Abstract
A flow model is derived for the numerical simulation of interfacial flows with phase transition. The model arises from the classical multi-component Euler equations, but is associated to a non-classical thermodynamic closure: each phase is compressible and evolves in its own subvolume, with phases sharing common pressure, velocity and temperature, leading to non-trivial thermodynamic relations for the mixture. Phase transition is made possible through the introduction of Gibbs free energy relaxation terms in the equations. Capillary effects and heat conduction—essential in boiling flows—are introduced as well. The resulting multi-phase flow model is hyperbolic, valid for arbitrary density jumps at interfaces as well as arbitrary flow speeds. Its capabilities are illustrated successively through examples of nozzle induced cavitation and heated wall induced boiling.
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Acknowledgements
Part of this work has been carried out in the framework of the Labex MEC (ANR-10-LABX-0092) and of the A*MIDEX project (ANR-11-IDEX-0001-02), funded by the Investissements d’Avenir French Government program managed by the French National Research Agency (ANR). We also acknowledge funding from ANR through project ANR-14-CE22-0014. Pr. Stéphane Barre (LEGI) is also gratefully acknowledged for providing the photographs of Fig. 8.
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Saurel, R., Le Métayer, O., Boivin, P. (2017). From Cavitating to Boiling Flows. In: d'Agostino, L., Salvetti, M. (eds) Cavitation Instabilities and Rotordynamic Effects in Turbopumps and Hydroturbines. CISM International Centre for Mechanical Sciences, vol 575. Springer, Cham. https://doi.org/10.1007/978-3-319-49719-8_10
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DOI: https://doi.org/10.1007/978-3-319-49719-8_10
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