FAST COMMUNICATION THE DRIFT-FLUX ASYMPTOTIC LIMIT OF BAROTROPIC TWO-PHASE TWO-PRESSURE MODELS ∗
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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