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Formal derivation of an isentropic two-phase flow model from the multispecies Boltzmann equation

Gabriella Puppo

Thomas Rey

Tommaso Tenna

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Phys. Rev. E 113, 034119 – Published 16 March, 2026

DOI: https://doi.org/10.1103/qph7-wc2m

Abstract

Starting from the multispecies Boltzmann equation for a gas mixture, we propose the formal derivation of the isentropic two-phase flow model introduced in E. Romenski, D. Drikakis, and E. Toro [J. Sci. Comput. 42, 68 (2010)]. We examine the asymptotic limit as the Knudsen numbers approach zero, in a regime characterized by resonant intraspecies collisions, where interactions between particles of the same species dominate. This specific regime leads to a multivelocity and multipressure 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.

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Phys. Rev. E 113, 034119– Published 16 March, 2026
  • Received 12 September 2025
  • Accepted 10 February 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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