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RESEARCH PAPERS: Heat Conduction

Optimal Sizing of Planar Thermal Spreaders

[+] Author and Article Information
S. Hingorani, C. J. Fahrner, D. W. Mackowski, J. S. Gooding

Mechanical Engineering Department, Auburn University, Auburn, AL 36849-5341

R. C. Jaeger

Electrical Engineering Department, Auburn University, Auburn, AL 36849-5341

J. Heat Transfer 116(2), 296-301 (May 01, 1994) (6 pages) doi:10.1115/1.2911399 History: Received November 01, 1992; Revised August 01, 1993; Online May 23, 2008

Abstract

Two-dimensional cylindrical and three-dimensional Cartesian thermal spreaders are studied. One of the surfaces is convectively coupled to a uniform environmental temperature while the opposite surface is subjected to a uniform heat flux distribution over a portion of its boundary. The problem is generalized through the introduction of appropriate dimensionless variables, and analytical solutions for the temperature field are presented for each coordinate system. The solutions depend on the usual geometric and heat transfer groups. It is found that, for a range of realistic Biot numbers and a given ratio of the spreader to heater dimensions, a dimensionless spreader thickness exists for which the temperature of the heater reaches a minimum value. Optimal thickness curves are presented for these ranges.

Copyright © 1994 by The American Society of Mechanical Engineers
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