Two-phase flows through porous media described by a Cahn–Hilliard–Brinkman model with dynamic boundary conditions

URN to cite this document:: urn:nbn:de:bvb:355-epub-593412
DOI to cite this document:: 10.5283/epub.59341

Colli, Pierluigi ; Knopf, Patrik

; Schimperna, Giulio ; Signori, Andrea

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 07 Oct 2024 09:22

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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 ...