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Flow of fluids with substantially different mobilities through a porous medium in the presence of phase transitions: Boundary layer phenomena, spatial phase structures, and instability of the flow

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Abstract

A model of flow through a porous medium with phase transitions which permits an efficient qualitative investigation is proposed for two fluids with sharply different (high-contrast) mobilities. It is shown that the model problem of flow toward a unit sink is singularly perturbed and can be solved using analytic asymptotic matching methods. The nature of the singularity is associated with violation of the condition of the flow contrast in certain zones. The solution can be unstable depending on the direction of interphase mass transfer and the zone in which the process takes place.

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Authors
  1. M. B. Panfilov
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  2. N. N. Shilovich
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Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 124–135, March–April, 2000.

The work was carried out with support from the European Foundation INTAS (grant No. 94-4367) and the Russian Foundation for Basic Research (project No. 95-01-01179a).

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Panfilov, M.B., Shilovich, N.N. Flow of fluids with substantially different mobilities through a porous medium in the presence of phase transitions: Boundary layer phenomena, spatial phase structures, and instability of the flow. Fluid Dyn 35, 258–267 (2000). https://doi.org/10.1007/BF02831434

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