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Unsteady sedimentation of a spherical solid particle in a viscous fluid

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Abstract

Sedimentation of spherical heavy solid particles from a state of rest in a highly viscous incompressible fluid is studied. With account of the Basset force, the problem is reduced to Cauchy’s problem for a linear integro-differential equation. An exact solution of this problem is found in the form of single-valued functions of a real variable, and simple asymptotic formulas are obtained. The sedimentation law determined is verified experimentally.

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Authors
  1. I. S. Vodop’yanov
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  2. A. G. Petrov
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  3. M. M. Shunderyuk
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Additional information

Original Russian Text © I.S. Vodop’yanov, A.G. Petrov, M.M. Shunderyuk, 2010, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2010, Vol. 45, No. 2, pp. 97–106.

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Vodop’yanov, I.S., Petrov, A.G. & Shunderyuk, M.M. Unsteady sedimentation of a spherical solid particle in a viscous fluid. Fluid Dyn 45, 254–263 (2010). https://doi.org/10.1134/S0015462810020109

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  • DOI: https://doi.org/10.1134/S0015462810020109

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