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Vortex-flow regimes

Published online by Cambridge University Press:  20 April 2006

M. P. Escudier  and
N. Zehnder
M. P. Escudier
Affiliation:
Brown Boveri Research Centre, 5405 Baden-Dättwil, Switzerland
N. Zehnder
Affiliation:
Brown Boveri Research Centre, 5405 Baden-Dättwil, Switzerland
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Abstract

Analysis of a considerable body of new data, based upon flow-visualization experiments, reveals a simple criterion for the occurrence of vortex breakdown at a fixed location in a tube: ReB ∼ Ω-3 R−1, where Ω is the circulation number, R the ratio of the radial to tangential velocities in the inflow region, and ReB the pipe Reynolds number at which vortex breakdown occurs. The constant of proportionality is found to be practically independent both of the pipe flare angle α and the type of breakdown observed (bubble, spiral, etc.) although the latter is shown to depend on ReB. Theoretical support for the experimental results is derived from the analysis of Benjamin (1962) combined with similarity arguments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 115 , February 1982 , pp. 105 - 121
Copyright
© 1982 Cambridge University Press

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