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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2008 Volume 4, Number 4, Pages 467–481 (Mi nd249)

This article is cited in 6 papers

Non-stationary viscous flow around of two spheres

N. I. Konovalovaa, S. I. Martynovb

a Mordovian State University
b Ugra State University

Abstract: The problem of non-stationary viscous flow around of two spheres is considered. Hydrodynamic interaction of particles taken into account. The solution of problem was obtained in terms of small parameter. The forces and torques exerting on spheres was calculated. Results was used for analysis of possibility to obtain the expressions for average force and torque in mixture in terms of volume concentration of hight degree. The general solution of problem for viscous flow around more than two spheres is given.

Keywords: non-stationary viscous flow, two spheres, hydrodynamic interaction, general solution.

UDC: 532.529:541.182

MSC: 76D07, 74F20

Received: 29.01.2008



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