Formal derivation of an isentropic two-phase flow model from the multi-species Boltzmann equation
Abstract
Starting from the multi-species Boltzmann equation for a gas mixture, we propose the formal derivation of the isentropic two-phase flow model introduced in [Romenski, E., and Toro, E. F., Comput. Fluid Dyn. J., 13 (2004)]. We examine the asymptotic limit as the Knudsen numbers approach zero, in a regime characterized by resonant intra-species collisions, where interactions between particles of the same species dominate. This specific regime leads to a multi-velocity and multi-pressure hydrodynamic model, enabling the explicit computation of the coefficients for the two-phase macroscopic model. Our derivation also accounts for the inclusion of the evolution of the volume fraction, which is a key variable in many macroscopic multiphase models
Keywords
Cite
@article{arxiv.2506.13480,
title = {Formal derivation of an isentropic two-phase flow model from the multi-species Boltzmann equation},
author = {Gabriella Puppo and Thomas Rey and Tommaso Tenna},
journal= {arXiv preprint arXiv:2506.13480},
year = {2025}
}
Comments
23 pages, 3 figures