VAPOUR-LIQUID PHASE TRANSITION AND METASTABILITY - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

VAPOUR-LIQUID PHASE TRANSITION AND METASTABILITY

Abstract

The paper deals with the modelling of the relaxation processes towards thermodynamical equilibrium in a liquid-vapour isothermal mixture. Focusing on the van der Waals equation of state, we construct an 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.
Fichier principal
Vignette du fichier
Strasbourg.pdf (611.08 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01973636 , version 1 (08-01-2019)

Identifiers

  • HAL Id : hal-01973636 , version 1

Cite

Hala Ghazi, Francois James, Hélène Mathis. VAPOUR-LIQUID PHASE TRANSITION AND METASTABILITY. 2019. ⟨hal-01973636⟩
261 View
128 Download

Share

Gmail Facebook Twitter LinkedIn More