RESEARCH PAPERS: Design Technology

Determination of Optimum Profile of One-Dimensional Cooling Fins

[+] Author and Article Information
S. K. Hati, S. S. Rao

Department of Mechanical Engineering, Indian Institute of Technology, Kanpur-208016, India

J. Vib., Acoust., Stress, and Reliab 105(3), 317-320 (Jul 01, 1983) (4 pages) doi:10.1115/1.3269107 History: Received June 21, 1979; Online November 23, 2009


The optimum design of an one-dimensional cooling fin is considered by including all modes of heat transfer in the problem formulation. The minimum principle of Pontryagin is applied to determine the optimum profile. A new technique is used to solve the reduced differential equations with split boundary conditions. The optimum profile found is compared with the one obtained by considering only conduction and convection.

Copyright © 1983 by ASME
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