RESEARCH PAPERS: Natural and Mixed Convection

Free Convection Limits for Pin-Fin Cooling

[+] Author and Article Information
T. S. Fisher, K. E. Torrance

Sibley School of Mechanical and Aerospace Engineering, Cornell University, Upson Hall, Ithaca, NY 14853

J. Heat Transfer 120(3), 633-640 (Aug 01, 1998) (8 pages) doi:10.1115/1.2824325 History: Received September 12, 1997; Revised April 21, 1998; Online December 05, 2007


An analytical solution for a system consisting of a pin-fin heat sink and a chimney is presented. The result is applied to problems in which the size of the overall system is constrained. For a given heat dissipation and total system size, optimal values of the pin-fin diameter and heat-sink porosity are observed. The optima occur for systems with and without chimneys. The optimization is used to show that the minimum thermal resistance from a pin-fin heat sink is about two times larger than that of an idealized model based on inviscid flow.

Copyright © 1998 by The American Society of Mechanical Engineers
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