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Radiation from Metal Rod  File Size 3.54K | Date Added August, 21, 2000 You can you use and modify any of these worksheets with the Vissim 7 trial

A metal rod is in contact with a constant temperature source at each end. At steady state the heat conducted towards the center is balanced by the heat loss by radiation. This leads to a symmetrical temperature profile in the rod. The model is based on the steady state energy balance combined with Fourier's law which gives d2T/dx2 = alpha* T^4 BC T=2000K at x =0 dT/dx = 0 at x = L/2 Knowledge of the derivative at the center of the rod requires a solution involving repeated estimates of the temperature gradient at the rod end.This is taken care of by the cost block. Integration is done from one of the ends to the center of the rod. Assumptions Steady state approach is used. References: J. Ingham, I.J. Dunn, E. Heinzle & J.E. Prenosil, Chemical Engineering Dynamics : Modelling with PC Simulation, VCH Publishers Inc., New York (USA).

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