Numerical Green’s Function for Steady-State Heat Conduction in Heterogeneous Media

[+] Author and Article Information
Deok-Kee Choi

Department of Mechanical Engineering, Dankook University, 8 Hannam-Dong, Yongsan-Ku, Seoul 140-714, Korea

Seiichi Nomura

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

J. Eng. Mater. Technol 120(4), 284-286 (Oct 01, 1998) (3 pages) doi:10.1115/1.2807014 History: Received February 11, 1998; Revised June 12, 1998; Online November 27, 2007


Numerical Green's function for steady-state heat conduction problems is derived in a finite-sized medium that may contain inclusions (fibers) in the matrix phase. Green's function is approximated by employing the Galerkin method that uses permissible functions which satisfy the homogeneous boundary condition for the given geometry. The present approach allows physical fields in a medium that contain multiple inclusions to be expressed through isolated integrals semi-analytically while retaining all the relevant material parameters.

Copyright © 1998 by The American Society of Mechanical Engineers
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