You will either need to take a course in heat transfer or find a similar problem solved for another project. The add'l information needed is Tambient and the outdoor windspeed,usaully defined in the contract spec.
q(btu/hr/ft2) = (Tg-Ta)/ R,total
R, total =sum{R1+R2+...}
R1= 1/h,i where h,i= inside film convective heat transfer coef for gas flowing inside the flue, from heat transfer text, or estimate as 7.0 btu/hr /ft2/F
R2= steel casing resistance to heat transfer = t/k (ft2-F-hr/btu) , t= thickness(ft) k= conductivity
R3= insulation resistance to heat transfer =t/k
R4= lagging resistance to conductionheat transfer =t/k
R5 = 1/(h,r+ h,c),, h,r= apparent radiation heat transfer coefficient = e*g*(Ts^4-Ta^4)/(Ts-Ta); iterative value, asume an initial value, solve the problem, then update estimate and solve again. e= lagging emissivity, see prior discussion a= 0.173E-8 btu/hr/ft2/R4, T in degrees rankine, H,c= outside film convective heat transfer coef due to either widnspeed or natural convection- see heat transfer text or use h,c=4. btu/hr/ft2/F Please note that it is easy to cheat by assuming a high e and a high H,c, so your ethics will be questioned if the client detects this.