Abstract
A variant of the cell model for describing a suspension of spherical particles in a viscous fluid is proposed. In contrast to the existing models, the requirement that the tangential component of the velocity reach a minimum with respect to the radial coordinate is imposed as additional condition on the cell surface. It is shown that this requirement corresponds to the physical pattern of flow around the system of particles. As a result, an expression is obtained for the drag of a particle in the system, and the rate of precipitation of suspensions and emulsions is calculated.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 154–157, July–August, 1979.
I thank Yu. P. Gupalo for suggesting the problem and discussing the results.
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Kvashnin, A.G. Cell model of suspension of spherical particles. Fluid Dyn 14, 598–602 (1979). https://doi.org/10.1007/BF01051266
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DOI: https://doi.org/10.1007/BF01051266