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

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.


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