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Delayed separation in eastward, rotating flow on a β-plane

Published online by Cambridge University Press:  20 April 2006

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

We consider the small-Rossby-number flow of a fluid past an obstacle in a coordinate frame in which the rotation rate varies linearly in the direction normal to the flow in a manner that models the variation of the Coriolis force for midlatitude planetary motions. The eastward flow is characterized by strong upstream divergence of the streamlines like that noted by Davies & Boyer (1982), and a similarly severe streamline convergence in the lee of the obstacle. Such a structure occurs for small values of the β-parameter that measures the importance of the lateral angular-velocity variation. In this parameter range, Rossby waves occur, but are confined to a narrow region in the lee of the object. The presence of these waves modifies the edge velocity ‘seen’ by the Stewartson quarter layer in such a way as to delay the onset of separation beyond what one might expect based on the analysis of Walker & Stewartson (1974) for a flow without beta-effect.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 155 , June 1985 , pp. 59 - 75
Copyright
© 1985 Cambridge University Press

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