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Mathematical Problems in Engineering
Volume 2015, Article ID 169125, 7 pages
Research Article

On the Accelerated Settling of Fine Particles in a Bidisperse Slurry

1Tomsk State University, 36 Lenin Avenue, Tomsk 634050, Russia
2University of Erlangen-Nuremberg, 3 Paul-Gordan-Strasse, 91052 Erlangen, Germany
3Department of Natural Sciences, L.N. Gumilyov Eurasian National University, Munaitpasov Street 5, Astana 010008, Kazakhstan

Received 5 November 2014; Accepted 15 March 2015

Academic Editor: George S. Dulikravich

Copyright © 2015 Leonid L. Minkov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An estimation of increasing the volume average sedimentation velocity of fine particles in bidisperse suspension due to their capturing in the circulation zone formed in the laminar flow of incompressible viscous fluid around the spherical coarse particle is proposed. The estimation is important for an explanation of the nonmonotonic shape of the separation curve observed for hydrocyclones. The volume average sedimentation velocity is evaluated on the basis of a cellular model. The characteristic dimensions of the circulation zone are obtained on the basis of a numerical solution of Navier-Stokes equations. Furthermore, these calculations are used for modelling the fast sedimentation of fine particles during their cosedimentation in bidisperse suspension. It was found that the acceleration of sedimentation of fine particles is determined by the concentration of coarse particles in bidisperse suspension, and the sedimentation velocity of fine fraction is proportional to the square of the coarse and fine particle diameter ratio. The limitations of the proposed model are ascertained.