Communications in Mathematical Sciences

The drift-flux asymptotic limit of barotropic two-phase two-pressure models

A. Ambroso, C. Chalons, F. Coquel, T. Galié, E. Godlewski, P. A. Raviart, and N. Seguin

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We study the asymptotic behavior of the solutions of barotropic two-phase two-pressure models, with pressure relaxation, drag force and external forces. Using Chapman-Enskog expansions close to the expected equilibrium, a drift-flux model with a Darcy type closure law is obtained. Also, restricting this closure law to permanent flows (defined as steady flows in some Lagrangian frame), we can obtain a drift-flux model with an algebraic closure law, in the spirit of Zuber-Findlay models. The example of a two-phase flow in a vertical pipe is described.

Article information

Commun. Math. Sci., Volume 6, Number 2 (2008), 521-529.

First available in Project Euclid: 1 July 2008

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 76T10: Liquid-gas two-phase flows, bubbly flows 35L60: Nonlinear first-order hyperbolic equations 35C20: Asymptotic expansions

two-phase flows drift-flux models asymptotic limit


Ambroso, A.; Chalons, C.; Coquel, F.; Galié, T.; Godlewski, E.; Raviart, P. A.; Seguin, N. The drift-flux asymptotic limit of barotropic two-phase two-pressure models. Commun. Math. Sci. 6 (2008), no. 2, 521--529.

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