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On solutions relating to conical vortices over a plane wall

Published online by Cambridge University Press:  26 April 2006

C. Sozou
C. Sozou
Affiliation:
Department of Applied and Computational Mathematics, The University, Sheffield S10 2TN, UK
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Abstract

It is shown that certain similarity solutions relating to axisymmetric vortices in a viscous fluid over a plane wall can be associated with a point source or sink of vorticity at the origin and a line vortex along the symmetry axis of the system. The rotationality of the nonlinear terms in the momentum equation, due to the radial vorticity and the azimuthal flow field, induces a poloidal flow which relates to one-cell or two-cell configurations. It is shown that a small imput of radial vorticity into a strong line vortex can induce an intense up-draught. There are ranges of values of the parameters yielding two solutions. The extremeties of these ranges are associated with values that yield velocity breakdown.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 244 , November 1992 , pp. 633 - 644
Copyright
© 1992 Cambridge University Press

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Footnotes

With an Appendix by M. A. Goldshtik and V. N. Shtern

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