Hydrodynamics of binary fluid phase segregation

Details Hydrodynamics of binary fluid phase segregation Hydrodynamics of binary fluid phase segregation

2002-08-21

arxiv.org/abs/cond-mat/0208421v3

Physical Review Letters 89, 235701 (2002)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.89.235701

Starting with the Vlasov-Boltzmann equation for a binary fluid mixture, we derive an equation for the velocity field $\bm{u}$ when the system is segregated into two phases (at low temperatures) with a sharp interface between them. $\bm{u}$ 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 $\bm{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.

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