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Consider one-dimensional steady state heat conduction in a rod with constant internal thermal generation (q) and thermal conductivity (k), as sketched in the figure below:
Consider one-dimensional steady state heat conduction in a rod with constant internal thermal generation (q) and thermal conductivity (k), as sketched in the figure below: The temperature is fixed at zero at the left end (T_l = 0) and at one at the right end (T_r = 1). The ratio of internal thermal generation to thermal conductivity (5 = q/k) is fixed at S = 10. The overall length of the rod is L = 1. Approximate the solution to this heat conduction problem using the finite difference method as discussed in class. Uniform grid spacing (delta x = constant) can be used. The plots of the center temperature versus iterations for both Jacobi Iteration and Gauss-Seidel Iteration (comparing the convergence of the two solvers) The plots of Delta magnitude for temperature, |{delta}|, versus iterations for both Jacobi Iteration and Gauss-Seidel Iteration Solvers The plot of center temperature versus grid spacing The plot of the temperature distribution along the rod
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