; 

$key = q/displaystyle-K_{d}left.DD{rho_{v}}{r}right|_{r=r_{d}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1044#1044|; 

$key = q/u_{i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1076#1076|; 

$key = q/displaystylefrac{s_v-s_c}{v_v-v_c}Deqlab{Cl-Cl9};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|359#359|; 

$key = q/displaystyleDP{bar{Pi}}{z}=-frac{g}{langlec_prangle_0bar{theta_{v}}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|649#649|; 

$key = q/v_vggv_c;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|364#364|; 

$key = q/displaystyle-u_jDP{}{x_j}left(frac{rho_r}{rho}right)-frac{rho_r}{rho^2}sumM_{falo}M_{src}(rho_r)+Dinv{rho}M_{fall}(rho_r)+Dinv{rho}D_{rho_r}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|323#323|; 

$key = q/displaystyleDD{v}{t}=-Dinv{rho}DP{p}{y}+D_vDeqlab{equations:v};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|283#283|; 

$key = q/Dvect{D}=(D_u,D_v,D_w);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|721#721|; 

$key = q/displaystyle-2.24times10^{-2}(q_{v,s}-q_{v,infty})int_{0}^{infty}D^{1.6}N_{0}exp(-lambdaD)DdD;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1053#1053|; 

$key = q/k_p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|524#524|; 

$key = q/l=left(DeltaxDeltayDeltazright)^{1slash3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|269#269|; 

$key = q/displaystylefrac{langlec_srangle^2}{langlec_prangle_0theta_v}Bigg[-DP{u_j}{x_j}+theta}left{Dinv{Pi}(Q_{cond}+Q_{rad}+Q_{dis})+D_{theta}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|680#680|; 

$key = q/displaystyletheta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|55#55|; 

$key = q/displaystyle-frac{rho}{q_dlangleMrangle_0slashM_d+sumq_vlangleMrangle_0slashM_v}rangle_0}{M_v}DD{q_v}{t}right).Deqlab{pressure:theta-pi:drho};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|603#603|; 

$key = q/{bf{{36};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|278#278|; 

$key = q/displaystyleleft(DP{mu_c}{p^{*}}right)_Tdp^{*}+left(DP{mu_c}{T}right)_{p^{*}}dT=right)_Tdp^{*}+left(DP{mu_v}{T}right)_{p^{*}}dTDeqlab{Cl-Cl6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|352#352|; 

$key = q/displaystylefrac{p_0Pi^{(langlec_vrangle_0-1)slashlangleRrangle}}{langleRrangle_right)theta}frac{langlec_vrangle_0}{langleRrangle_0}DD{Pi}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|597#597|; 

$key = q/displaystyleU_d(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|452#452|; 

$key = q/H_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|396#396|; 

$key = q/displaystyleDD{H}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|492#492|; 

$key = q/displaystyleDinv{rho}DD{p}{t}-Dinv{rho}nablacdotDvect{F}^{rad}+frac{varepsilon}{rho}+Dinv{rho}nablacdotleft(kappanablaTright);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|535#535|; 

$key = q/displaystyleN_{D};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|989#989|; 

$key = q/(dm(D)slashdt)_{cr};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|983#983|; 

$key = q/displaystyle-intKDP{}{t}left(rho_d^{prime}+rho_v^{prime}right)dV+intoverline{rho}Dvect{u}cdotDvect{D}dV+intKM_{src}(rho_v^{prime})dV;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|776#776|; 

$key = q/{bf{{83};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|276#276|; 

$key = q/^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|274#274|; 

$key = q/displaystyle-Dinv{rho}nablacdotDvect{i}_d,Deqlab{sphm6-B};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|513#513|; 

$key = q/displaystyleH_v(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|399#399|; 

$key = q/L_s;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|185#185|; 

$key = q/displaystyle-rhoD_vleft(nablaq_v+frac{k_T}{T}nablaT+frac{k_p}{p}nablapright)Deqlab{netu11};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|521#521|; 

$key = q/displaystyleDD{overline{u^{prime}_{i}u^{prime}_{j}}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|863#863|; 

$key = q/rho_0=1.2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|978#978|; 

$key = q/displaystyleK_{m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|819#819|; 

$key = q/displaystyle-frac{overline{q_v}}{overline{rho}}sumM_{fall}(rho_r^{prime})+Dinv{o_{q_v^{prime}},Deqlab{quasi-equations:u-w-pi-theta:qv};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|791#791|; 

$key = q/displaystyle-gK_hleft(1+sumfrac{L^2overline{q_v}}{langlec_prangle_0R_voverline{theta}^2overline{Pi}^2}right)^{-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|946#946|; 

$key = q/displaystyleoverline{rho}(CN_{vc}-EV_{cv}-CN_{cr}-CL_{cr}),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|141#141|; 

$key = q/displaystyleDP{}{p}left(frac{p_v^{*}slashR_v}{pslashlangleRrangle_0}right)_{(overline{T},overline{p})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|914#914|; 

$key = q/R_v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|72#72|; 

$key = q/Deltax,Deltay,Deltaz;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|270#270|; 

$key = q/H_c;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|395#395|; 

$key = q/Gamma(2.6)=1.4296245;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1058#1058|; 

$key = q/displaystyletheta_e=theta+sumfrac{Lq_v}{Pilanglec_prangle}_0Deqlab{epot4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|594#594|; 

$key = q/bar{~};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|29#29|; 

$key = q/displaystyleint_0^{infty}N_0exp(-lambdaD)frac{pi}{6}rho_wD^3dD;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1018#1018|; 

$key = q/displaystyle0,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|145#145|; 

$key = q/displaystyleDD{w}{t}=-langlec_prangle_0theta_vDP{Pi}{z}-g+D_wDeqlab{equations:u-w-pi-theta:w};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|620#620|; 

$key = q/displaystyleq_v(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|642#642|; 

$key = q/displaystyle-Dinv{rho}LM_{src}(rho_v),Deqlab{netu15};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|545#545|; 

$key = q/displaystyleDinv{rho}M_{src}(rho_v)Deqlab{epot2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|591#591|; 

$key = q/langlec_prangle_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|74#74|; 

$key = q/{displaymath}rhoDD{U}{t}+nablacdotDvect{F}^{rad}+nablacdotDvect{F}^{therm}=-pnablacdotDvect{u}+varepsilonDeqlab{netu1}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|465#465|; 

$key = q/q_d+sumq_v+sumq_c+sumq_r=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|333#333|; 

$key = q/displaystyleU_i(p,T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|450#450|; 

$key = q/(partial^2v_islashpartialT^2)_p=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|375#375|; 

$key = q/(dm(D)slashdt)_{ev};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1028#1028|; 

$key = q/p_{CO_2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|228#228|; 

$key = q/displaystyle+left[sumleft(-1+frac{R_v}{R_d}right)q_v^{prime}-sumleft(q_c^{prime}+q_r^{prime}right)right]overline{theta}Deqlab{DTheta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|676#676|; 

$key = q/K_{m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|247#247|; 

$key = q/displaystyleM_{fall}(rho_r^{prime});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|147#147|; 

$key = q/displaystyle-K_{h}frac{Loverline{q_v}}{R_voverline{Pi}overline{theta}^2}left(1+sline{Pi}^2}right)^{-1}DP{theta_e}{x_j}Deqlab{レイノルズ応力6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|817#817|; 

$key = q/c_{vv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|70#70|; 

$key = q/displaystylefrac{1.4389times3.75pi^{3slash2}}{8}left(frac{rho_wgD}{rho}right)^{1slash2}EN_{0}q_{c}left(frac{rhoq_r}{piN_0rho_w}right)^{0.875};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1006#1006|; 

$key = q/displaystyle+Dinv{q_dlangleMrangle_0slashM_d+sumq_vlangleMrangle_0slashM_v}left(rangle_0}{M_v}DD{q_v}{t}right)Bigg]Deqlab{pressure:theta-p:p};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|609#609|; 

$key = q/displaystyleDinv{overline{theta}}DP{}{t}left(overline{rho}theta^{prime}gzright)+d^{prime}+rho_v^{prime}right)-sumM_{src}(rho_v^{prime})right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|747#747|; 

$key = q/displaystyle+frac{theta^{prime}}{overline{theta}}g+frac{sum(R_vslashR_d-1)q_v^{pr^{prime})}{1+sum(R_vslashR_d-1)overline{q_v}}g+D_{w^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|113#113|; 

$key = q/displaystyle-frac{overline{{langlec_{s}rangle}^{2}}}{langlec_prangle_0bar{rho}ba{theta_v}^{2}}Ddivleft(bar{rho}bar{theta_v}Dvect{u^{'}}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|115#115|; 

$key = q/displaystyleleft{2K_{m}DP{u}{x}-frac{2}{3}E_{turb}right}DP{u}{x}+K_{m}left(DP{u}v}{x}right)DP{u}{y}+K_{m}left(DP{w}{x}+DP{u}{z}right)DP{u}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|954#954|; 

$key = q/displaystyle-left{-K_{m}left(DP{u_{i}}{x_{j}}+DP{u_{j}}{x_{i}}right)+frac{2}{3}delta_{ij}E_{turb}right}DP{u_{i}}{x_{j}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|949#949|; 

$key = q/displaystyleoverline{(u_{i}^{prime}theta)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|809#809|; 

$key = q/displaystyleDD{p^{*}}{T};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|358#358|; 

$key = q/displaystyleDP{Pi}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|621#621|; 

$key = q/displaystylePiequivfrac{T}{theta}=left(frac{p}{p_{0}}right)^{frac{langleRrangle_0}{langlec_{p}rangle_0}}Deqlab{theta5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|569#569|; 

$key = q/displaystyletheta(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|636#636|; 

$key = q/displaystylefrac{R_{ast}}{langleRrangle}=frac{q_d+sumq_v}{q_dslashM_d+sumq_vslashM_v}Deqlab{Tfaa};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|560#560|; 

$key = q/displaystylefrac{1}{rho}int_{0}^{infty}rho_{w}frac{pi}{6}D^{3}N_{D}DdD;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1001#1001|; 

$key = q/-CN_{vc}+EV_{cv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|164#164|; 

$key = q/displaystylevarepsilon;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|472#472|; 

$key = q/langlec_{s}rangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|629#629|; 

$key = q/displaystyle-u^{prime}DP{u^{prime}}{x}-v^{prime}DP{u^{prime}}{y}-w^{prime}DP{u^{prime}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|656#656|; 

$key = q/displaystyletheta^{prime}left(1+sumfrac{L^2overline{q_v}^{*}}{langlec_prangle_0Rac{overline{q_v^{*}}}{overline{p}}p^{prime}Deqlab{moistturb9};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|929#929|; 

$key = q/U;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|464#464|; 

$key = q/x_{i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1079#1079|; 

$key = q/displaystyle-u^{'}DP{(bar{theta}+theta^{'})}{x}-v^{'}DP{(bar{theta}+theta^{'})}{y}-w^{'}DP{(bar{theta}+theta^{'})}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|704#704|; 

$key = q/{displaymath}DP{rho}{t}+DP{}{x_j}(rhou_j)=sumM_{fall}(rho_r)Deqlab{renzoku5}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|303#303|; 

$key = q/displaystyle-frac{rho}{q_dlangleMrangle_0slashM_d+sumq_vlangleMrangle_0slashM_v}{M_d}DD{q_d}{t}+sumfrac{langleMrangle_0}{M_v}DD{q_v}{t}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|601#601|; 

$key = q/rho_c;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|14#14|; 

$key = q/displaystyleleft(frac{langleMrangle_0}{M_d}overline{q_d}+sumfrac{langleMrangle_0}{M_v}overline{q_v}right)overline{theta},Deqlab{basic2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|89#89|; 

$key = q/R_{ast};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|558#558|; 

$key = q/l_{2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|847#847|; 

$key = q/displaystyle+Dinv{overline{rho}}M_{fall}(rho_r^{prime})+Dinv{overline{rho}}M_{src}(rho_r^{prime})+D_{q_r^{prime}}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|714#714|; 

$key = q/displaystyle-Dinv{rho}sumLM_{src}(rho_v);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|534#534|; 

$key = q/displaystyle-frac{rho_c}{rho^2}DP{rho}{t}+Dinv{rho}DP{rho_c}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|315#315|; 

$key = q/C_{varepsilon};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1060#1060|; 

$key = q/mu_c(p^{*},T)=mu_v(p^{*},T);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|412#412|; 

$key = q/displaystyleDD{q_{c}}{t}=-frac{q_{c}}{rho}sumM_{fall}(rho_r)+Dinv{rho}M_{src}(rho_c)+D_{q_c}Deqlab{equations:u-w-pi-theta:qc};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|626#626|; 

$key = q/displaystyleDeqlab{equations:u-w-pi-theta:continue};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|622#622|; 

$key = q/displaystylefrac{Loverline{q_v}^{*}}{R_voverline{T}}left(frac{theta^{prime}}{overline{p}}right)-frac{overline{q_v^{*}}}{overline{p}}p^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|920#920|; 

$key = q/displaystylerho_vR_vT.Deqlab{equations:eqsvapor};MSF=1.6;LFS=12;TAGS=R;AAT/;
$cached_env_img{$key} = q|289#289|; 

$key = q/displaystylefrac{langleRrangle_0Pitheta_v}{p}DP{left(p_{0}Pi^{langlec_{p}rangleslashlangleRrangle_0}right)}{x_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|611#611|; 

$key = q/nu;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|838#838|; 

$key = q/displaystyleDP{overline{u^{prime}_{i}u^{prime}_{j}}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|824#824|; 

$key = q/displaystylelangleMrangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|559#559|; 

$key = q/displaystyle-langlec_prangle_0overline{theta_v}DP{Pi^{prime}}{x}+D_{u}Deqlab{bunri:moist:dudt};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|657#657|; 

$key = q/displaystyle-left(frac{C_{varepsilon}}{l}right)E_{turb}^{frac{3}{2}}.Deqlab{B:TurbE};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|965#965|; 

$key = q/displaystyleDinv{rho}M_{src}(rho_v)+Dinv{rho}D_{rho_v},Deqlab{sphm7-A};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|502#502|; 

$key = q/w^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|102#102|; 

$key = q/displaystyleK_{h};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|821#821|; 

$key = q/{displaymath}frac{1}{r^{2}}DP{}{r}left(r^{2}Fright)=0{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1036#1036|; 

$key = q/displaystyle-left(frac{C_{varepsilon}}{l}right)E_{turb}^{frac{3}{2}}.Deqlab{B:TurbE-moist};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|969#969|; 

$key = q/displaystyle+intfrac{overline{rho}gz}{1+sumleft(frac{R_v}{R_d}-1right)overline{q_v}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|781#781|; 

$key = q/displaystyleoverline{u^{prime}_{i}u^{prime}_{j}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|878#878|; 

$key = q/D_{rho_c};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|506#506|; 

$key = q/R_hggR_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|207#207|; 

$key = q/displaystylefrac{q_{d0}c_{vd}+sumq_{v0}c_{vv}}{q_{d0}+sumq_{v0}}Deqlab{def_Cv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|64#64|; 

$key = q/overline{rho}=overline{rho_d}+sumoverline{rho_v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|726#726|; 

$key = q/langlec_{s}rangle^2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|687#687|; 

$key = q/overline{pu^{prime}_{i}},overline{ptheta^{prime}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|857#857|; 

1;

