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Three-dimensional flow in circular cavities of large spanwise aspect ratio

Published online by Cambridge University Press:  30 July 2012

Owen Tutty ,
Ralph Savelsberg  and
Ian P. Castro
Ralph Savelsberg
Affiliation:
Engineering and the Environment, University of Southampton, Highfield, Southampton SO17 1BJ, UK
Ian P. Castro*
Affiliation:
Engineering and the Environment, University of Southampton, Highfield, Southampton SO17 1BJ, UK
*
†Email address for correspondence: i.castro@soton.ac.uk
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Abstract

Experimental data are presented for the vortex flow in a nominally two-dimensional circular cavity. The vortex is driven by a separated shear layer along an open section of the cavity circumference. It is shown that the core vortex flow is perturbed three-dimensionally. An inviscid analysis of an ideal core (solid body) vortex is given and it is shown that this flow contains a steady perturbation whose characteristics are almost exactly those identified in the experiments. Viscous effects reduce (by a few per cent) the spanwise wavelength of the perturbation and also lead, via spatial variations in Reynolds stress, to a modification of the core flow so that the radial profile of the circumferential velocity is ‘S’-shaped, rather than linear.

JFM classification

Geophysical and Geological Flows: Rotating flows Geophysical and Geological Flows: Waves in rotating fluids
Type
Papers
Information
Journal of Fluid Mechanics , Volume 707 , 25 September 2012 , pp. 551 - 574
Copyright
Copyright © Cambridge University Press 2012

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Footnotes

‡

Present address: Faculty of Military Sciences, Netherlands Defence Academy, PO Box 10000, 1780 CA Den Helder, The Netherlands.

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