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RESEARCH PAPERS: Porous Media

A Numerical Study of Thermal Dispersion in Porous Media

[+] Author and Article Information
F. Kuwahara, A. Nakayama, H. Koyama

Department of Mechanical Engineering, Shizuoka University, 3-5-1 Johoku, Hamamatsu, 432 Japan

J. Heat Transfer 118(3), 756-761 (Aug 01, 1996) (6 pages) doi:10.1115/1.2822696 History: Received October 09, 1995; Revised March 29, 1996; Online December 05, 2007

Abstract

Thermal dispersion in convective flow in porous media has been numerically investigated using a two-dimensional periodic model of porous structure. A macroscopically uniform flow is assumed to pass through a collection of square rods placed regularly in an infinite space, where a macroscopically linear temperature gradient is imposed perpendicularly to the flow direction. Due to the periodicity of the model, only one structural unit is taken for a calculation domain to resolve an entire domain of porous medium. Continuity, Navier–Stokes and energy equations are solved numerically to describe the microscopic velocity and temperature fields at a pore scale. The numerical results thus obtained are integrated over a unit structure to evaluate the thermal dispersion and the molecular diffusion due to tortuosity. The resulting correlation for a high-Peclet-number range agrees well with available experimental data.

Copyright © 1996 by The American Society of Mechanical Engineers
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