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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2016 Volume 28, Number 4, Pages 43–63 (Mi mm3719)

This article is cited in 1 paper

Plane two bodies problems in Stokes hydronamics

A. V. Karakina, M. M. Ramazanovb

a VNII Geosystem, State Scientific Center Russian Federation, Branch of "Rosgeolfond", Moscow
b Geothermal Research Institute of Dagestan Scientific Center of RAS, Makhachkala

Abstract: A plane hydrodynamic problem on interaction of two disks in the field of distant stresses is presented. The exact solutions for two types of remote stresses are obtained by method of series expansion. The equivalent forces and moments creating an analogous disk movement are calculated. Motion in time of particles in a pair related with the lubricating layer effect between them is investigated. These solutions can be used in the averaging suspension problem and in the physical and chemical hydrodynamics. One of number application is related with the proppant mechanics.

Keywords: suspension, rheology, microstructure, pair interaction, constraint.

Received: 15.09.2014



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