A simple turbulent two-fluid model

Jean-Marc Hérard; Hippolyte Lochon

doi:10.1016/j.crme.2016.10.010

A simple turbulent two-fluid model

Jean-Marc Hérard ^1,² ; Hippolyte Lochon ^3,⁴

¹ EDF Lab Chatou, 6 quai Watier, 78400 Chatou, France
² I2M, UMR CNRS 7373, Technopôle Château-Gombert, 39, rue Joliot Curie, 13453 Marseille, France
³ EDF Lab Saclay, 7 boulevard Gaspard Monge, 91120 Palaiseau, France
⁴ IMSIA, UMR EDF/CNRS/CEA/ENSTA 9219, Université Paris-Saclay, 828, boulevard des Maréchaux, 91762 Palaiseau, France

Comptes Rendus. Mécanique, Volume 344 (2016) no. 11-12, pp. 776-783.

Résumé

We present in this paper a simple turbulent two-phase flow model using the two-fluid approach. The model, which relies on the classical ensemble averaging, allows the computation of unsteady flows including shock waves, rarefaction waves, and contact discontinuities. It requires the definition of adequate source terms and interfacial quantities. The hyperbolic turbulent two-fluid model is such that unique jump conditions hold within each field. Closure laws for the interfacial velocity and the interfacial pressure comply with a physically relevant entropy inequality. Moreover, source terms that account for mass, momentum and energy interfacial transfer are in agreement with the entropy inequality. Particular attention is also given to the jump conditions when assuming a perfect gas equation of state within each phase; this enables us to recover expected bounds on the mean density through shock waves.

Reçu le : 2016-07-13
Accepté le : 2016-10-18
Publié le : 2016-11-01

DOI : 10.1016/j.crme.2016.10.010

Mots clés : Two-fluid model, Turbulence, Entropy inequality, Shocks

Affiliations des auteurs :

Jean-Marc Hérard ^{1, 2} ; Hippolyte Lochon ^{3, 4}

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Jean-Marc Hérard; Hippolyte Lochon. A simple turbulent two-fluid model. Comptes Rendus. Mécanique, Volume 344 (2016) no. 11-12, pp. 776-783. doi : 10.1016/j.crme.2016.10.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.10.010/

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