The Effective Thermal Conductivity of a Packing of Spheres

[+] Author and Article Information
A. Jagota

Central R&D, E. I. Du Pont de Nemours and Co., Wilmington, DE 19880

C. Y. Hui

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853

J. Appl. Mech 57(3), 789-791 (Sep 01, 1990) (3 pages) doi:10.1115/1.2897096 History: Received April 10, 1989; Revised June 28, 1989; Online March 31, 2008


The anisotropic effective thermal conductivity of a random packing of spheres is derived. The conductivity is closely related to the fabric tensor of the theory of granular materials. The derivation involves a mean temperature field assumption which is shown to render the model an upper bound. Closed-form expressions for the conductivity are obtained in the isotropic and axisymmetric cases.

Copyright © 1990 by The American Society of Mechanical Engineers
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