The Optimum Dimensions of Circular Fins with Variable Thermal Parameters

[+] Author and Article Information
P. Razelos

Department of Applied Sciences, College of Staten Island, City University of New York, Staten Island, NY 10301

K. Imre

Department of Mathematics, College of Staten Island, City University of New York, Staten Island, NY 10301

J. Heat Transfer 102(3), 420-425 (Aug 01, 1980) (6 pages) doi:10.1115/1.3244316 History: Received November 30, 1979; Online October 20, 2009


Optimum dimensions of circular fins of trapezoidal profile with variable thermal conductivity and heat transfer coefficients are obtained. Linear variation of the thermal conductivity is considered of the form k = k0 (1 + εT/T0 ), and the heat transfer coefficient is assumed to vary according to a power law with distance from the bore, expressed as h = K[(r − r0 )/(r0 − re )]m . The results for m = 0, 0.8, 2.0, and −0.4 ≤ ε ≤ 0.4, have been expressed by suitable nondimensional parameters which are presented graphically. It is shown that considering the thermal conductivity as constant, the optimum base thickness and volume of the fin are inversely proportional to the thermal conductivity of the material of the fin, while the optimum length and effectiveness are independent of the properties of the material used.

Copyright © 1980 by ASME
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