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Viscous fluid flow around a semipermeable particle
Authors:V.?M.?Shapovalov  author-information"  >  author-information__contact u-icon-before"  >  mailto:vtm@volpi.ru"   title="  vtm@volpi.ru"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Volgograd State Technical University, Volgograd, 400103, Russia
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. __________ Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 4, pp. 48–53, July–August, 2009.
Keywords:Stokes flow  filtration  viscosity  velocity  pressure
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