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A flow in the depth of infinite annular cylindrical cavity

Published online by Cambridge University Press:  25 September 2012

Vladimir Shtern
Vladimir Shtern*
Affiliation:
Shtern Research and Consulting, Houston, TX 77096, USA
*
†Email address for correspondence: vshtern40@gmail.com
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Abstract

The paper describes an asymptotic flow of a viscous fluid in an infinite annular cylindrical cavity as the distance from the flow source tends to infinity. If the driving flow near the source is axisymmetric then the asymptotic pattern is cellular; otherwise it is typically not. Boundary conditions are derived to match the asymptotic axisymmetric flow with that near the source. For a narrow cavity, the asymptotic solutions for the axisymmetric and three-dimensional flows are obtained analytically. For any gap, the flow is described by a numerical solution of an eigenvalue problem. The least decaying mode corresponds to azimuthal wavenumber .

JFM classification

Low-Reynolds-number flows: Low-Reynolds-number flows Wakes/Jets: Separated flows Low-Reynolds-number flows: Stokesian dynamics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 711 , 25 November 2012 , pp. 667 - 680
Copyright
Copyright © Cambridge University Press 2012

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