We derive hydrodynamic equations describing the evolution of a binary fluid segregated into two regions, each rich in one species,which are separated (on the macroscopic scale) by a sharp interface. Our starting point is a Vlasov-Boltzmann (VB) equation describing the evolution of the one particle position and velocity distributions, f(i) (x, v, t), i = 1, 2. The solution of the VB equation is developed in a Hilbert expansion appropriate for this system. This yields incompressible Navier-Stokes equations for the velocity field u and a jump boundary condition for the pressure across the interface. The interface, in turn, moves with a velocity given by the normal component of u.

Bastea, S., Esposito, R., Lebowitz, J., Marra, R. (2006). Sharp interface motion of a binary fluid mixture. JOURNAL OF STATISTICAL PHYSICS, 124, 445-483 [10.1007/s10955-006-9040-z].

Sharp interface motion of a binary fluid mixture

MARRA, ROSSANA
2006-01-01

Abstract

We derive hydrodynamic equations describing the evolution of a binary fluid segregated into two regions, each rich in one species,which are separated (on the macroscopic scale) by a sharp interface. Our starting point is a Vlasov-Boltzmann (VB) equation describing the evolution of the one particle position and velocity distributions, f(i) (x, v, t), i = 1, 2. The solution of the VB equation is developed in a Hilbert expansion appropriate for this system. This yields incompressible Navier-Stokes equations for the velocity field u and a jump boundary condition for the pressure across the interface. The interface, in turn, moves with a velocity given by the normal component of u.
2006
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
Con Impact Factor ISI
Binary fluids; Interface evolution; Navier-Stokes equations; Phase segregation
Bastea, S., Esposito, R., Lebowitz, J., Marra, R. (2006). Sharp interface motion of a binary fluid mixture. JOURNAL OF STATISTICAL PHYSICS, 124, 445-483 [10.1007/s10955-006-9040-z].
Bastea, S; Esposito, R; Lebowitz, J; Marra, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/36533
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