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Numerical simulation of vortices with axial velocity deficits

Phys. Fluids 7, 549 (1995); doi:10.1063/1.868582

Issue Date: March 1995

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Saad Ragab
Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061

Madhu Sreedhar
Institute of Hydraulic Research, University of Iowa, Iowa City, Iowa 52242
Axial velocity deficit is a source of instability in vortices that may otherwise be stable. Temporal large-eddy simulation is performed to study the response of vortices with axial velocity deficits to random and controlled disturbances at high Reynolds numbers. The q vortex [Batchelor, J. Fluid Mech. 20, 321 (1964)] is used as a model of such vortices. When the vortex is linearly unstable, the disturbances grow and result in the appearance of large-scale helical sheets of vorticity. Later, these large-scale helical structures break up into small-scale filaments. Associated with the formation of the large-scale structures is a redistribution of both angular and axial momentum between the core and the surroundings. The redistribution weakens the axial velocity deficit in the core while strengthens the rigid-body-like rotation of the core. The emerging mean velocity profiles drive the vortex core to a stable configuration. The vortex eventually returns to a laminar state, with an insignificant decay in the tangential velocity, but with a much weakened axial velocity deficit. A direct numerical simulation obtained at a lower Reynolds number confirms the above conclusions. ©1995 American Institute of Physics.
History: Received 31 May 1994; accepted 31 October 1994
Permalink: http://link.aip.org/link/?PHFLE6/7/549/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.32.Cc
    Fluid dynamics Rotational flow and vorticity Vortex dynamics
  • 47.11.+j
    Fluid dynamics Computational methods in fluid dynamics
  • YEAR: 1995

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PUBLICATION DATA

ISSN:
1070-6631 (print)   1089-7666 (online)
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