RESEARCH PAPERS: Heat Conduction

Effective Thermal Conductivity in Multidimensional Bodies

[+] Author and Article Information
Y.-M. Lee

Department of Aeronautical Engineering, Feng Chia University, 40724 Taichung, Taiwan

A. Haji-Sheikh

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

L. S. Fletcher, G. P. Peterson

Texas A&M University, Department of Mechanical Engineering, College Station, TX 77843-3123

J. Heat Transfer 116(1), 17-27 (Feb 01, 1994) (11 pages) doi:10.1115/1.2910853 History: Received May 01, 1992; Revised May 01, 1993; Online May 23, 2008


The effective thermal conductivity in three-dimensional bodies is studied analytically. The three-dimensional model considers a spherical inclusion centrally located in a cubical body. Later, the spherical inclusion is replaced by an elliptical inclusion to study the biased effect or directionality of heat flux. Two different aspect ratios for the elliptical inclusion are considered. It is shown that the effective thermal conductivity is influenced by surface conductance in addition to geometric factors. Also, the effective thermal conductivity is measured for different samples. Spherical inclusions are placed inside cylindrical bodies for convenience of the experiments. The data show that cracks induced by applied pressure and thermal stress during the experiment reduce the thermal conductance. Using the measured effective thermal conductivity data, an analytical procedure is used to calculate the average values of the apparent contact conductance.

Copyright © 1994 by The American Society of Mechanical Engineers
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