Geodesic
Sedimentation of a bidispersed cluster of solid spherical particles
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 66 (2020), pp. 77-85

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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, experimental study.
Mots-clés : gravitational sedimentation, drag coefficient 
@article{VTGU_2020_66_a5,
     author = {V. A. Arkhipov and S. A. Basalaev and N. N. Zolotorev and K. G. Perfil'eva},
     title = {Sedimentation of a bidispersed cluster of solid spherical particles},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {77--85},
     publisher = {mathdoc},
     number = {66},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2020_66_a5/}
}
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V. A. Arkhipov; S. A. Basalaev; N. N. Zolotorev; K. G. Perfil'eva. Sedimentation of a bidispersed cluster of solid spherical particles. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 66 (2020), pp. 77-85. http://geodesic.mathdoc.fr/item/VTGU_2020_66_a5/