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Description of the Flows of Two-Phase Mixtures with Phase Transitions in Capillaries by the Density-Functional Method

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Abstract

The problem of mathematical modeling of flows of multicomponent mixtures with phase transitions has been considered. The free energy of a mixture is given as a functional containing squared density gradients of the components. This permits continuous description of multiphase mixtures without discontinuities at the interfaces. Numerical solutions for the flows of two-phase mixtures in capillaries with different wall wettability conditions have been obtained.

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Authors and Affiliations

  1. O. Yu. Schmidt Joint Institute of Earth Physics, Russian Academy of Sciences, 10 B. Gruzinskaya Str., Moscow, 123810, Russia

    O. Yu. Dinariev & N. V. Evseev

Authors
  1. O. Yu. Dinariev
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  2. N. V. Evseev
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 78, No. 3, pp. 61–67, May–June, 2005.

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Dinariev, O.Y., Evseev, N.V. Description of the Flows of Two-Phase Mixtures with Phase Transitions in Capillaries by the Density-Functional Method. J Eng Phys Thermophys 78, 474–481 (2005). https://doi.org/10.1007/s10891-005-0083-9

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  • DOI: https://doi.org/10.1007/s10891-005-0083-9

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