// Display mode mode(0); // Display warning for floating point exception ieee(1); clc; disp("Principles of Heat transfer, Seventh Edition, Frank Kreith, Raj M Manglik and Mark S Bohn, Chapter 9, Example 4") //Hemispherical emissivity of an aluminum paint at wavelengths below 3 microns epsilon_lamda_1=0.4; //Hemispherical emissivity of an aluminum paint at longer wavelengths epsilon_lamda_2=0.8; //At room temperature 27 degree celcius, product of lamda and T in micron-K lamda_T_1=3*(27+273); //At elevated temperature 527 degree celcius, product of lamda and T in micron-K lamda_T_2=3*(527+273); //From Table 9.1 // For lamda_T_1, ratio of blackbody emission between zero and lamda_l to the total emission r_1=0.00016; // For lamda_T_2, ratio of blackbody emission between zero and lamda_u to the total emission r_2=0.14; disp("Thus, the emissivity at 27°C") //Emissivity epsilon=0.8 disp("emissivity at 527°C") //Emissivity at higher temp. epsilon=(r_2*epsilon_lamda_1)+(epsilon_lamda_2*0.86) disp("The reason for the difference in the total emissivity is that at the higher temperature,the percentage of the total emissive power in the low-emittance region of the paint is appreciable, while at the lower temperature practically all the radiation is emittedat wavelengths above 3 microns")