Sharp interface motion of a binary fluid mixture

被引:0
作者
Bastea, Sorin
Esposito, Raffaele
Lebowitz, Joel L.
Marra, Rossana
机构
[1] Lawrence Livermore Natl Lab, Livermore, CA 94550 USA
[2] Univ Aquila, Dipartimento Matemat, I-67100 Laquila, Italy
[3] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
[4] Rutgers State Univ, Dept Phys, New Brunswick, NJ 08903 USA
[5] Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy
[6] Ist Nazl Fis Nucl, I-00133 Rome, Italy
关键词
interface evolution; Navier-Stokes equations; binary fluids; phase segregation;
D O I
10.1007/s10955-006-9040-z
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
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页码:445 / 483
页数:39
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