# LaTeX2HTML 2008 (1.71)
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$key = q/displaystyle-frac{overline{rho_v}+rho_v^{prime}}{overline{rho}}Dinv{1+(rho^{prim}c_{pv}(overline{theta}+theta^{prime})DP{Pi^{prime}}{x}+D_{u};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|252#252|; 

$key = q/displaystyleleft(frac{RT_{infty}}{Dp_*(T_{infty})}+frac{L^2}{kRT_{infty}^2}right)DD{m}{t}=4pir_dleft(frac{p_{infty}}{p_*(T_{infty})}-1right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|344#344|; 

$key = q/displaystyle-uDP{w}{x}-wDP{w}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|270#270|; 

$key = q/bf{57};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|215#215|; 

$key = q/displaystyleDP{}{z}left[C_DV_{sfc}left(theta_{z_1}-frac{T_{sfc}}{Pi_{z_1}}right)right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|131#131|; 

$key = q/displaystylePi(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|36#36|; 

$key = q/displaystyleDP{Pi^{prime}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|54#54|; 

$key = q/displaystyle-frac{rho_v}{rho}Dinv{rho_v}DP{p}{x_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|238#238|; 

$key = q/rho_I=1.565times10^3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|173#173|; 

$key = q/displaystyle-frac{overline{rho_v}+rho_v^{prime}}{overline{rho_v}}left(1-frac{rho)c_{pv}(overline{theta}+theta^{prime})DP{Pi^{prime}}{x}+D_{u};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|255#255|; 

$key = q/displaystyle{rho_s}^{prime}(x,z,t).Deqlab{ZE};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|39#39|; 

$key = q/sigma=3.3times10^{-10};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|204#204|; 

$key = q/g;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|42#42|; 

$key = q/displaystyleoverline{c^2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|292#292|; 

$key = q/displaystyleQ_{dis}=frac{C_{varepsilon}}{c_{pv}l}E_{turb}^{3slash2}=frac{C_{varepsilon}}{c_{pv}l}left(frac{K_m}{C_ml}right)^3Deqlab{TurbH};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|113#113|; 

$key = q/displaystyle-DP{}{x}left[K_hDP{theta^{prime}}{x}right]-DP{}{z}left[K_hDP{(theta^{prime}+overline{theta})}{z}right],Deqlab{TurbC};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|93#93|; 

$key = q/displaystylep=S_0p_{*}Deqlab{Tprof2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|362#362|; 

$key = q/p=rhoRT;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|322#322|; 

$key = q/displaystylefrac{p}{p_{ast}}=frac{{p_0}^{frac{c_{pv}}{R}}Pi}{p_{ast}}Deqlab{CloudE};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|165#165|; 

$key = q/displaystyleDD{p_{*}}{T}=frac{Lp_{*}}{RT^2}Deqlab{Tprof4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|364#364|; 

$key = q/bf{10};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|221#221|; 

$key = q/displaystyle+{C_m}^2l^2left[left(DP{u}{x}right)^2+left(DP{w}{z}right)^2right]+frac{{C_m}^2l^2}{2}left(DP{u}{z}+DP{w}{x}right)^2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|108#108|; 

$key = q/Tsim150;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|205#205|; 

$key = q/displaystyleTleft(frac{p_0}{p}right)^{frac{R}{c_{pv}}},Deqlab{Pottemp};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|17#17|; 

$key = q/displaystyleDP{K_m}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|106#106|; 

$key = q/displaystyleF_{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|122#122|; 

$key = q/displaystyle-uDP{w}{x}-wDP{w}{z}-c_{pv}overline{theta}DP{Pi^{prime}}{z}+D_w+glefne{theta}}{overline{Pi}^{c_{vv}slashR}}rho_sright),Deqlab{AB};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|50#50|; 

$key = q/Tsim135;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|207#207|; 

$key = q/displaystylefrac{c_{vv}}{RPi}left(frac{p_0}{R}frac{Pi^{c_{vv}slashR}}{theta}righc{p_0}{R}frac{Pi^{c_{vv}slashR}}{theta}right)frac{Dtheta}{Dt};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|276#276|; 

$key = q/displaystyleexpleft(frac{L}{R}frac{T_{r_d}-T_{infty}}{T_{r_d}T_{infty}}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|339#339|; 

$key = q/displaystyle-frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}^2}nablacdotlerline{theta}}left(frac{L}{c_{pv}overline{T}}-1right)M_{cond};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|312#312|; 

$key = q/p_s;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|358#358|; 

$key = q/F_{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|115#115|; 

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

$key = q/displaystyle-c_{pv}overline{theta}DP{Pi^{prime}}{z}-frac{rho_s^{prime}}{overline{rho}}g+frac{theta^{prime}}{overline{theta}}g+D_{w};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|268#268|; 

$key = q/displaystylew^{prime}(x,z,t),Deqlab{ZB};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|33#33|; 

$key = q/psim400;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|206#206|; 

$key = q/overline{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|44#44|; 

$key = q/bf{45};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|217#217|; 

$key = q/displaystyleM_{cond}=NDD{m}{t}=frac{4pir_dN}{R_m+R_h}(S-1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|352#352|; 

$key = q/bf{102};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|225#225|; 

$key = q/rho=rho_{r_d};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|319#319|; 

$key = q/psi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|82#82|; 

$key = q/displaystyle-DP{}{x}left[K_hDP{rho_s}{x}right]-DP{}{z}left[K_hDP{rho_s}{z}right]Deqlab{TurbD};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|95#95|; 

$key = q/Deltaz;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|102#102|; 

$key = q/displaystyle-c_{pv}overline{theta}DP{overline{Pi}}{z}-c_{pv}overline{theta}DP{Pi^{prime}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|264#264|; 

$key = q/M_{fall};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|73#73|; 

$key = q/displaystyle-frac{rho_v}{rho}frac{RthetaPi}{p}frac{p_0c_{pv}}{R}Pi^{(c_{pv}slashR)-1}DP{Pi}{x_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|240#240|; 

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

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

$key = q/displaystyle0=-c_{pv}overline{theta}DP{overline{Pi}}{z}-gDeqlab{EOM7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|259#259|; 

$key = q/displaystylelnfrac{p_*(T_{r_d})}{p_*(T_{infty})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|334#334|; 

$key = q/W(z);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|388#388|; 

$key = q/displaystyleT_{S_0}(z)=frac{B_{ant}}{A_{ant}-ln(p_sslashS_0)}expleft(-frac{g}{L}zright)Deqlab{Tprof9};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|378#378|; 

$key = q/displaystyle-frac{L}{g}lnleft[frac{A-ln(p_sslashS_0)}{B}T_{iso}right]Deqlab{Tprof10};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|385#385|; 

$key = q/displaystyle-frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}^2}nablacdotlac{overline{c^2}}{c_{pv}overline{rho}overline{theta}}M_{cond};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|305#305|; 

$key = q/c_{vv}simeq545.2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|62#62|; 

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

$key = q/K_h;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|97#97|; 

$key = q/bf{20};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|230#230|; 

$key = q/displaystyle-uDP{u}{x}-wDP{u}{z}-c_{pv}overline{theta}DP{Pi^{prime}}{x}+D_u+D_{u}^{sfc},Deqlab{AA};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|48#48|; 

$key = q/displaystylefrac{p_0c_{vv}}{R^2}frac{Pi^{c_{vv}slashR-1}}{theta}frac{DPi}{Dt}-frac{p_0}{R}frac{Pi^{c_{vv}slashR}}{theta^2}frac{Dtheta}{Dt};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|275#275|; 

$key = q/displaystyleDP{u}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|47#47|; 

$key = q/displaystyleexpleft(A_{ant}-frac{B_{ant}}{T_0}right),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|375#375|; 

$key = q/displaystyle+frac{overline{c^2}}{c_{pv}overline{theta}^2overline{Pi}}left(Q_{cond+}Q_{dis}+Q_{rad}right)Deqlab{Peq7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|289#289|; 

$key = q/displaystyle-frac{rho_v}{rho}c_{pv}thetaDP{Pi}{x}+D_u,Deqlab{EOM4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|245#245|; 

$key = q/displaystyleapprox;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|129#129|; 

$key = q/A_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|144#144|; 

$key = q/displaystyle4.7,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|151#151|; 

$key = q/displaystyle-Dinv{rho}DP{p}{x_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|237#237|; 

$key = q/bf{17};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|223#223|; 

$key = q/displaystylefrac{L^2}{kRT^2}=frac{L^2}{kRtheta^2Pi^2},Deqlab{CloudC};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|163#163|; 

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

$key = q/displaystyleu(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|29#29|; 

$key = q/displaystylew;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|83#83|; 

$key = q/displaystyleW(z);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|391#391|; 

$key = q/displaystyleDP{rho_s}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|57#57|; 

$key = q/z_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|125#125|; 

$key = q/displaystyle-w^{prime}DP{overline{Pi}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|299#299|; 

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

$key = q/p=400;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|2#2|; 

$key = q/A_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|143#143|; 

$key = q/bf{110};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|224#224|; 

$key = q/displaystyleQ_{cond}=frac{LM_{cond}}{c_{pv}overline{rho}}Deqlab{Peq13};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|307#307|; 

$key = q/z;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|371#371|; 

$key = q/displaystyleC_{sc}=1+K_nleft[1.257+0.400expleft(-frac{1.10}{K_n}right)right].;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|196#196|; 

$key = q/p_0=700;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|25#25|; 

$key = q/N;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|351#351|; 

$key = q/m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|314#314|; 

$key = q/displaystyleR_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|345#345|; 

$key = q/displaystyleDD{T}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|367#367|; 

$key = q/5.0times10^{8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|5#5|; 

$key = q/displaystyleDeqlab{Peq12};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|306#306|; 

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

$key = q/^2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|202#202|; 

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

$key = q/displaystyleDD{p_*}{T}=frac{Lp_*}{RT^2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|333#333|; 

$key = q/c_{pv}simeq734.1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|24#24|; 

$key = q/u_{min}=0.1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|141#141|; 

$key = q/_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|46#46|; 

$key = q/T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|14#14|; 

$key = q/c_{pv};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|22#22|; 

$key = q/bf{35};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|222#222|; 

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

$key = q/K_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|96#96|; 

$key = q/bf{9};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|228#228|; 

$key = q/displaystyle-uDP{u}{x}-wDP{u}{z}-c_{pv}overline{theta}DP{Pi^{prime}}{x}+D_{u}Deqlab{EOM6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|258#258|; 

$key = q/k_B;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|199#199|; 

$key = q/bf{24};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|213#213|; 

$key = q/displaystyle-frac{overline{rho_v}+rho_v^{prime}}{overline{rho}+rho^{prime}}c_{pvime})left(DP{overline{Pi}}{z}+DP{Pi^{prime}}{z}right)-g+D_{w};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|261#261|; 

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

$key = q/displaystyle7.4C_{DN}A_1left(frac{z_1}{z_0}right)^{1slash2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|153#153|; 

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

$key = q/displaystylefrac{Drho_v}{Dt};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|273#273|; 

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

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

$key = q/displaystyleD_{u}^{sfc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|128#128|; 

$key = q/displaystyle1+frac{L}{R}frac{T_{r_d}-T_{infty}}{T_{infty}^2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|340#340|; 

$key = q/displaystyle-Dinv{rho}DP{F_{u}}{z},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|117#117|; 

$key = q/displaystyle-frac{rho_v}{rho}frac{RthetaPi}{p}DP{}{x_i}left[p_0Pi^{c_{pv}slashR}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|239#239|; 

$key = q/eta_{ref}=1.47times10^{-5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|188#188|; 

$key = q/eta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|183#183|; 

$key = q/displaystyle-frac{4pir_dD}{R}left(frac{p_*(T_{r_d})}{p_*(T_{r_d})T_{r_d}}-frac{p_{infty}}{p_*(T_{r_d})T_{infty}}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|326#326|; 

$key = q/displaystyle-frac{K_m}{3}left(DP{u}{x}+DP{w}{z}right)+Dinv{2}left(DP[2]{{K_m}^2}{x}+DP[2]{{K_m}^2}{z}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|109#109|; 

$key = q/displaystyleoverline{rho}overline{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|290#290|; 

$key = q/v_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|133#133|; 

$key = q/displaystylefrac{L}{R}frac{T_{r_d}-T_{infty}}{T_{r_d}T_{infty}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|335#335|; 

$key = q/p=90;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|4#4|; 

$key = q/displaystyleK_h=3K_mDeqlab{TurbF};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|105#105|; 

$key = q/displaystylePi^{prime}(x,z,t)+overline{Pi}(z),Deqlab{ZD};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|37#37|; 

$key = q/displaystyle+frac{overline{c}^2}{c_{pv}overline{theta}^2}Dinv{overline{Pi}}(Q_{c}^2}{c_{pv}overline{rho}overline{theta}^2}M_{cond},Deqlab{AD};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|56#56|; 

$key = q/psim90;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|208#208|; 

$key = q/(T_{r_d}-T_{infty})slashT_{infty}ll1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|328#328|; 

$key = q/D;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|81#81|; 

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

$key = q/{figure}center{Depsf[][][width=6.0cm,angle=270]{psslashradius-dens.ps}{{center{{figure};LFS=12;FSF=1.6;AAT/;
$cached_env_img{$key} = q|209#209|; 

$key = q/l=(DeltaxDeltaz)^{1slash2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|103#103|; 

$key = q/D_u;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|63#63|; 

$key = q/displaystyleequiv;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|16#16|; 

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

$key = q/bf{29};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|216#216|; 

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

$key = q/displaystyleA_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|148#148|; 

$key = q/displaystyleA_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|150#150|; 

$key = q/displaystylesimeq;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|253#253|; 

$key = q/displaystyleDP{overline{p}}{z}=-overline{rho}gDeqlab{hydrostat1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|41#41|; 

$key = q/displaystyleC_{sc}=1+frac{4}{3}K_nDeqlab{CloudK};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|193#193|; 

$key = q/bf{162};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|219#219|; 

$key = q/displaystylefrac{RPi}{c_{vv}}left[-nablacdotDvect{u}-Dinv{rho_v}M_{cond}+Dinv{thetaPi}left(Q_{cond}+Q_{dis}+Q_{rad}right)right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|282#282|; 

$key = q/displaystyleLDD{m}{t}=-4pir^2kDD{T}{r};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|329#329|; 

$key = q/displaystyle+Dinv{overline{Pi}}(Q_{cond}+Q_{rad}+Q_{dis})+D_{theta}+D_{theta}^{sfc},Deqlab{AC};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|53#53|; 

$key = q/v_0=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|134#134|; 

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

$key = q/displaystyleDD{m}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|342#342|; 

$key = q/displaystyleleft(r_{aero}^3+frac{3rho_s}{4rho_Ipioverline{rho}N^{*}}right)^{1slash3}Deqlab{CloudA};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|167#167|; 

$key = q/{figure}center{Depsf[][][width=6.0cm,angle=270]{psslashVterm.ps}{{center{{figure};LFS=12;FSF=1.6;AAT/;
$cached_env_img{$key} = q|210#210|; 

$key = q/displaystyle-c_{pv}overline{theta}DP{Pi^{prime}}{z}+frac{rho_s^{prime}}{overlineoverline{Pi}}{z}-c_{pv}theta^{prime}DP{overline{Pi}}{z}+D_{w};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|267#267|; 

$key = q/displaystyle+frac{overline{c^2}}{c_{pv}overline{theta}^2overline{Pi}}left(Q_{dis}+Q_{rad}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|310#310|; 

$key = q/displaystyleoverline{T}(z);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|389#389|; 

$key = q/displaystylefrac{B_{ant}}{A_{ant}-ln(p_sslashS_0)}expleft(-frac{g}{L}z_{T}right),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|383#383|; 

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

$key = q/rhorightarrowrho_{infty};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|321#321|; 

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

$key = q/displaystyle-frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}^2}nablacdotlft(frac{LM_{cond}}{c_{pv}overline{rho}}+Q_{dis}+Q_{rad}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|308#308|; 

$key = q/displaystyleDD{p}{z}=-rhogDeqlab{Tprof1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|360#360|; 

$key = q/displaystyleDP{theta^{prime}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|51#51|; 

$key = q/displaystyle9.4,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|149#149|; 

$key = q/displaystyleDP{u}{t}+uDP{u}{x}+wDP{u}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|250#250|; 

$key = q/displaystyleDP{}{z}(C_DV_{sfc}u_{z_1}),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|130#130|; 

$key = q/displaystyle-DP{(rho_su)}{x}-DP{(rho_sw)}{z}+M_{cond}+M_{fall}+D_{rho_s}.Deqlab{AE};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|58#58|; 

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

$key = q/displaystyle[1-W(z)]frac{B_{ant}}{A_{ant}-ln(p_sslashS_0)}expleft(-frac{g}{L}zright)+W(z)T_{iso},Deqlab{Tprof12};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|390#390|; 

$key = q/displaystylefrac{RPi}{c_{vv}}left(Dinv{rho_v}frac{Drho_v}{Dt}+Dinv{theta}frac{Dtheta}{Dt}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|281#281|; 

$key = q/T=150;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1#1|; 

$key = q/displaystyleDP{overline{Pi}}{z}=-frac{g}{c_{pv}overline{theta}}Deqlab{hydrostat2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|45#45|; 

$key = q/mu;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|157#157|; 

$key = q/displaystyle-frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}^2}left[Dvect)+overline{rho}overline{theta}nablacdotDvect{u}^{prime}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|304#304|; 

$key = q/displaystylefrac{c_{vv}}{R}frac{p_0}{R}overline{Pi}^{c_{vv}slashR-1}DP{overline{Pi}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|296#296|; 

$key = q/displaystyle-Dinv{rho}DP{p}{x}+D_u,Deqlab{EOM1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|233#233|; 

$key = q/T_{S_0}(z);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|359#359|; 

$key = q/Q_{*};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|287#287|; 

$key = q/displaystylep_{*}=expleft(A_{ant}-frac{B_{ant}}{T}right)Deqlab{Tprof7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|373#373|; 

$key = q/rrightarrowinfty;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|320#320|; 

$key = q/displaystyle-frac{S_0p_{*}}{RT}g,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|366#366|; 

$key = q/displaystyle1+frac{L^2}{4pir_dkRT_{infty}^2}DD{m}{t}Deqlab{飽和蒸気圧比の式};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|341#341|; 

$key = q/displaystyle-DP{}{x}left[-2K_mDP{u}{x}+frac{2}{3}E_{turb}right]-DP{}{z}left[-K_mleft(DP{u}{x}+DP{w}{z}right)right],Deqlab{TurbA};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|89#89|; 

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

$key = q/displaystyleV_{sfc}=sqrt{u_{z_1}^2+v_0^2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|132#132|; 

$key = q/displaystyle-frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}}M_{cond};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|309#309|; 

$key = q/displaystylerho_s(x,z,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|38#38|; 

$key = q/phi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|26#26|; 

$key = q/Rsimeq188.9;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|23#23|; 

$key = q/Q_{rad};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|70#70|; 

$key = q/r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|316#316|; 

$key = q/p_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|20#20|; 

$key = q/^3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|174#174|; 

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

$key = q/displaystylefrac{B_{ant}}{A_{ant}-ln(p_sslashS_0)}Deqlab{Tprof8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|377#377|; 

$key = q/displaystyleT_{S_0}(z)=T_0expleft(-frac{g}{L}zright)Deqlab{Tprof6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|372#372|; 

$key = q/r_{aero};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|171#171|; 

$key = q/displaystyleDD{m}{t}=frac{4pir_d}{R_m+R_h}(S-1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|349#349|; 

$key = q/displaystyleDP{}{z}left(frac{p_0}{R}overline{Pi}^{c_{vv}slashR}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|295#295|; 

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

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

$key = q/displaystyleD_u^{sfc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|116#116|; 

$key = q/N^{*};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|172#172|; 

$key = q/displaystyle-c_{pv}overline{theta}DP{Pi^{prime}}{z}+gleft(frac{theta^{prime}}{ova}}{p_0overline{Pi}^{c_{vv}slashR}}rho_s^{prime}right)+D_{w},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|269#269|; 

$key = q/Lslash(c_{pv}overline{T})>1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|79#79|; 

$key = q/displaystylefrac{p_{infty}}{p_*(T_{infty})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|348#348|; 

$key = q/r=r_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|318#318|; 

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

$key = q/displaystyle0,quadquad(z=0,D)Deqlab{boundaryC};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|86#86|; 

$key = q/u_{min};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|140#140|; 

$key = q/displaystylefrac{c_{vv}}{R}frac{overline{rho}overline{theta}}{overline{Pi}}DP{overline{Pi}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|297#297|; 

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

$key = q/displaystyleeta=eta_{ref}left(frac{T_{ref}+C_{CO_2}}{overline{T}+C_{CO_2}}right)ne{theta}overline{Pi}}{T_{ref}}right)^{3slash2}Deqlab{CloudM};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|184#184|; 

$key = q/displaystyle-frac{4pir_dD}{RT_{infty}}left(frac{p_*(T_{r_d})}{p_*(T_{infty})}-frac{p_{infty}}{p_*(T_{infty})}right)Deqlab{雲粒質量の時間変化};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|327#327|; 

$key = q/displaystyle-frac{rho_v^{prime}}{overline{rho_v}}c_{pv}overline{theta}DP{overlinerline{Pi}}{z}-c_{pv}theta^{prime}DP{overline{Pi}}{z}-g+D_{w};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|265#265|; 

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

$key = q/displaystylefrac{L}{R}frac{T_{r_d}-T_{infty}}{T_{infty}^2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|337#337|; 

$key = q/displaystyleRi_{B};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|138#138|; 

$key = q/displaystylefrac{Dtheta}{Dt}=Dinv{Pi}left(Q_{cond}+Q_{dis}+Q_{rad}right)Deqlab{Peq4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|279#279|; 

$key = q/displaystyle-left(uDP{K_m}{x}+wDP{K_m}{z}right)-frac{3g{C_m}^2l^2}{2overline{theta}}DP{theta^{prime}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|107#107|; 

$key = q/V_{term};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|180#180|; 

$key = q/displaystylefrac{p_*(T_{r_d})}{p_*(T_{infty})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|338#338|; 

$key = q/displaystyle-DP{}{x}left[-K_mleft(DP{w}{x}+DP{u}{z}right)right]-DP{}{z}left[-2K_mDP{w}{z}+frac{2}{3}E_{turb}right],Deqlab{TurbB};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|91#91|; 

$key = q/C_D;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|124#124|; 

$key = q/A_{ant}=27.4;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|178#178|; 

$key = q/C_{CO_2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|187#187|; 

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

$key = q/displaystyleC_{DN};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|146#146|; 

$key = q/displaystyle-frac{rho_v}{rho}frac{RthetaPi}{p}pfrac{c_{pv}}{RPi}DP{Pi}{x_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|242#242|; 

$key = q/p_{ast};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|169#169|; 

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

$key = q/TrightarrowT_{infty};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|332#332|; 

$key = q/displaystylefrac{c^2}{c_{pv}theta}left[-nablacdotDvect{u}-Dinv{rho_v}M_{cond}+Dinv{thetaPi}left(Q_{cond}+Q_{dis}+Q_{rad}right)right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|283#283|; 

$key = q/overline{phi};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|27#27|; 

$key = q/displaystyle-Dinv{Pirhoc_p}DP{F_{theta}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|119#119|; 

$key = q/displaystyle-frac{overline{c}^2}{c_{pv}overline{rho}overline{theta}^2}left[DP{(oine{theta}u)}{x}+DP{(overline{rho}overline{theta}w)}{z}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|55#55|; 

$key = q/A_3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|145#145|; 

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

$key = q/displaystylefrac{Du}{Dt};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|232#232|; 

$key = q/displaystyleleft(frac{p}{p_0}right)^{frac{R}{c_{pv}}}=frac{T}{theta}.Deqlab{Exner};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|19#19|; 

$key = q/C_{CO_2}=240;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|191#191|; 

$key = q/overline{T};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|355#355|; 

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

$key = q/rho=overline{rho_v}+rho_v^{prime}+rho_s^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|249#249|; 

$key = q/displaystylefrac{c_{vv}rho_v}{RPi}frac{DPi}{Dt}-frac{rho_v}{theta}frac{Dtheta}{Dt}Deqlab{Peq2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|277#277|; 

$key = q/overline{Pi};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|43#43|; 

$key = q/displaystylefrac{L^2}{kRT_{infty}^2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|347#347|; 

$key = q/displaystylefrac{gz_1(theta_1^{prime}+overline{theta}_1-T_{sfc})}{overline{theta_1}^x{rmmax}(u_1^2,u_{min}^2)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|139#139|; 

$key = q/displaystyleDD{p}{z}=S_0DD{p_{*}}{z}=S_0DD{p_{*}}{T}DD{T}{z}=-rhogDeqlab{Tprof3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|363#363|; 

$key = q/displaystyleD_{theta}^{sfc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|118#118|; 

$key = q/displaystyle-g+D_{w};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|263#263|; 

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

$key = q/Deltah;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|393#393|; 

$key = q/displaystyle-c_{pv}overline{theta}DP{Pi^{prime}}{x}+D_{u},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|257#257|; 

$key = q/^{-2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|203#203|; 

$key = q/displaystylez_T;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|384#384|; 

$key = q/displaystyleleft[frac{kappa}{ln(z_1slashz_0)}right]^2,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|147#147|; 

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

$key = q/displaystyleT_{iso};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|382#382|; 

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

$key = q/displaystylec^2=frac{c_{pv}}{c_{vv}}RthetaPiDeqlab{Peq6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|286#286|; 

$key = q/displaystyle-frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}^2}Dvect{u}^{verline{c^2}}{c_{pv}overline{theta}}nablacdotDvect{u}^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|302#302|; 

$key = q/T=T_{r_d};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|331#331|; 

$key = q/displaystyleQ_{cond}=frac{LM_{cond}}{c_{pv}overline{rho}}Deqlab{AF};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|74#74|; 

$key = q/eta_{ref};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|185#185|; 

$key = q/displaystyle+left(DP{K_m}{x}right)^2+left(DP{K_m}{z}right)^2-frac{C_{varepsilon}}{2C_ml^2}{K_m}^2.Deqlab{TurbG};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|110#110|; 

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

$key = q/displaystylefrac{D}{Dt}left(frac{p_0}{R}frac{Pi^{c_{vv}slashR}}{theta}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|274#274|; 

$key = q/K_nequivlambdaslashr_d;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|194#194|; 

$key = q/displaystyleE_{turb}=left(frac{K_m}{C_ml}right)^2Deqlab{TurbE};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|99#99|; 

$key = q/^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|40#40|; 

$key = q/displaystyle-frac{rho_v}{rho}frac{RthetaPi}{p}p_0Pi^{c_{pv}slashR}frac{c_{pv}}{RPi}DP{Pi}{x_i};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|241#241|; 

$key = q/displaystylefrac{1}{p_*(T_{infty})}DD{m}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|325#325|; 

$key = q/R_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|350#350|; 

$key = q/displaystyle0,quadquad(z=0,D)Deqlab{boundaryB};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|84#84|; 

$key = q/displaystyleDD{m}{t}=-4pir_dDleft(frac{p_*(T_{r_d})}{RT_{r_d}}-frac{p_{infty}}{RT_{infty}}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|323#323|; 

$key = q/R_mllR_h;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|353#353|; 

$key = q/displaystyleDP{w}{t}+uDP{w}{x}+wDP{w}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|260#260|; 

$key = q/E_{turb};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|98#98|; 

$key = q/displaystyle-left(1+frac{rho_v^{prime}}{overline{rho_v}}right)left(1-frac{rho^{p)c_{pv}(overline{theta}+theta^{prime})DP{Pi^{prime}}{x}+D_{u};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|256#256|; 

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

$key = q/p=rho_vRT=rho_vRthetaPi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|244#244|; 

$key = q/S;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|160#160|; 

$key = q/O(overline{T})sim150;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|78#78|; 

$key = q/{displaymath}{cases}C_{DN}left(1-frac{A_1Ri_{B}}{1+A_3|Ri_{B}|^{1slash2}}right),_{B}<0)C_{DN}Dinv{1+A_2Ri_{B}},(Ri_{B}>0){cases}{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|137#137|; 

$key = q/displaystyleA_3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|152#152|; 

$key = q/D_w;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|64#64|; 

$key = q/p*(T_{infty});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|324#324|; 

$key = q/displaystylefrac{Dw}{Dt};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|234#234|; 

$key = q/displaystyle-C_DV_{sfc}rhou_{z_1},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|121#121|; 

$key = q/displaystyle-c_{pv}overline{theta}DP{Pi^{prime}}{z}-frac{rho_v^{prime}}{overlineoverline{Pi}}{z}-c_{pv}theta^{prime}DP{overline{Pi}}{z}+D_{w};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|266#266|; 

$key = q/displaystyle+frac{overline{c^2}}{c_{pv}^2overline{theta}^2overline{Pi}}left(Q_{cac{overline{c^2}}{c_{pv}overline{rho}overline{theta}}M_{cond};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|303#303|; 

$key = q/z=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|369#369|; 

$key = q/displaystylefrac{Drho_v}{Dt}=-rho_vnablacdotDvect{u}-M_{cond}Deqlab{Peq3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|278#278|; 

$key = q/displaystyle-c_{pv}overline{theta}DP{Pi^{prime}}{z}+gleft(frac{theta^{prime}}{ovline{Pi}^{c_{vv}slashR}}rho_s^{prime}right)+D_{w}Deqlab{EOM8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|271#271|; 

$key = q/V_{sfc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|127#127|; 

$key = q/displaystylefrac{c_{pv}}{c_{vv}}Roverline{theta}overline{Pi}Deqlab{Peq9};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|293#293|; 

$key = q/bf{83};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|214#214|; 

$key = q/displaystyleDinv{2}left[tanhleft(frac{z-z_T}{Deltah}right)+1right].Deqlab{Tprof13};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|392#392|; 

$key = q/k_B=1.38times10^{-23};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|201#201|; 

$key = q/displaystyleDP{w}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|49#49|; 

$key = q/displaystyle-c_pC_DV_{sfc}rho(T_{z_1}-T_{sfc}).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|123#123|; 

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

$key = q/R_h;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|159#159|; 

$key = q/rhoequivrho_v+rho_s;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|236#236|; 

$key = q/T=T_{S_0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|380#380|; 

$key = q/displaystylephi(x,z,t)=phi(x+L,z,t)Deqlab{BoundaryA};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|80#80|; 

$key = q/displaystyleM_{cond}=frac{4pir_doverline{rho}N^{*}}{R_h}(S-1).Deqlab{CloudB};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|158#158|; 

$key = q/T_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|370#370|; 

$key = q/B_{ant}=3103;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|179#179|; 

$key = q/overline{rho}=overline{rho_v};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|247#247|; 

$key = q/displaystyleLDD{m}{t}=4pirk(T_{r_d}-T_{infty})Deqlab{潜熱の時間変化};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|330#330|; 

$key = q/displaystyle-frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}^2}Dvect{u}^{cdotnablaleft(overline{rho}overline{theta}right)Deqlab{Peq11};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|301#301|; 

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

$key = q/displaystylep_{ast}simeqexpleft(A_{ant}-frac{B_{ant}}{T}right)Deqlab{CloudG};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|175#175|; 

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

$key = q/T_{iso};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|356#356|; 

$key = q/displaystyleDD{m}{t}=-4pir_dD(rho_{r_d}-rho_{infty});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|317#317|; 

$key = q/displaystyle-w^{prime}DP{overline{Pi}}{z}-frac{overline{c^2}}{c_{pv}overline{theac{overline{c^2}}{c_{pv}overline{rho}overline{theta}}M_{cond};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|288#288|; 

$key = q/displaystyle+frac{overline{c^2}}{c_{pv}overline{theta}^2overline{Pi}}left(Q_{dis}+Q_{rad}right)Deqlab{Peq14};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|313#313|; 

$key = q/displaystyle{overline{c}}^2=frac{c_{pv}}{c_{vv}}Roverline{T}=frac{c_{pv}}{c_{vv}}Roverline{theta}overline{Pi}.Deqlab{Sound};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|60#60|; 

$key = q/displaystyle+frac{overline{c}^2}{c_{pv}overline{rho}overline{theta}}left(frac{L}pv}overline{theta}^2overline{Pi}}(Q_{rad}+Q_{dis}).Deqlab{AH};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|77#77|; 

$key = q/Lsimeq5.86times10^5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|76#76|; 

$key = q/displaystyleM_{cond}simfrac{4pir_dN}{R_h}(S-1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|354#354|; 

$key = q/k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|168#168|; 

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

$key = q/rho^{prime}=rho_v^{prime}+rho_s^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|248#248|; 

$key = q/displaystylerho_v=frac{p}{RT}=frac{p_0Pi^{c_{pv}slashR}}{RPitheta}=frac{p_0}{R}frac{Pi^{c_{vv}slashR}}{theta}Deqlab{Peq1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|272#272|; 

$key = q/T=T_{iso};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|379#379|; 

$key = q/C_{DN};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|142#142|; 

$key = q/z=z_{T};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|387#387|; 

$key = q/displaystyleV_{term}=C_{sc}frac{2r_d^2grho_I}{9eta}Deqlab{CloudJ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|182#182|; 

$key = q/D_u^{sfc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|67#67|; 

$key = q/displaystylelambda=frac{k_Boverline{T}}{sqrt{2}pisigma^2overline{p}}=frac{k_Bovesqrt{2}pisigma^2p_0overline{Pi}^{c_{vv}slashR}}Deqlab{CloudL};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|198#198|; 

$key = q/C_{sc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|192#192|; 

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

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

$key = q/displaystyle-frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}^2}nablacdotlft(frac{L}{c_{pv}overline{theta}overline{Pi}}-1right)M_{cond};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|311#311|; 

$key = q/D_theta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|87#87|; 

$key = q/z_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|155#155|; 

$key = q/displaystyleF_{u};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|120#120|; 

$key = q/displaystyle-Dinv{rho}DP{p}{z}-g+D_wDeqlab{EOM2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|235#235|; 

$key = q/displaystyle-frac{overline{rho_v}+rho_v^{prime}}{overline{rho}}left(1-frac{rho^{)c_{pv}(overline{theta}+theta^{prime})DP{Pi^{prime}}{x}+D_{u};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|254#254|; 

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

$key = q/D_{theta}^{sfc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|68#68|; 

$key = q/displaystyle-frac{4pirDp_*(T_{infty})}{RT_{infty}}left(1+frac{L^2}{4pir_dkRT_{infty}^2}DD{m}{t}-frac{p_{infty}}{p_*(T_{infty})}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|343#343|; 

$key = q/S_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|357#357|; 

$key = q/displaystyle-frac{c^2}{c_{pv}theta}nablacdotDvect{u}-frac{c^2}{c_{pv}rho_vtheta}{pv}theta^2Pi}left(Q_{cond}+Q_{dis}+Q_{rad}right)Deqlab{Peq5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|284#284|; 

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

$key = q/bf{30};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|227#227|; 

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

$key = q/displaystyleD_{rho_s};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|94#94|; 

$key = q/C_{varepsilon};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|111#111|; 

$key = q/displaystyleC_{sc}=1+1.255K_n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|195#195|; 

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

$key = q/kappa=0.35;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|154#154|; 

$key = q/T_{ref}=293;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|190#190|; 

$key = q/displaystyletheta^{prime}(x,z,t)+overline{theta}(z),Deqlab{ZC};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|35#35|; 

$key = q/bf{108(E7)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|212#212|; 

$key = q/displaystyleT_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|376#376|; 

$key = q/displaystyle-frac{rho_v}{rho}c_{pv}thetaDP{Pi}{x_i}Deqlab{EOM3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|243#243|; 

$key = q/displaystyle-frac{overline{rho_v}+rho_v^{prime}}{overline{rho}+rho^{prime}}c_{pv}(overline{theta}+theta^{prime})DP{Pi^{prime}}{x}+D_{u};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|251#251|; 

$key = q/10^{-2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|156#156|; 

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

$key = q/displaystylefrac{RT_{infty}}{Dp_*(T_{infty})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|346#346|; 

$key = q/M_{cond};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|72#72|; 

$key = q/c;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|285#285|; 

$key = q/displaystyle-frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}^2}w^{prime}DP{}{z}left(overline{rho}overline{theta}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|300#300|; 

$key = q/T=135;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|3#3|; 

$key = q/displaystylefrac{p_s}{S_0};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|374#374|; 

$key = q/displaystylefrac{p_0}{R}overline{Pi}^{c_{vv}slashR}Deqlab{Peq8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|291#291|; 

$key = q/F_{u};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|114#114|; 

$key = q/displaystyleM_{fall}=DP{}{z}left(rho_sV_{term}right)Deqlab{CloudI};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|181#181|; 

$key = q/bf{164};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|229#229|; 

$key = q/bf{107};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|211#211|; 

$key = q/displaystyleDP{}{z}left(overline{rho}overline{theta}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|294#294|; 

$key = q/displaystylefrac{c_{pv}overline{rho}overline{theta}^2}{overline{c^2}}DP{overline{Pi}}{z}Deqlab{Peq10};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|298#298|; 

$key = q/z_{T};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|381#381|; 

$key = q/C_m=C_{varepsilon}=0.2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|112#112|; 

$key = q/displaystyleS_0frac{Lp_{*}}{RT^2}DD{T}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|365#365|; 

$key = q/displaystyle-frac{rho_v}{rho}c_{pv}thetaDP{Pi}{z}-g+D_wDeqlab{EOM5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|246#246|; 

$key = q/bf{160};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|218#218|; 

$key = q/bf{36};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|226#226|; 

$key = q/displaystyle-uDP{theta^{prime}}{x}-wDP{theta^{prime}}{z}-wDP{overline{theta}}{z};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|52#52|; 

$key = q/bf{66};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|220#220|; 

$key = q/displaystyleDD{m}{t}=4pir_d^2DDP{rho}{r};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|315#315|; 

$key = q/displaystyle-frac{g}{L}TDeqlab{Tprof5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|368#368|; 

$key = q/displaystyleoverline{T}(z)={cases}frac{B_{ant}}{A_{ant}-ln(p_sslashS_0)}expleft(5mm}(zleqz_T)T_{iso}hspace{43mm}(z>z_T){cases}Deqlab{Tprof11};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|386#386|; 

$key = q/displaystyle-left(1+frac{rho_v^{prime}}{overline{rho_v}}right)left(1-frac{rho^{pheta^{prime})left(DP{overline{Pi}}{z}+DP{Pi^{prime}}{z}right);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|262#262|; 

$key = q/^{-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|6#6|; 

1;

