An Efficient Algorithm for Evaluating Arrays of Extended Surface

[+] Author and Article Information
A. D. Kraus, L. F. Doty

College of Engineering, University of South Florida, Tampa, Fla.

A. D. Snider

College of Natural Sciences, University of South Florida, Tampa, Fla.

J. Heat Transfer 100(2), 288-293 (May 01, 1978) (6 pages) doi:10.1115/1.3450797 History: Received May 19, 1977; Online August 11, 2010


In the consideration of single longitudinal fins of rectangular, trapezoidal, and triangular profile and in arrays of extended surface composed of these fins, it is shown that conditions of heat flow and temperature excess at the fin or array tip induce conditions of heat flow and temperature excess at the fin or array base. In particular, there is a linear transformation between the aforementioned data at the fin tip and the fin base. The conventional fin efficiency is abandoned and single fins or arrays of extended surface are instead characterized by a single important parameter, the heat flow to temperature excess ratio, which is a function only of fin geometry and heat transfer parameters. Algorithms are provided for combining the effects of individual fins in arrays of extended surface. A modification of the procedures developed leads to an exact solution for the double stack with unequal heat distribution at opposite ends, a problem which has heretofore required iterative solution procedures.

Copyright © 1978 by ASME
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