Abstract
The problem of hydrodynamic interaction between a laminar flow of a viscous fluid and a partially permeable spherical particle is formulated and solved analytically. The filtration flow inside the particle is assumed to obey the Darcy law. Expressions for the filtration flow velocity, drag, sedimentation velocity, and stream functions are obtained. The effect of the permeability of the particle on the flow characteristics is studied. Stream functions of the flow are constructed.
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References
I. O. Protod’yakonov, I. E. Lyublinskaya, and A. E. Ryzhkov, Hydrodynamics and Mass Transfer in Fluid-Solid Dispersed Systems [in Russian], Khimiya, Leningrad (1987).
P. G. Romankov and V. F. Frolov, Mass Transfer Processes of Chemical Technology [in Russian], Khimiya, Leningrad (1987).
L. D. Landau and E. M. Lifshits, Course of Theoretical Physics, Vol. 6: Fluid Mechanics, Pergamon Press, New York (1987).
N. E. Kochin, I. A. Kibel, and N. V. Rose, Theoretical Hydromechanics [in Russian], Vol. 2, Fizmatgiz, Moscow (1963).
O. V. Golubeva, Course on Mechanics of Continuous Media [in Russian], Vysshaya, Shkola, Moscow (1972).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 4, pp. 48–53, July–August, 2009.
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Shapovalov, V.M. Viscous fluid flow around a semipermeable particle. J Appl Mech Tech Phy 50, 584–588 (2009). https://doi.org/10.1007/s10808-009-0079-x
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DOI: https://doi.org/10.1007/s10808-009-0079-x