clear; clc; printf('FUNDAMENTALS OF HEAT AND MASS TRANSFER \n Incropera / Dewitt / Bergman / Lavine \n EXAMPLE 12.10 Page 768 \n')// Example 12.10 // Total hemispherical absorptivity and emissivity of sphere for initial condition // values of absoprtivity and emissivity after sphere has been in furnace a long time Ts = 300; //[K] temperature of surface Tf = 1200; //[K] Temperature of Furnace stfncnstt = 5.67*10^-8; //[W/m^2.K^4] Stefan-Boltzmann constant // From the given graph of absorptivities a1 = .8; //between wavelength 0 micro-m- 5 micro-m a2 = .1; //greater than wavelength 5 micro-m //From Table 12.1 //For wl1 = 5 micro-m and T = 1200 K, At wl1*T = 6000 micro-m.K F0wl1 = 0.738; //From equation 12.44 a = a1*F0wl1 + a2*(1-F0wl1); //From Table 12.1 //For wl1 = 5 micro-m and T = 300 K, At wl1*T = 1500 micro-m.K F0wl1s = 0.014; //From equation 12.36 e = a1*F0wl1s + a2*(1-F0wl1s); printf('\n For Initial Condition \n Total hemispherical absorptivity = %.2f Emissivity of sphere = %.2f \n\n Beacuase the spectral characteristics of the coating and the furnace temeprature remain fixed, there is no change in the value of absorptivity with increasing time. \n Hence, After a sufficiently long time, Ts = Tf = %i K and emissivity equals absorptivity e = a = %.2f',a,e,Tf,a);