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On the rapid rotation of a massive sphere in a monatomic gas

Published online by Cambridge University Press:  29 March 2006

M. R. Foster
M. R. Foster
Affiliation:
Department of Aeronautical and Astronautical Engineering, The Ohio State University, Columbus
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Abstract

We consider the rapid rotation, in the sense of large Reynolds number ε−1, of a gravitating solid sphere in a monatomic gas. The flow is characterized by a thin boundary layer on the sphere and a thin, swirling, buoyant, radial jet in the equatorial plane. When the Prandtl number σ is of order unity, the boundary layer and jet are to first order uncoupled from the outer flow. For sufficiently small Prandtl number (which may be interpreted as approximating an optically thick radiating gas), the outer flow is boundary-layer driven. The parameter boundary between these two dissimilar steady states is σ = O(ε⅙).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 64 , Issue 1 , 3 June 1974 , pp. 17 - 31
Copyright
© 1974 Cambridge University Press

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