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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v23.i3-4.30
pages 207-213

The Axisymmetric Stokes Flow in a Finite Cylinder with Three Annular Disks

A. M. Gomilko
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
V. S. Malyuga
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

RÉSUMÉ

The problem of steady-state axisymmetric Stokes flow in a finite cylinder with three rigid, thin coaxial disks is analyzed. The liquid flow is induced by a uniform axial motion of the lateral surface of the cylinder, simultaneous with rotation of the entire cylinder. The corresponding boundary-value problem for the Stokes system is reduced by means of the method of superposition and of the theory of hydrodynamic potentials to an infinite set of linear algebraic equations. The numerical analysis includes investigation of the kinematics and mixing of the liquid.