Zelenko, V. L.; Myasnikov, V. P. Structure of the interface between phases moving toward a sink. (English. Russian original) Zbl 0792.76084 Sov. Phys., Dokl. 37, No. 11, 534-536 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 327, No. 2, 201-204 (1992). The nonstationary two-dimensional problem of the displacement of an initially horizontal layer of viscous fluid by a second fluid which is inviscid, toward a sink located in the lower right-hand corner of a vertical container with a porous medium, is examined. The inertial effects and interphase tension are neglected. The Laplace equation in a domain with a complicated boundary was solved numerically using the boundary element method. The dynamics of the formation of fjords and protuberances in the interphase boundary is considered. In addition to the large-scale dendritic structure of the interphase surface, a microrelief may develop and lead to the appearance of fractal properties. Reviewer: R.Stavre (Bucureşti) MSC: 76T99 Multiphase and multicomponent flows 76S05 Flows in porous media; filtration; seepage 76M15 Boundary element methods applied to problems in fluid mechanics Keywords:inviscid fluid; viscous fluid; Laplace equation; formation of fjords and protuberances; large-scale dendritic structure; microrelief; fractal properties PDFBibTeX XMLCite \textit{V. L. Zelenko} and \textit{V. P. Myasnikov}, Sov. Phys., Dokl. 37, No. 11, 1 (1992; Zbl 0792.76084); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 327, No. 2, 201--204 (1992)