_ Vol. 24 (2) (1999) pp. 81-102 _
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Fluid Dynamics Research, Vol. 24 (2) (1999) pp. 81-102
Copyright (c) 1998 Elsevier Science B.V. All rights reserved.
PII: S0169-5983(98)00013-6

Stokes flow in a rectangular cavity with a cylinder

O.S. Galaktionova, V.V. Meleshkoa, G.W.M. Petersb and H.E.H. Meijerb

a Institute of Hydromechanics, National Academy of Sciences, 252057 Kiev, Ukraine
b Dutch Polymer Institute, Eindhoven Polymer Laboratories, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

Received 18 August 1997; revised 13 February 1998; accepted 20 March 1998

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.

PACS Classification: 47.15.Gf; 47.15.Rq

Keyword(s): Stokes flow; Method of superposition; Laminar distributive mixing

Correspondence address

G.W.M. Peters: 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.
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