Admissible Equations of State for Immiscible and Miscible Mixtures - Archive ouverte HAL Access content directly
Journal Articles ESAIM: Proceedings and Surveys Year : 2019

Admissible Equations of State for Immiscible and Miscible Mixtures

(1) , (2)
1
2

Abstract

This paper addresses the construction of admissible Equations of State (EoS) for compressible two-phase flows. We investigate two approaches. In the first one, the mixture is treated as a single fluid with a complex thermodynamic. Most of the time the available EoS are determined experimentally and are often incomplete EoS, i.e. we know only the pressure as a function of the volume and the temperature. We present here a general framework to compute a complete EoS based on such an incomplete EoS. In the second approach, each phase is depicted by its own EoS. Following the Gibbs formalism, the mixture entropy is the sum of the phasic entropies which achieves its maximum at equilibrium. Depending on the miscibility of the mixture, one gets different geometrical properties on the resulting mixture entropy. Eventually we address the coupling of mixture EoS with the dynamic of the fluid. Homogeneous Equilibrium and Relaxation Models (HEM and HRM) are introduced for an immiscible and a miscible two-phase mixture. Hyperbolicity is ensured taking advantage of the concavity properties of the mixture entropies.
Fichier principal
Vignette du fichier
2phases_proc.pdf (413.87 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01913810 , version 1 (06-11-2018)

Identifiers

Cite

Gloria Faccanoni, Hélène Mathis. Admissible Equations of State for Immiscible and Miscible Mixtures. ESAIM: Proceedings and Surveys, 2019, Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics, 66, pp.1-21. ⟨10.1051/proc/201966001⟩. ⟨hal-01913810⟩
217 View
424 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More