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The following equation describes the temperature distribution in a flat rectangular metal plate. The temperature on three sides is held constant at T 1 ,
The following equation describes the temperature distribution in a flat rectangular metal plate. The temperature on three sides is held constant at T and at T on the fourth side see Figure The temperature T x y as a function of the xy coordinates shown is given by
where
TxyTTwxyT
Xinfty npi x sinhnpi yL wx ypi n sin L sinhnpi WLnodd ThegivendataforthisproblemareTFTFandW Lft
Using a spacing of for both x and y generate a surface mesh plot and a contour plot of the temperature distribution.
Hint: Use two nested for loops, one over x and one over y Within the y loop, use a while loop or use any other method that you know to determine how many terms are required in the series to produce a temperature calculation that is accurate to within
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