Open Access
June 2008 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, N. Seguin
Commun. Math. Sci. 6(2): 521-529 (June 2008).


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.


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A. Ambroso. C. Chalons. F. Coquel. T. Galié. E. Godlewski. P. A. Raviart. N. Seguin. "The drift-flux asymptotic limit of barotropic two-phase two-pressure models." Commun. Math. Sci. 6 (2) 521 - 529, June 2008.


Published: June 2008
First available in Project Euclid: 1 July 2008

zbMATH: 1141.76065
MathSciNet: MR2435199

Primary: 35C20 , 35L60 , 76T10

Keywords: asymptotic limit , drift-flux models , two-phase flows

Rights: Copyright © 2008 International Press of Boston

Vol.6 • No. 2 • June 2008
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