Stokes flow in a rectangular cavity with a cylinder

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© 1998 The Japan Society of Fluid Mechanics and IOP Publishing Ltd
, , Citation O S Galaktionov et al 1999 Fluid Dyn. Res. 24 81 DOI 10.1016/S0169-5983(98)00013-6

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Author affiliations

1 Institute of Hydromechanics, National Academy of Sciences, 252057 Kiev, Ukraine

2 Dutch Polymer Institute, Eindhoven Polymer Laboratories, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

3 Correspondence address: Department of Mechanical Engineering, building W.h. -1.141, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands. E-mail: gerrit@wfw.wtb.tue.nl

Dates

  1. Received 18 August 1997
  2. Accepted 20 March 1998

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1873-7005/24/2/81

Abstract

The Stokes flow in a rectangular cavity with two opposite fixed and two opposite moving walls and a (rotating) cylinder in the centre is investigated. This flow is used as a prototype flow for studying distributive mixing. A general analytical method of superposition is implemented. The method is illustrated with several examples of steady flow and the topology of the streamlines is discussed. Some typical examples of laminar mixing under periodic wall motion are examined.

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10.1016/S0169-5983(98)00013-6