| Issue |
ESAIM: ProcS
Volume 66, 2019
Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics
|
|
|---|---|---|
| Page(s) | 22 - 41 | |
| DOI | https://doi.org/10.1051/proc/201966002 | |
| Published online | 07 October 2019 | |
Vapour-liquid phase transition and metastability
1
Laboratoire Jean Leray, Université de Nantes & CNRS UMR 6629, BP 92208, F-44322 Nantes Cedex 3, France
e-mail: hala.ghazi@univ-nantes.fr & helene.mathis@univ-nantes.fr
2
Institut Denis Poisson, Université d'Orléans, Université de Tours, CNRS UMR 7013, BP 6759, F-45067 Orléans Cedex 2, France
e-mail: james@math.cnrs.fr
The paper deals with the modelling of the relaxation processes towards thermodynamic equilibrium in a liquid-vapour isothermal mixture. Focusing on the van der Waals equation of state, we construct a constrained optimization problem using Gibbs' formalism and characterize all possible equilibria: coexistence states, pure phases and metastable states. Coupling with time evolution, we develop a dynamical system whose equilibria coincide with the minimizers of the optimization problem. Eventually we consider the coupling with hydrodynamics and use the dynamical system as a relaxation source terms in an Euler-type system. Numerical results illustrate the ability of the whole model to depict coexistence and metastable states as well.
© EDP Sciences, SMAI 2019
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