clc(); clear // To find the time required for the billet to remain in the oven A = 2; // Length of steel billet in ft B = 2; // Breadth of billet in ft C = 4; // Height of billet in ft To = 70; // Initial temperature of billet n F Tf = 750; // Maximum temp. of billet in F T = 700; // Temperature for which time has to be found out k = 25; // Thermal conductivity in Btu/hr-ft^2-F a = 0.57; // Thermal diffusivity in ft^2/hr h = 100; // Heat transfer coeff. in Btu/hr-ft BiA = h*A/k; // Biot number BiB = h*B/k; BiC = h*C/k; t = 1.53; // Assumed temperature in F s1 = a*t/A^2; // Parameters s2 = a*t/B^2; s3 = a*t/C^2; // Seeing the values of Bi and s and comparing from the table // T/Toa=0.302 and T/Tob=0.805 and (T/Toa)^2*T/Toc=0.0735 printf("The time required for the centre temperature to reach 700 F under the conditions specified in the problem is t=%.2f hr",t);