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Pré-Publication, Document De Travail Année : 2019

VAPOUR-LIQUID PHASE TRANSITION AND METASTABILITY

Résumé

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.
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Dates et versions

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

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  • HAL Id : hal-01973636 , version 1

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