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Motion of particles in a nonstationary layered flow of an incompressible fluid

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Abstract

The motion of spherical particles in a nonstationary layered flow are considered. It is assumed that the fluid is incompressible and that the particles do not interact with one another or influence the parameters of the fluid. Allowance is made for the influence of the pressure gradient, the apparent mass, the Magnus force, and the viscosity of the fluid on the motion of the particles. The formulation of the problem corresponds to the conditions of motion of the two-phase mixture in the channels of the rotatory-pulsatory apparatus [1] used in technology to realize various processes such as solution, emulsification, dispersing, etc. The processes in such an apparatus are strongly nonsteady and have hitherto been hardly investigated at all.

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Translated from 'Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 53–58, July–August, 1981.

We thank A. R. Gurvich for making the calculations.

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Zhizhin, G.V., Onatskii, P.A. Motion of particles in a nonstationary layered flow of an incompressible fluid. Fluid Dyn 16, 531–536 (1981). https://doi.org/10.1007/BF01094595

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  • DOI: https://doi.org/10.1007/BF01094595

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