Thermal Characteristics of Two-Layered Bodies With Embedded Thin-Film Heat Source

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

University of Texas at Arlington, Mechanical Engineering Department, Arlington, Texas 76019-0023

J. V. Beck

Michigan State University, Department of Mechanical Engineering, East Lansing, Michigan 48824-1226

J. Electron. Packag 115(3), 276-283 (Sep 01, 1993) (8 pages) doi:10.1115/1.2909329 History: Received April 03, 1992; Revised October 28, 1992; Online April 28, 2008


Exact series solutions for three-dimensional temperature distribution in two-layer bodies subject to various types of boundary conditions are presented. Special consideration is given to the case when one layer is a thin diamond film. The computation emphasizes the temperature effect of an embedded thin heat source of the type used in electronic devices. The mathematical formulation employs the Green’s function solution method. The solution is time partitioned in order to achieve a high degree of accuracy. Time partitioning greatly improves the convergence of three-dimensional heat conduction solutions. Time-partitioned series solutions with a reduced number of terms yield highly accurate temperature data. A two-layer model is chosen for simplicity of presentation; however, the method can be extended to more than two layers.

Copyright © 1993 by The American Society of Mechanical Engineers
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