Hydrodynamics of binary fluid phase segregation

Abstract

Starting with the Vlasov-Boltzmann equation for a binary fluid mixture, we derive an equation for the velocity field $\mathbf{u}$ when the system is segregated into two phases (at low temperatures) with a sharp interface between them. $\mathbf{u}$ satisfies the incompressible Navier-Stokes equations together with a jump boundary condition for the pressure across the interface which, in turn, moves with a velocity given by the normal component of $\mathbf{u}$. Numerical simulations of the Vlasov-Boltzmann equations for shear flows parallel and perpendicular to the interface in a phase segregated mixture support this analysis. We expect similar behavior in real fluid mixtures.

7 pages, 3 figures

References in corpus (1)

• Binary Fluids with Long Range Segregating Interaction I: Derivation of Kinetic and Hydrodynamic Equations

Cited by in corpus (4)

• Fluctuating Multicomponent Lattice Boltzmann Model
• Phase segregation and interface dynamics in kinetic systems
• Lattice Boltzmann Simulations of Non-Equilibrium Fluctuations in a Non-Ideal Binary Mixture
• Mesoscopic simulation study of wall roughness effects in micro-channel flows of dense emulsions