Volume 66, 2019Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics
|Page(s)||84 - 108|
|Published online||07 October 2019|
A homogeneous model for compressible three-phase flows involving heat and mass transfer.
EDF Research and Development, Fluid Mechanics, Energy and Environment Department, 6 quai Watier, 78400 Chatou, France
2 IMSIA, UMR 9219, ENSTA ParisTech-EDF-CNRS-CEA, Université Paris-Saclay, 828 Boulevard des Maréchaux, 91762 Palaiseau Cedex, France
3 IRMA, UMR CNRS 7501, 7 rue Descartes, 6 quai Watier, 67000 Strasbourg, France
A homogeneous model is proposed in order to deal with the simulation of fast transient three-phase ows involving heat and mass transfer. The model accounts for the full thermodynamical disequilibrium between the three phases in terms of pressure, temperature and Gibbs enthalpy. The heat and mass transfer between the phases is modeled in agreement with the second law of thermodynamics, which ensures a stable return to the thermodynamical equilibrium. The set of partial differential equations associated with this model is based on the Euler set of equations supplemented by a complex pressure law, and by six scalar-equations that allow to account for the thermodynamical disequilibrium. It therefore inherits a simple wave structure and possesses important mathematical properties such as: hyperbolicity, unique shock definition through Rankine-Hugoniot relations, positivity of the mixture fractions. Hence the computation of approximated solutions is possible using classical algorithms, which is illustrated by an example of simulation of a steam-explosion.
Key words: Homogeneous model / three-phase ows / heat transfer / mass transfer / steam explosion
© EDP Sciences, SMAI 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.