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Effects of arbitrary Prandtl number on a forced convection flow near laminar separation

Published online by Cambridge University Press:  14 November 2011

E. A. Akinrelere
E. A. Akinrelere
Affiliation:
Department of Mathematics, University of Ife, Ile-Ife, Nigeria
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Synopsis

Following an earlier paper by Akinrelere (1981), we consider a laminar boundary layer at low speeds in which density is sensibly constant and frictional heating is neglected. Also following the approach of Goldstein (1948) and Stewartson (1958), a singularity is established at separation for the thermal fields. The heat transfer is determined as a function of ξ = xs – x¼/l where xs is the separation point and l in a characteristic length.

The results are for arbitrary Prandtl number σ. The results of Curle (1979) that the heat transfer near separation varies as σ¼ (at least for the first four terms) are confirmed.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 92 , Issue 3-4 , 1982 , pp. 337 - 341
Copyright
Copyright © Royal Society of Edinburgh 1982

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References

1Goldstein, S.. On laminar boundary-layer flow near a point of separation. Quart. J. Mech. Appl. Math. 1 (1948), 43–69.Google Scholar
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5Curle, N.. Effects of a sharp pressure rise on a compressible laminar boundary layer, when the Prandtl number is σ = 0·72. Proc. Roy. Soc. Edinburgh Sect. A 84 (1979), 153–171.CrossRefGoogle Scholar