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On the rotating-fluid flow near the rear stagnation point of a circular cylinder

Published online by Cambridge University Press:  21 April 2006

Michael A. Page
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia
Stephen J. Cowley
Affiliation:
Mathematics Department, Imperial College, London, SW7 2BZ, UK

Abstract

Low-Rossby-number flow past a circular cylinder in a rapidly rotating frame is studied when 1 < N < 2, where N is equal to E½/Ro in terms of the Ekman number E and Rossby number Ro. For this parameter range the E¼ boundary layer contains a singularity at the rear stagantion point. The asymptotic structure of this singularity is shown to consist of three distinct asymptotic regions, one of which is viscous while the others are inviscid. New accurate numerical solutions of the boundary-layer equation confirm this singularity structure. The use of Von Mises coordinates both simplifies the analysis, and enables numerical solutions to be found closer to the critical value N = 1, beneath which the flow separates upstream of the rear stagnation point.

Type
Research Article
Copyright
© 1988 Cambridge University Press

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