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Free convection from a heated vertical cylinder embedded in a fluid-saturated porous medium

Citation

Bassom, AP and Rees, DAS, Free convection from a heated vertical cylinder embedded in a fluid-saturated porous medium, Acta Mechanica, 116, (1-4) pp. 139-151. ISSN 0001-5970 (1996) [Refereed Article]

Copyright Statement

Copyright 1996 Springer-Verlag

DOI: doi:10.1007/BF01171426

Abstract

We consider the free convection boundary layer flow induced by a heated vertical cylinder which is embedded in a fluid-saturated porous medium. The surface of the cylinder is maintained at a temperature whose value above the ambient temperature of the surrounding fluid varies as the 𝑛th power of the distance from the leading edge. Asymptotic analyses and numerical calculations are presented for the governing nonsimilar boundary layer equations and it is shown that, when 𝑛 < 1, the asymptotic flowfield far from the leading edge of the cylinder takes on a multiple-layer structure. However, for 𝑛 > 1, only a simple single layer is present far downstream, but a multiple layer structure exists close to the cylinder leading edge. We have shown that the fully numerical and asymptotic calculations are in satisfactory agreement, especially for exponents 𝑛 close to zero. Comparisons of the present numerical solutions obtained using the Keller-box method with previous numerical solutions using local methods are also given.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:108047
Year Published:1996
Web of Science® Times Cited:17
Deposited By:Mathematics and Physics
Deposited On:2016-04-05
Last Modified:2016-07-08
Downloads:0

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