Nonisothermal immiscible compressible thermodynamically consistent two-phase flow in porous media

Mladen Jurak; Alexandre Koldoba; Andrey Konyukhov; Leonid Pankratov

doi:10.1016/j.crme.2019.11.015

Nonisothermal immiscible compressible thermodynamically consistent two-phase flow in porous media

Mladen Jurak ¹ ; Alexandre Koldoba ²; Andrey Konyukhov ^2,³; Leonid Pankratov ²

¹ Faculty of Science, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia
² Laboratory of Fluid Dynamics and Seismic, Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region 141700, Russian Federation
³ Joint Institute for High Temperatures of the Russian Academy of Sciences, Izborskaya 13 Bldg. 2, Moscow 125412, Russian Federation

Comptes Rendus. Mécanique, Volume 347 (2019) no. 12, pp. 920-929.

Abstract

In this paper, we introduce a new model of the nonisothermal immiscible compressible thermodynamically consistent two-phase flow in a porous domain Ω. This model includes the term describing the skeleton and interphase boundary energies. In the framework of the model, we derive the equation for the entropy function in the whole Ω and then obtain the estimate of the maximal entropy of the system.

Received: 2019-07-30
Accepted: 2019-11-05
Published online: 2019-11-15

DOI: 10.1016/j.crme.2019.11.015

Keywords: Nonisothermal two-phase flow, Compressible fluids, Entropy

Author's affiliations:

Mladen Jurak ¹; Alexandre Koldoba ²; Andrey Konyukhov ^{2, 3}; Leonid Pankratov ²

¹ Faculty of Science, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia
² Laboratory of Fluid Dynamics and Seismic, Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region 141700, Russian Federation
³ Joint Institute for High Temperatures of the Russian Academy of Sciences, Izborskaya 13 Bldg. 2, Moscow 125412, Russian Federation

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     author = {Mladen Jurak and Alexandre Koldoba and Andrey Konyukhov and Leonid Pankratov},
     title = {Nonisothermal immiscible compressible thermodynamically consistent two-phase flow in porous media},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {920--929},
     publisher = {Elsevier},
     volume = {347},
     number = {12},
     year = {2019},
     doi = {10.1016/j.crme.2019.11.015},
     language = {en},
}

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%A Andrey Konyukhov
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%J Comptes Rendus. Mécanique
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Mladen Jurak; Alexandre Koldoba; Andrey Konyukhov; Leonid Pankratov. Nonisothermal immiscible compressible thermodynamically consistent two-phase flow in porous media. Comptes Rendus. Mécanique, Volume 347 (2019) no. 12, pp. 920-929. doi : 10.1016/j.crme.2019.11.015. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.11.015/

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