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Heat transfer in unsteady laminar flow through a channel
Authors:P D Ariel
Institution:(1) Department of Mathematics and Statistics, University of Calgary, Calgary, Canada;(2) Present address: Department of Mathematics, P.O. Box 3900, Eldoret, Kenya
Abstract:The temperature distribution in unsteady laminar flow of a viscous incompressible fluid in a flat channel is investigated, when the pressure gradient is an arbitrary function of time. Two techniques are presented (i) explicit finite difference scheme, and (ii) Chebyshev polynomial solution. Using both the techniques, several cases of pressure gradient are considered, with special attention paid to the linearly varying case.
Keywords:
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