 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 79, Issue 3 / 2015 | Next article >> |
| 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 |
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| << Previous article | Volume 79, Issue 3 / 2015 | Next article >> |
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