Stokes flow in a rectangular cavity with a cylinder

O.S. Galaktionov; V.V. Meleshko; G.W.M. Peters; H.E.H. Meijer

doi:10.1016/S0169-5983(98)00013-6

Stokes flow in a rectangular cavity with a cylinder

O.S. Galaktionov, V.V. Meleshko, G.W.M. Peters, H.E.H. Meijer

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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.

Original language	English
Pages (from-to)	81-102
Journal	Fluid Dynamics Research
Volume	24
Issue number	2
DOIs	https://doi.org/10.1016/S0169-5983(98)00013-6
Publication status	Published - 1999

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title = "Stokes flow in a rectangular cavity with a cylinder",

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.",

author = "O.S. Galaktionov and V.V. Meleshko and G.W.M. Peters and H.E.H. Meijer",

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T1 - Stokes flow in a rectangular cavity with a cylinder

AU - Galaktionov, O.S.

AU - Meleshko, V.V.

AU - Peters, G.W.M.

AU - Meijer, H.E.H.

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

U2 - 10.1016/S0169-5983(98)00013-6

DO - 10.1016/S0169-5983(98)00013-6

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VL - 24

SP - 81

EP - 102

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

IS - 2

ER -

Stokes flow in a rectangular cavity with a cylinder

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