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Russian Academy of Sciences
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IssuesArchive of Issues2015-3pp.270-280

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

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P.R. Andronov and S.V. Guvernyuk, "The streamline flow around a permeable plate in a plane-parallel channel," J. Appl. Math. Mech. 79 (3), 270-280 (2015)
Year 2015 Volume 79 Issue 3 Pages 270-280
DOI 10.1016/j.jappmathmech.2015.09.007
Title The streamline flow around a permeable plate in a plane-parallel channel
Author(s) P.R. Andronov (Lomonosov Moscow State University, Institute of Mechanics, Moscow, Russia)
S.V. Guvernyuk (Lomonosov Moscow State University, Institute of Mechanics, Moscow, Russia, guv@imec.msu.ru)
Abstract An analytical solution of the problem of a symmetric streamline flow of an ideal incompressible fluid around a permeable plate in a plane-parallel channel is constructed. The boundary conditions on the plate correspond to the linear Darcy law and to the condition of the controlling action of the pore structure. The effect of the production of a distributed vorticity when a continuous medium flows through a permeable boundary is taken into account. An exact solution is obtained in a form containing a Schwarz integral. The relation between the resistance of the plate and its relative size and porosity is investigated. The result is used to construct a theory of combined permeability. A relation between the hydraulic loss coefficient and the physical parameters of the combined permeability containing porous and perforated elements is obtained in an explicit form.
Received 24 March 2014
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892815001094
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