Hydrodynamics of binary fluid phase segregation.
Starting with the Vlasov-Boltzmann equation for a binary fluid mixture, we derive an equation for the velocity field u when the system is segregated into two phases (at low temperatures) with a sharp interface between them. 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 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.
Bastea
Sorin
S
Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, California 94550, USA.
Esposito
Raffaele
R
Lebowitz
Joel L
JL
Marra
Rossana
R