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Asymptotic form of the solution to the problem of multicomponent mixture flow through a porous medium with a boundary layer

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Abstract

In problems of two-phase mixture flow through a porous medium in a subterranean stratum a boundary layer phenomenon arises caused by the fact that relative phase motion exists in the system, and so having no analogy with the single-phase case. The physical nature of boundary layer phenomena is explained, and an asymptotic solution is constructed for the self-similar problem with an arbitrary number of components in the system, by using the method of matched asymptotic forms. The conditions are established for the motions of a multicomponent and a binary mixture to be equivalent, and a study is made of the role of convective factors in the formation of averaged working indices for the stratum.

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Literature cited

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 94–100, July–August, 1985.

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Panfilov, M.B. Asymptotic form of the solution to the problem of multicomponent mixture flow through a porous medium with a boundary layer. Fluid Dyn 20, 574–580 (1985). https://doi.org/10.1007/BF01049892

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  • DOI: https://doi.org/10.1007/BF01049892

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