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% input parameters
Ta=15+273.15;
ha=5;
Tr=-7+273.15;
Tw=10+273.15;
Hi=10;
Bi=20;
Li=60;
Kins=0.045;
xbar=Li/Hi;
ybar=Bi/Hi;
er=0.05;
ep=0.95;
sigma=5.670e-8;
Tins=-5+273.15;
syms tins;
% define eqns
Aw1=Li*Bi;
Aw2=Hi*Bi;
Aw3=Li*Hi;
Awt=2*Aw3+2*Aw2
Rconv1=1/(ha*(2*Aw3+2*Aw2))
Rconv2=1/(ha*Aw1)
Rconv3=1/(ha*Aw1)
Rcond = tins/(Kins*Aw1)
F23=(2/(pi*xbar*ybar))*((log((((1+xbar^2)*(1+ybar^2))/(1+xbar^2+ybar^2))^0.5))+(xbar*(1+ybar^2)^(0.5))*atan((xbar)/((1+ybar^2)^0.5))+(ybar*(1+xbar^2)^0.5)*atan((ybar)/((1+xbar^2)^0.5))-xbar*atan(xbar)-ybar*atan(ybar));
Rrad2=1/(Aw1*F23)
F32=F23;
F31=1-F32;
Rrad3=1/(Aw1*F31)
F13=(Aw1*F31)/Awt
F12=1-F13
Rrad1=1/(Awt*F12)
Rrad4=(1-ep)/(ep*Aw3);
%CALCULATE NET q
syms Tc;
Eb3=sigma*Tc^4;
Eb1=sigma*Tw^4
Eb2=sigma*Tr^4;
Qrad=ep*Eb3*Aw1-ep*Eb1*Awt*F13-ep*Eb2*Aw1*F23;
Qconv=ha*Aw1*(Tc-Ta);
Qcond=(Tc-Tins)/(Rcond);
% Plotting T vs tins
Func = 0 == -Qconv -Qcond -Qrad;
Tc = solve(Func,Tc);
fplot(Tc,[0.1,1])
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