RESEARCH PAPERS: Heat Conduction

A Lumped-Parameter Model for Stagnant Thermal Conductivity of Spatially Periodic Porous Media

[+] Author and Article Information
C. T. Hsu, K. W. Wong

Department of Mechanical Engineering, The Hong Kong University of Science & Technology, Clear Water Bay, Kowloon, Hong Kong

P. Cheng

Department of Mechanical Engineering, University of Hawaii, Honolulu, HI 96822

J. Heat Transfer 117(2), 264-269 (May 01, 1995) (6 pages) doi:10.1115/1.2822515 History: Received July 01, 1993; Revised April 01, 1994; Online December 05, 2007


Based on a lumped-parameter method, algebraic expressions for the stagnant thermal conductivity of some two-dimensional and three-dimensional spatially periodic media are obtained. The geometries under consideration include arrays of touching and non-touching in-line square and circular cylinders (two-dimensional), as well as touching and nontouching in-line cubes (three-dimensional). A comparison of results based on these algebraic expressions with existing numerical solutions and experimental data shows that they are in excellent agreement.

Copyright © 1995 by The American Society of Mechanical Engineers
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