Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-28T02:52:10.743Z Has data issue: false hasContentIssue false

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
Affiliation:
Department of Mathematics, University of Ife, Ile-Ife, Nigeria

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 = xsx¼/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
Copyright
Copyright © Royal Society of Edinburgh 1982

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Goldstein, S.. On laminar boundary-layer flow near a point of separation. Quart. J. Mech. Appl. Math. 1 (1948), 4369.Google Scholar
2Stewartson, K.. On Goldstein's theory of laminar boundary layer separation. Quart. J. Mech. Appl. Math. 11 (1958), 399410.Google Scholar
3Terrill, R. M.. Laminar boundary-layer near separation with and without suction. Philos. Trans. Roy. Soc. London Ser. A 253 (1960), 55100.Google Scholar
4Akinrelere, E. A.. Forced convection near laminar separation. Aeronautical Quart. (1981), 212227.CrossRefGoogle Scholar
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), 153171.CrossRefGoogle Scholar