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RESEARCH PAPERS: Porous Media

Fully Developed Heat Transfer to Fluid Flow in Rectangular Passages Filled With Porous Materials

[+] Author and Article Information
A. Haji-Sheikh

Department of Mechanical and Aerospace Engineering,  The University of Texas at Arlington, Arlington, TX 76019-0023

J. Heat Transfer 128(6), 550-556 (Dec 01, 2005) (7 pages) doi:10.1115/1.2188507 History: Received June 01, 2005; Revised December 01, 2005

This is a theoretical and numerical study of fully developed forced convection in various rectangular ducts. Each duct is filled with porous materials and the Brinkman model describes the laminar fluid flow inside this fully saturated porous passage. A Fourier series solution provides the exact solution for the velocity field. Also, a Fourier series solution can produce the temperature profile for a condition of constant energy input per unit length. This includes two different wall conditions: a uniform wall temperature at any axial location and a locally uniform heat flux over the boundary. The case of constant wall temperature over the entire passage is also accommodated using a special analytical/numerical solution.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

The coordinate system and dimensions for a rectangular passage

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Figure 2

Average Nusselt number, for the H1 case, as a function of MDa, for different values of b∕a

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Figure 3

Average Nusselt number, for the H2 case, as a function of MDa, for different values of b∕a

Grahic Jump Location
Figure 4

Average Nusselt number, for the T case, as a function of MDa, for different values of b∕a

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