Title: Heat transfer and entropy generation in a two-dimensional orthotropic convection pin fin

Authors: Abdul Aziz, O.D. Makinde

Addresses: Department of Mechanical Engineering, School of Engineering and Applied Science, Gonzaga University, Spokane, WA 99258, USA. ' Faculty of Engineering, ABC Engineering Building, Cape Peninsula University of Technology, P.O. Box 1906, Bellville 7535, South Africa

Abstract: The paper uses a two-dimensional heat conduction model to obtain the thermal performance and entropy generation in an orthotropic pin fin used in advanced light weight heat sinks. The analytical expressions for the distribution and heat transfer rates are used to generate the thermal performance graphs that are of general applicability unlike the results for specific cases reported so far. The same information is subsequently used to generate graphs of local and total volumetric entropy generation rates in the fin. The results clearly delineate the effect of radial Biot number, fin aspect ratio, and the ratio of radial to axial thermal conductivities on temperature distribution, heat transfer rate, and local and total entropy generation rates. A procedure is discussed to illustrate the simultaneous realisation of the least material and minimum entropy generation pin fin designs.

Keywords: 2D heat conduction; pin fins; orthotropic convection; entropy generation; least material; minimum entropy generation; heat transfer; modelling; lightweight heat sinks; thermal performance; temperature distribution.

DOI: 10.1504/IJEX.2010.034930

International Journal of Exergy, 2010 Vol.7 No.5, pp.579 - 592

Received: 06 Apr 2009
Accepted: 15 Nov 2009

Published online: 31 Aug 2010 *

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