Combined Analysis and Optimization of Extended Heat Transfer Surfaces

[+] Author and Article Information
A. N. Hrymak, G. J. McRae, A. W. Westerberg

Department of Chemical Engineering, Carnegie-Mellon University, Pittsburgh, PA 15213

J. Heat Transfer 107(3), 527-532 (Aug 01, 1985) (6 pages) doi:10.1115/1.3247456 History: Received June 19, 1984; Online October 20, 2009


This study presents an efficient numerical method to discover the optimal shape for a fin subject to both convective and radiative heat loss. Problem formulation is a finite element approximation to the conduction equation embedded within and solved simultaneously with the shape optimization problem. The approach handles arbitrary equality and inequality constraints. Grid points move to conform to the fin shape during the problem solution, reducing the number of elements required in the solution.

Copyright © 1985 by ASME
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