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Close interaction between a vortex filament and a rigid sphere

Published online by Cambridge University Press:  26 April 2006

Gianni Pedrizzetti
Gianni Pedrizzetti
Affiliation:
Dipartimento di Ingegneria Civile, Università di Firenze, via S. Marta 3. 50139 Firenze, Italy
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Abstract

The evolution of a linear vortex filament close to a rigid sphere is investigated at high Reynolds number. The limiting evolution in an ideal flow, is analysed using a cutoff method and the results are compared with those of a singular vortex approach able to account for a viscous effect on the vortex structure evolution. The computed results show the creation of a closed vortex structure in ideal flow and also, at low Reynolds number, an unrealistic reattachment of the vortex to the surface of the body. The nature of the boundary-layer development, when the no-slip condition is satisfied, is calculated near the symmetry plane. The solutions show the development of an unsteady, vortex-driven, separating boundary layer with the three-dimensional separations dependent on the initial distance of the filament from the wall. All the solutions ultimately show a rapid growth of the secondary vorticity field near the surface and suggest an ejection from the boundary layer, followed by a strong viscous-inviscid interaction.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 245 , December 1992 , pp. 701 - 722
Copyright
© 1992 Cambridge University Press

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