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Unsteady-State Heat Conduction using the Schmidt Numerical Method

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
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A 1m thick slab is initially at 100C. The front face temperature is fixed at 0C. The back surface of the slab is insulated. We use the Schmidt numerical method to find the temperature profile at different times. We compare this result with the solution obtained using Mathematica's built-in function NDSolve. This problem was originally proposed by C. J. Geankoplis, Transport Processes and Unit Operations, 3rd edition, Prentice Hall, 1993, Example 5.4-2 page 356.

*Engineering > Chemical Engineering
*Science > Chemistry

Heat conduction, NDSolve, Schmidt Numerical method, Unsteady-state, cooling of a slab
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schmidt1.nb (69 KB) - Mathematica Notebook [for Mathematica 5.1]