Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions

URN to cite this document:: urn:nbn:de:bvb:355-epub-544235
DOI to cite this document:: 10.5283/epub.54423

Giorgini, Andrea ; Knopf, Patrik

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 04 Jul 2023 06:38

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Abstract

We derive a novel thermodynamically consistent Navier–Stokes–Cahn–Hilliard system with dynamic boundary conditions. This model describes the motion of viscous incompressible binary fluids with different densities. In contrast to previous models in the literature, our new model allows for surface diffusion, a variable contact angle between the diffuse interface and the boundary, and mass transfer ...