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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2020 Number 66, Pages 77–85 (Mi vtgu790)

MECHANICS

Sedimentation of a bidispersed cluster of solid spherical particles

V. A. Arkhipov, S. A. Basalaev, N. N. Zolotorev, K. G. Perfil'eva

Research Institute of Applied Mathematics and Mechanics of Tomsk State University, Tomsk, Russian Federation

Abstract: A new method for the experimental study of gravitational sedimentation of a polydisperse cluster of solid spherical particles in a viscous fluid is presented. The method is based on the preliminary ultrasonic mixing of the particles in a spherical container and assumes the introduction of a spherical cluster of particles at a given concentration and zero initial velocity into a fluid. This method is used to determine sedimentation characteristics of a bidisperse cluster of particles (steel balls, $2$ and $3$ mm in diameter) in silicone oil. A qualitative pattern of the cluster evolution, a sedimentation rate, and a drag coefficient are obtained. A comparative analysis of sedimentation characteristics of monodisperse and bidisperse particle clusters is carried out in the range of Reynolds numbers $\mathrm{Re}=(0.30 \div 0.66)\cdot 10^{-3}$. It is shown that, in contrast to a monodisperse cluster of particles, the drag coefficient of the bidisperse cluster of particles does not correspond to a correlation $C_D=24/\mathrm{Re}_c$ for the Stokes sedimentation.

Keywords: bidisperse particle cluster, gravitational sedimentation, drag coefficient, experimental study.

UDC: 532.5.01

Received: 22.12.2019

DOI: 10.17223/19988621/66/6



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