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"Andreas Messner" "ETME 4250" "Problem statement" "given" A=120[m^2] L=3[m] k=175[W/m*K] E_dot_gen=200000[W] H_r=11[W/m*K] H_l=11[W/m*K] E_dot=(E_dot_gen)/(A*L) T_inf_R=converttemp(C,K,80[C]) T_inf_l=converttemp(C,K,80[C]) T_initial=80 [C] numcells=10 DELTAx=L/numcells numnodes=numcells+1 Duplicate i=0,numcells x[i]=i*DELTAx End { "Find" "case 1" H_l=0 T_inf=converttemp(C,K,T_initial) "BCl" } "case 2" "BCL" H_l*(T_inf_l-T[numcells])-k*((T[numcells-numcells]-T[numnodes-numcells])/(DELTAx))+(E_dot)*(DELTAx/2)=0 "BCI" DUPLICATEi=1,numcells-1 (T[i-1]-2*T[i]+T[i+1])/((DELTAx)^2)+(E_dot/k)=0 End "BCR" 0=H_r*(T_inf_R-T[numcells])-k*((T[numcells-numcells]-T[numnodes-numcells])/(DELTAx))+(E_dot)*(DELTAx/2) T_s=T[numcells] t_max=T[0]
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