clear; clc; printf('FUNDAMENTALS OF HEAT AND MASS TRANSFER \n Incropera / Dewitt / Bergman / Lavine \n EXAMPLE 4.1 Page 211 \n'); //Example 4.1 // Thermal resistance of wire coating associated with peripheral variations in coating thickness d = .005; //[m] Diameter of wire k = .35; //[W/m.K] Thermal Conductivity h = 15; //[W/m^2.K] Total coeff with Convection n Radiation rcr = k/h; // [m] critical insulation radius tcr = rcr - d/2; // [m] critical insulation Thickness Rtcond = 2.302*log10(rcr/(d/2))/(2*%pi*k); //[K/W] Thermal resistance //Using Table 4.1 Case 7 z = .5*tcr; D=2*rcr; Rtcond2D = (acosh((D^2 + d^2 - 4*z^2)/(2*D*d)))/(2*%pi*k); printf("\n\n The reduction in thermal resistance of the insulation is %.2f K/W ", Rtcond-Rtcond2D); //END