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Phase discontinuities in water flows through a porous medium

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Abstract

Flow of a fluid through a porous medium is considered with allowance for heat conduction processes and phase transitions. Discontinuities in flows between both single-phase zones saturated with water and steam and single-and two-phase zones saturated with an equilibrium steam-water mixture are studied. It is shown that only the evaporation fronts are evolutionary for a convex-downward shock adiabat of the discontinuity inside the steam-water mixture. The structure of these fronts is considered and a condition supplementary to the conservation laws and necessary for the well-posed formulation of problems whose solution contains this front is found from the condition of existence of a discontinuity structure between the water (steam) and the steam-water mixture.

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Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, 2006, pp. 100–111.

Original Russian Text Copyright © 2006 by Afanas’ev and Barmin.

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Afanas’ev, A.A., Barmin, A.A. Phase discontinuities in water flows through a porous medium. Fluid Dyn 41, 574–584 (2006). https://doi.org/10.1007/s10697-006-0075-2

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  • DOI: https://doi.org/10.1007/s10697-006-0075-2

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