The following equation describes the temperature distribution in a at rectangular metal plate. The temperature on three sides is held constant at T1, and at T2 on the fourth side (see Figure P35). The temperature T (x, y) as a function of the xy coordinates shown is given by
Where
The given data for this problem are T1 = 70°F, T2 = 200°F, and W = L = 2 ft. Using a spacing of 0.2 for both x and y, generate a surface mesh plot and a contour plot of the temperature distribution.
Figure P35
