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RESEARCH PAPERS

Numerical Solution to a Two-Dimensional Conduction Problem Using Rectangular and Cylindrical Body-Fitted Coordinate Systems

[+] Author and Article Information
A. Goldman, Y. C. Kao

Department of Mechanical Engineering, Texas Tech University, Lubbock, Tex. 79409

J. Heat Transfer 103(4), 753-758 (Nov 01, 1981) (6 pages) doi:10.1115/1.3244537 History: Received September 25, 1980; Online October 20, 2009

Abstract

The temperature distribution in a rectangular plate with a circular void at the center was calculated using a body-fitted coordinate system. Three different transformed geometries were considered: rectangular-rectangular, cut-line, and cylindrical. Problems involving insulated outer surfaces could not be solved using the rectangular-rectangular transformation but could be solved with both the cut-line and cylindrical transformations. The cylindrical transformation also appears to have the capability of being extended to three-dimensional problems.

Copyright © 1981 by ASME
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