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

• Published in: Journal of mathematical fluid mechanics Vol. 25; no. 3
• Main Authors: Giorgini, Andrea, Knopf, Patrik
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.08.2023; Springer Nature B.V
• Subjects: Binary fluids; Boundary conditions; Classical and Continuum Physics; Conservation laws; Contact angle; Energy dissipation; Fluid flow; Fluid mechanics; Fluid- and Aerodynamics; Incompressible flow; Lagrange multiplier; Mass transfer; Mathematical Methods in Physics; Navier-Stokes equations; Physics; Physics and Astronomy; Surface diffusion; Theoretical mathematics; Two phase flow; Bulk–surface interaction; Two-phase flows; 76T99; 35Q35; 35D30; 76D03; Navier–Stokes–Cahn–Hilliard system; 76D05; Dynamic boundary conditions; 76T06

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 dif...