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Vortex decay above a stationary boundary

Published online by Cambridge University Press:  28 March 2006

Albert I. Barcilon
Albert I. Barcilon
Affiliation:
Engineering Sciences Laboratory, Harvard University Present affiliations: Department of Meteorology, Massachusetts Institute of Technology and Department of Meteorology at Harvard University.
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Abstract

An attempt is made to understand the decay of a free vortex normal to a stationary, infinite boundary. For rapidly swirling flows in fluids of small viscosity, thin boundary layers develop along the rigid boundary and along the axis, the axial boundary layer being strongly influenced by the behaviour of the plate boundary. An over-all picture of the flow is sought, with only moderate success in the region far from the origin. Near the origin, the eruption of the plate boundary layer into the axial boundary layer is studied.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 27 , Issue 1 , 11 January 1967 , pp. 155 - 175
Copyright
© 1967 Cambridge University Press

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References

Barcilon, A. 1965a Secondary flow in a viscous vortex. Ph.D. Thesis, Harvard University.
Barcilon, A. 1965b Secondary flow in a viscous vortex. Tech. Rept, Department of Mathematics, Harvard University, Office of Naval Research Nonr-1866(34).
Benjamin, T. B. 1962 Theory of the vortex breakdown phenomenon J. Fluid Mech. 14, 593–629.Google Scholar
Goldstein, S. 1960 Lectures on Fluid Mechanics. London: Interscience.