Abstract
The article is a continuation of the investigations of a number of authors [1–3] on the advance of the interface between different liquids: it gives a solution of the problem in the case of one-dimensional filtration of liquids with different viscosities in distorted layers of variable permeability; it indicates a method for determining the interface between “multicolored” liquids, and the method is generalized for the case of a series of two-dimensional flows, connected by a conformai transformation. The article discusses problems that reduce to formation of the functions determining the flow, and to calculation of the integrals.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 185–191, September–October, 1971.
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Golubeva, O.V., Petrov, N.P. Advance of the interface of liquids with pressure filtration. Fluid Dyn 6, 903–909 (1971). https://doi.org/10.1007/BF01013878
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DOI: https://doi.org/10.1007/BF01013878