Title
A Darcy law for the drift velocity in a two-phase flow model
Abstract
This work deals with the design and numerical approximation of an Eulerian mixture model for the simulation of two-phase dispersed flows. In contrast to the more classical two-fluid or Drift-flux models, the influence of the velocity disequilibrium is taken into account through dissipative second-order terms characterized by a Darcy law for the relative velocity. As a result, the convective part of the model is always unconditionally hyperbolic. We show that this model corresponds to the first-order equilibrium approximation of classical two-fluid models. A finite volume approximation of this system taking advantage of the hyperbolic nature of the convective part of the model and of the particular structural form of the dissipative part is proposed. Numerical applications are presented to assess the capabilities of the model.
Year
DOI
Venue
2007
10.1016/j.jcp.2007.02.025
J. Comput. Physics
Keywords
Field
DocType
chapman–enskog expansion,convective part,first-order equilibrium approximation,two-phase flows,drift-flux,two-phase flow model,darcy law,drift-flux model,classical two-fluid model,riemann solver,eulerian mixture model,dissipative part,classical two-fluid,bubbly flows,finite volume approximation,drift velocity,numerical approximation,model corresponds,finite volume,mixture model,second order,two phase flow,mathematical models,mixtures,first order,velocity,fluids
Darcy's law,Mathematical analysis,Dissipative system,Two-fluid model,Mathematical model,Relative velocity,Finite volume method,Two-phase flow,Mathematics,Drift velocity
Journal
Volume
Issue
ISSN
224
1
Journal of Computational Physics
Citations 
PageRank 
References 
1
0.78
1
Authors
2
Name
Order
Citations
PageRank
Hervé Guillard122.19
F. Duval210.78