Abstract
A hyperbolic two-phase flow model involving five partial differential equations is built for liquid-gas interface modelling. The model is able to deal with interfaces of simple contact where normal velocity and pressure are continuous as well as transition fronts where heat and mass transfer occur, involving pressure and velocity jumps. These fronts correspond to extra waves into the system. The model involves two temperatures and entropies but a single pressure and a single velocity. The closure is achieved by two equations of state that reproduce the phase diagram when equilibrium is reached. Relaxation toward equilibrium is achieved by temperature and chemical potential relaxation terms whose kinetics is considered infinitely fast only at specific locations, typically at evaporation fronts. Doing so, metastable states are involved for locations far from these fronts. Specific numerical hyperbolic and relaxation solver are built to solve the non-conservative system. Computational tests are done in 1D and 2D and are compared to experimental observations.
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Saurel, R., Petitpas, F. (2007). A hyperbolic non equilibrium model for cavitating flows. In: d’Agostino, L., Salvetti, M.V. (eds) Fluid Dynamics of Cavitation and Cavitating Turbopumps. CISM International Centre for Mechanical Sciences, vol 496. Springer, Vienna. https://doi.org/10.1007/978-3-211-76669-9_8
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DOI: https://doi.org/10.1007/978-3-211-76669-9_8
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