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RESEARCH PAPERS: Porous Media and Fluidized Beds

Finite Difference Modeling of Anisotropic Flows

[+] Author and Article Information
M. Keyhani, R. A. Polehn

Mechanical and Aerospace Engineering Department, University of Tennessee, Knoxville, TN 37996-2210

J. Heat Transfer 117(2), 458-464 (May 01, 1995) (7 pages) doi:10.1115/1.2822544 History: Received September 01, 1993; Revised July 01, 1994; Online December 05, 2007

Abstract

A modification to the finite difference equations is proposed in modeling multidimensional flows in an anisotropic material. The method is compared to the control volume version of the Taylor expansion and the finite element formulation derived from the Galerkin weak statement. For the same number of nodes, the proposed finite difference formulation approaches the accuracy of the finite element method. For the two-dimensional case, the effect on accuracy and solution stability is approximately the same as quadrupling the number of nodes for the Taylor expansion with only a proportionately small increase in the number of computations. Excellent comparisons are made with a new limiting case exact solution modeling anisotropic heat conduction and a transient, anisotropic conduction experiment from the literature.

Copyright © 1995 by The American Society of Mechanical Engineers
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