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On a rotational flow disturbed by gravity

Published online by Cambridge University Press:  29 March 2006

H. P. Greenspan
H. P. Greenspan
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge
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Abstract

We examine a rapidly rotating flow that exhibits periodic vortex detachment. Specifically, the rotation/symmetry axis of a fluid-filled cylinder is set perpendicular to gravity. A free buoyant cylindrical float placed within the container is acted upon by both centrifugal and gravitational forces, the competition of which causes fluid motion and, in certain parameter ranges, flow instability. The motion is determined, a criterion for separation is advanced, preliminary experiments and data are described and the relationship of this phenomenon to other examples of vortex shedding in rotating fluids is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 74 , Issue 2 , 23 March 1976 , pp. 335 - 351
Copyright
© 1976 Cambridge University Press

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