THE BIVERS-YOSEPH CONDITION FOR INCOMPRESSIBLE FLUID FLOW IN THE VICINITY THE CRITICAL POINT OF THE BORDER WITH POROUS MEDIA
Abstract
This article deals with the problems with critical point fixed leakage of viscous liquid on the transparent plane in flat and axisymmetric cases situated perpendicular to the flow. In such flows tangential component of the field of speed of viscous liquid in critical points on the surface of transparent half-spa ce change. Obtained automodel solution and the considered model it is shown that the boundary condition on the boundary between the liquid and the environment is a condition Beavers-Joseph-Saffman.
About the Authors
Ju. N. Gordeev
National Research Nuclear University «MEPhI»
Russian Federation
Russian Federation
E. B. Sandakov
National Research Nuclear University «MEPhI»
Russian Federation
Russian Federation
References
1. Гольдштейн, Р.В., Гордеев Ю.Н., Чижов Ю.Л. Задача Кармана для вращающегося проницаемого диска // Изв. РАН/ МЖГ. 2012. №1. С. 72-80.
2. Шлихтинг, Г. Теория пограничного слоя. М.: Наука, 1974. 712 с.
3. Bevers, G.S., Joseph D.D. Boundary condition at a naturally permeable wall // J. Fluid Mech. 1967. V. 30. P. 197-207
4. Brincman, H.C. A calculation of the viscous force exerted by flowing fluid on a dense swarm of particles. Appl. Sci. Res. A.1, 27-34(1947).
5. Hiemenz, K. Die Grenzschicht an einem in den gleichformigen Flussigkeitsstrom einge-tauchen geraden Kreiszylinder// Diglers Polytech/ J/ 1911. V.326. P.321-324
6. Nield, D.A. The Beavers-Joseph Boundary Conditions and Related Matters: A Historical and Critical Note // Trans. Porous Med. 2009. 78.5370540.
7. Saffman, P. On the boundary conditions at the surface of a porous medium. Stud. AAppl. Math. 50, 93-101(1971).
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