clear; clc; printf('FUNDAMENTALS OF HEAT AND MASS TRANSFER \n Incropera / Dewitt / Bergman / Lavine \n EXAMPLE 13.5 Page 834 \n')// Example 13.5 // Heat gain by the fluid passing through the inner tube // Percentage change in heat gain with radiation shield inserted midway between inner and outer tubes T2 = 300 ;//[K] Temperature of inner surface D2 = .05 ;//[m] Diameter of Inner Surface e2 = .05 ;// emissivity of Inner Surface T1 = 77 ;//[K] Temperature of Outer Surface D1 = .02 ;//[m] Diameter of Inner Surface e1 = .02 ;// emissivity of Outer Surface D3 = .035 ;//[m] Diameter of Shield e3 = .02 ;// emissivity of Shield stfncnstt = 5.670*10^-8 ;//[W/m^2.K^4] Stefan Boltzman Constant //From Equation 13.20 Heat balance q = stfncnstt*(%pi*D1)*(T1^4-T2^4)/(1/e1 + (1-e2)/e2*D1/D2) ;//[W/m] RtotL = (1-e1)/(e1*%pi*D1) + 1/(%pi*D1*1) + 2*[(1-e3)/(e3*%pi*D3)] + 1/(%pi*D3*1) + (1-e2)/(e2*%pi*D2) ;//[m^-2] q2 = stfncnstt*(T1^4 - T2^4)/RtotL; //[W/m] printf('\n Heat gain by the fluid passing through the inner tube = %.2f W/m \n Percentage change in heat gain with radiation shield inserted midway between inner and outer tubes is = %.2f percent',q,(q2-q)*100/q);