Easy and rapid computation of the transfer of heat from annular fins of nearly optimal profile with the finite‐difference technique and the shooting method

Antonio Campo (Department of Mechanical Engineering, The University of Vermont, Burlington, Vermont, USA)
Biagio Morrone (Dipartimento di Ingegneria Aeroespaziale, Seconda Universitá di Napoli, Aversa, Italy)
Salah Chikh (Departement de Genie Mecanique, USTHB, Bab Ezzoaur, Algeria)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Publication date: 1 December 2004

Abstract

It is undeniable that the annular fin of hyperbolic profile with constant thermal conductivity and uniform convective coefficient is important in many applications of heat transfer engineering. The importance of this fin configuration stems from its close resemblance to the annular fin of optimal cross section capable of delivering maximum heat transfer for a given volume of material. This paper addresses two simple numerical procedures for solving the generalized Bessel equation that governs the temperature variation in annular fins of hyperbolic profile, one is the finite‐difference technique with an uncharacteristic coarse mesh and the other is the shooting method. Certainly, the central objective here is to avoid the evaluation of the elegant, but intricate exact analytic temperature distributions and companion fin efficiencies containing modified Bessel functions of fractional order.

Keywords

Citation

Campo, A., Morrone, B. and Chikh, S. (2004), "Easy and rapid computation of the transfer of heat from annular fins of nearly optimal profile with the finite‐difference technique and the shooting method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 14 No. 8, pp. 1002-1010. https://doi.org/10.1108/09615530410557414

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Emerald Group Publishing Limited

Copyright © 2004, Emerald Group Publishing Limited

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