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Home Archives Thermal Letter Officers Future meetings Assembly for International Heat Transfer Conferences

ISBN Print: 0-89116-559-2

ISSN: 2377-424X

International Heat Transfer Conference 8
August, 17-22, 1986, San Francisco, USA

ANALYSIS OF CONVECTIVE HEAT TRANSFER IN A HORIZONTAL CYLINDER WITH COMPUTER-EXTENDED PERTURBATION SERIES

Get access DOI: 10.1615/IHTC8.3460
pages 331-336

Abstract

The method of extended perturbation series and its improvement are applied to the problem of convective heat transfer in a horizontal porous cylinder with internal heat sources. The objective is to obtain an expansion of the Nusselt number Nu in a power series of the Rayleigh number Ra. Such an expansion was usually terminated at the second order term and, consequently, only has a very limited utility. In this study, we extend the series, with the aid of a computer, up to the fiftieth order. This results in a 26-term power series of Ra2 for the Nusselt number. The domain and the rate of convergence of this series are further increased by various techniques of asymptotic analysis to obtain a new series valid for all Rayleigh numbers. In particular, for Ra > 5000, we obtain the compact relation Nu = (Ra/4)1/3.
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