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ThickE¼ Stewartson layers in a rapidly rotating gas

Published online by Cambridge University Press:  21 April 2006

Lennart S. Hultgren  and
Fritz H. Bark
Lennart S. Hultgren
Affiliation:
Department of Mechanical and Aerospace Engineering, Illinois Institute of Technology, Chicago, IL 60616
Fritz H. Bark
Affiliation:
Department of Mechanics, Royal Institute of Technology, S-100 44 Stockholm, Sweden
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Abstract

The effects of circumferential curvature and strong density variation on E¼ Stewartson layers are investigated. The solution of the third-order ordinary differential equation found to govern the flow is obtained by numerical integration for layers extending in the positive radial direction and in terms of a Frobenius-series solution for layers extending in the opposite direction. Due to the variation of the basic density field, the E¼ layer is compressed in the positive radial direction. E1/4 layers extending in the negative radial direction are likely to extend fully to the axis of symmetry because of the density variation and, consequently, a distinction in terms of a geostrophic flow and an E¼ layer flow cannot be made. Curvature effects are found to play a significant role in this case. A simple case of driving by a differential rotation of part of the horizontal boundaries is examined.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 169 , August 1986 , pp. 307 - 322
Copyright
© 1986 Cambridge University Press

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