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Bulletin of State University of Education. Series: Physics and Mathematics

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ON THE CONDITIONS OF A VISCOUS LIQUID FLOW ON THE BOUNDARY OF THE FLUID-PERMEABLE SURFACE TAKING INTO ACCOUNT THE INERTIA EFFECTS FLUID

Abstract

Conditions on the boarder of viscous liquid and transparent surface in respect with the inertial effect of a liquid in a porous medium is in question. This problem has been considered in this article in terms of a revolving transparent disc on a surface of viscous incondensable liquid . Given problem is a generalization of a Karman’s classical problem about the revolving of a transparent disc Under the assumption that the flow in the porous disk is described by Brinkman, obtained automodel solution of the problem.

About the Authors

Ju. . Gordeev
National Research Nuclear University «MEPhI»
Russian Federation


E. . Sandakov
National Research Nuclear University «MEPhI»
Russian Federation


References

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4. Karman Th. Uber laminare und turbulente Reibung // ZAAM. 1921. V. 1. P. 233-252.

5. Neale G, Nader W. Practical significance of Brinkman extension of Darsy’s law: coupled parallel flow within a channel and a bounding porous medium // Canad. J. Chem. Eng. 1974. V. 52. P. 475-478.

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ISSN 2949-5083 (Print)
ISSN 2949-5067 (Online)