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

Transcribed Image Text:

T(x,y) = (T, - T|)w(x,y) + T,