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Please use MATLAB In many food service operations it is desired to keep the product at a steady (constant but not necessarily uniform) temperature. Assume
Please use MATLAB
In many food service operations it is desired to keep the product at a steady (constant but not necessarily uniform) temperature. Assume that a product can be modeled as a twodimensional rectangular body subjected to prescribed boundary conditions. whereT2TIT(x,y)TI a. Write down the governing equation, along with the boundary conditions. b. The textbook says that the solution to the correct problem formulation in (a) is given by =2n=1n(1)n+1+1Sin(nLx)Sinh(nLW)Sinh(nLy) c. Using MATLAB, solve the governing equation subject to the boundary conditions and plot the temperature profile in the body. For this assignment use T1=70C2T2=85(,k=0.25W/mK,q=0,L=0.1m,W=0.15m d. Compare the solution obtained using MATLAB to the analytical solution posted above. Compare the two by a surface plot for each solution (separate surface plots next to each other), a plot of the temperature along the vertical central axis of the block (both plots on same graph), and also compute the mean square error between the results of the two solutions. Comment on your results
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