Lattice Boltzmann simulations of segregating binary fluid mixtures in shear flow

We apply lattice Boltzmann method to study the phase separation of a two-di mensional binary fluid mixture in shear flow. The algorithm can simulate sy stems described by the Navier-Stokes and convection-diffusion equations. We propose a new scheme for imposing the shear flow which has the advantage o f preserving mass and momentum conservation on the boundary walls without i ntroducing slip velocities. We study how the steady Velocity profile is rea ched. Our main results show the presence of two typical length scales in th e phase separation process, corresponding to domains with two different thi cknesses. (C) 2001 Elsevier Science B.V. All rights reserved.