We study the Riemann problem for a model of three-phase fluid flow: liquid, vapor and a mixture of them. The model is constituted by a system of two conservation laws in one space dimension with the addition of an equation prescribing the ranges of the states. Metastable regions are present both in the liquid and in the vapor phases. The existence and uniqueness of solutions to the Riemann problem for arbitrary data is proved by means of admissibility conditions; these conditions are deduced by properties of the travelling waves of an augmented system involving viscosity, relaxation and species diffusion.
The Riemann problem for a three-phase flow
CORLI, Andrea;
2004
Abstract
We study the Riemann problem for a model of three-phase fluid flow: liquid, vapor and a mixture of them. The model is constituted by a system of two conservation laws in one space dimension with the addition of an equation prescribing the ranges of the states. Metastable regions are present both in the liquid and in the vapor phases. The existence and uniqueness of solutions to the Riemann problem for arbitrary data is proved by means of admissibility conditions; these conditions are deduced by properties of the travelling waves of an augmented system involving viscosity, relaxation and species diffusion.File in questo prodotto:
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