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Thermodynamically consistent model of a multicomponent mixture with phase transitions

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Abstract

The paper considers a thermodynamically consistent model of compressible multicomponent mixtures with phase transitions. For the isothermal case, this enables one to obtain surfaces of phase equilibrium and other thermodynamic functions in analytic form. Use is made of simple model equations of state and the model Gibbs potential, which are known to adequately describe the phase behavior of solutions in some practically important range of parameters. Such a thermodynamically consistent model is convenient for the numerical simulation of the filtration of multicomponent solutions with phase transitions—in this way we achieve a significant reduction in the execution time and reliability of numerical computation, and also exclude some unphysical solutions.

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Authors and Affiliations

  1. Institute for Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia

    A. V. Koldoba

  2. Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119899, Russia

    E. V. Koldoba

Authors
  1. A. V. Koldoba
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  2. E. V. Koldoba
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Additional information

Original Russian Text © A.V. Koldoba, E.V. Koldoba, 2010, published in Matematicheskoe Modelirovanie, 2010, Vol. 22, No. 4, pp. 147–154.

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Koldoba, A.V., Koldoba, E.V. Thermodynamically consistent model of a multicomponent mixture with phase transitions. Math Models Comput Simul 2, 782–787 (2010). https://doi.org/10.1134/S207004821006013X

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  • DOI: https://doi.org/10.1134/S207004821006013X

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