Issue |
ESAIM: ProcS
Volume 72, 2023
Fourth Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics
|
|
---|---|---|
Page(s) | 117 - 142 | |
DOI | https://doi.org/10.1051/proc/202372117 | |
Published online | 09 August 2023 |
Comparison of several complete cubic laws for two-phase flow models*
1
Université de Toulon - IMATH, EA 2134, avenue de l'Université, 83957 La Garde, France
e-mail: gloria.faccanoni@univ-tln.fr
2
Université Paris Cité, CNRS, MAP5, F-75006 Paris, France
e-mail: berenice.grec@u-paris.fr
In the present paper, we investigate several cubic equations of state widely used in the literature, for which we are able to construct analytically the complete law. In order to describe two-phase flows, we use Maxwell's construction, which amounts to consider pure phases and a mixture zone at saturation. The parameters appearing in the different equations of state are fitted in order to be precise in the saturation zone at high pressures. The different laws are then compared in a large range of pressures, showing the best accuracy of Clausius equation of state.
© EDP Sciences, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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