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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);
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