The drift-flux asymptotic limit of barotropic two-phase two-pressure models. (English) Zbl 1141.76065

Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas; Godlewski, Edwige; Raviart, Pierre-Arnaud; Seguin, Nicolas

Commun. Math. Sci. 6, No. 2, 521-529 (2008).

Summary: 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 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.

MSC:

76T10	Liquid-gas two-phase flows, bubbly flows
76M45	Asymptotic methods, singular perturbations applied to problems in fluid mechanics

Keywords:

pressure relaxation; Chapman-Enskog expansions; algebraic closure law; vertical pipe