Geodesic
Closure conditions for a one temperature non-equilibrium multi-component model of baer-nunziato type
M. Hantke1 ; S. Müller2
1 Institut für Mathematik, Martin-Luther-Universitat Halle Wittenberg, Theodor-Lieser-Str. 5, D-06120 Halle, Germany
2 Institut für Geometrie und Praktische Mathematik, RWTH Aachen University, Templergraben 55, D-52056 Aachen, Germany
ESAIM. Proceedings, Tome 66 (2019), pp. 42-60.

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A class of non-equilibrium models for compressible multi-component uids is investigated. These models are subject to the choice of interfacial pressures and interfacial velocity as well as relaxation terms for velocity, pressure and chemical potentials. Sufficient conditions are derived for these quantities that ensure meaningful physical properties such as a non-negative entropy production and thermodynamical stability as well as mathematical properties such as hyperbolicity. For the relaxation of chemical potentials a three-component model gas-water-vapor is considered.
DOI : 10.1051/proc/201966003

M. Hantke 1 ; S. Müller 2

1 Institut für Mathematik, Martin-Luther-Universitat Halle Wittenberg, Theodor-Lieser-Str. 5, D-06120 Halle, Germany
2 Institut für Geometrie und Praktische Mathematik, RWTH Aachen University, Templergraben 55, D-52056 Aachen, Germany 
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     author = {M. Hantke and S. M\"uller},
     title = {Closure conditions for a one temperature non-equilibrium multi-component model of baer-nunziato type},
     journal = {ESAIM. Proceedings},
     pages = {42--60},
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     volume = {66},
     year = {2019},
     doi = {10.1051/proc/201966003},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201966003/}
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M. Hantke; S. Müller. Closure conditions for a one temperature non-equilibrium multi-component model of baer-nunziato type. ESAIM. Proceedings, Tome 66 (2019), pp. 42-60. doi : 10.1051/proc/201966003. http://geodesic.mathdoc.fr/articles/10.1051/proc/201966003/

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