Two-phase flows through porous media described by a Cahn–Hilliard–Brinkman model with dynamic boundary conditions
Pierluigi Colli,
Patrik Knopf,
Giulio Schimperna
et al.
Abstract:We investigate a new diffuse-interface model that describes creeping two-phase flows (i.e., flows exhibiting a low Reynolds number), especially flows that permeate a porous medium. The system of equations consists of a Brinkman equation for the volume averaged velocity field and a convective Cahn–Hilliard equation with dynamic boundary conditions for the phase field, which describes the location of the two fluids within the domain. The dynamic boundary conditions are incorporated to model the interaction of th… Show more
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