Question
The Gauss-Seidel Iteration Method is Required (See Appendix D in Textbook) An aluminum bar is of a trapezoidal cross section as shown in the schematic.
The Gauss-Seidel Iteration Method is Required (See Appendix D in Textbook)\ An aluminum bar is of a trapezoidal cross section as shown in the schematic. The upper\ and lower faces are adiabatic. The upper face length is 20 mm, lower face is 40 mm, and the\ height is 20 mm. The left and right faces are at temperatures ? = 100\\\\deg ? and ?? = 0 ,\ respectively. Assume the heat conduction is steady state.\ 1) Determine the temperature distribution using a finite difference approach with \\\\Delta x =\ \\\\Delta y = 10 mm. Plot the temperature distribution contour.\ 2) Determine the heat transfer rate per unit bar length.\ 3) Compare the heat rate to that of a bar of a 20 mm \\\\times 30 mm rectangular cross section\ where the height of the domain is 20 mm (for recta
The Gauss-Seidel Iteration Method is Required (See Appendix D in Textbook)\ An aluminum bar is of a trapezoidal cross section as shown in the schematic. The upper\ and lower faces are adiabatic. The upper face length is 20 mm, lower face is 40 mm, and the\ height is 20 mm. The left and right faces are at temperatures ? = 100\\\\deg ? and ?? = 0 ,\ respectively. Assume the heat conduction is steady state.\ 1) Determine the temperature distribution using a finite difference approach with \\\\Delta x =\ \\\\Delta y = 10 mm. Plot the temperature distribution contour.\ 2) Determine the heat transfer rate per unit bar length.\ 3) Compare the heat rate to that of a bar of a 20 mm \\\\times 30 mm rectangular cross section\ where the height of the domain is 20 mm (for recta
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