Koltunov A.A., Chernyshev I.V. Spreading of the liquid drop on the nonuniform saturated porous layer

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Koltunov Alexander Alexandrovich
 
Master Student in “Applied Mathematics and Informatics”, Volgograd State University
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Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation
 
Chernyshev Igor Viktorovich
Candidate of Physics and Mathematics, AssociateProfessor, Chair of Fundamental Information Scienceand Optimal Control, Volgograd State University
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Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. The tho-dimensional problem of spreading and imbibition of a liquid drop over a porous layer is considered. Mathematical model takes into account the nonhomogeneity of porous medium and slip boundary condition on the liquid - porous interface. The numerical results of the droplet evolution in time are demonstrated for different variants of permeability distribution of a porous layer.

Keywords: nonuniform porous layer, drop, spreading, imbibition, lubrication approximation.

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Spreading of the liquid drop on the nonuniform saturated porous layer by Koltunov A.A., Chernyshev I.V. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №1 (16) 2012 pp. 27-35