The net heat exchange by radiation from plate 1 with radius b to plate 2 with radius a that are separated by a distance c is given by:
q = σπb2F1€“2(T41 €“ T42)
Where T1 and T2 are the absolute temperatures of the plates, a = 5.669 × I0-8 W/(m2-K4) is the Stefan-Boltzmann constant, and F1€“2 is a shape factor which, for the arrangement in the figure, is given by:
Fl-2 = 1/2[Z2 -4.X2Y2]
Where X = a/c, Y = c/b, and Z = 1 + (1 + X2)Y2. Write a script file that calculates the heat exchange q. For input the program asks the user to enter values for T1, T2, a, b, and c. For output the program prints a summary of the geometry and temperatures and then print the value of q. Use the script to calculate the results for T1 = 400 K, T2 = 600 K, a = 1 m, b = 2m, and c = 0.1 , 1, and 10m.

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