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Laminar free convection in boundary layers near horizontal cylinders and vertical axisymmetric bodies

Published online by Cambridge University Press:  28 March 2006

D. A. Saville  and
S. W. Churchill
D. A. Saville
Affiliation:
Now at Shell Development Company, Emeryville, California. Department of Chemical and Metallurgical Engineering, University of Michigan, Ann Arbor, Michigan
S. W. Churchill
Affiliation:
Department of Chemical and Metallurgical Engineering, University of Michigan, Ann Arbor, Michigan
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Abstract

In this article the problem of describing free convection near either horizontal cylinders or vertical axisymmetric bodies with fairly arbitrary body contours is studied. The solutions of two, coupled, partial differential equations, for the temperature and stream functions, are represented by series which are universal with respect to body contours within a specified class of body shapes (e.g. round-nosed cylinders). The series appear to converge rapidly so that a minimum of computational effort is required, even for classes of body shapes which do not admit the usual similarity transformations. For either horizontal, circular cylinders or spheres the series converge faster than expansions of the Blasius type and one-term approximations compare favourably with some of the existing experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 29 , Issue 2 , 11 August 1967 , pp. 391 - 399
Copyright
© 1967 Cambridge University Press

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