Lattice Boltzmann simulations of segregating binary fluid mixtures in shear flow

Abstract

We apply lattice Boltzmann method to study the phase separation of a two-dimensional binary fluid mixture in shear flow. The algorithm can simulate systems described by the Navier-Stokes and convection-diffusion equations. We propose a new scheme for imposing the shear flow which has the advantage of preserving mass and momentum conservation on the boundary walls without introducing slip velocities. Our main results concern the presence of two typical lenght scales in the phase separation process, corresponding to domains with two different thicknesses. Our simulations at low viscosity confirm previous results only valid in the limit of infinite viscosity.

32 pages, 7 figures

References in corpus (3)

• Phase Separation under Shear in Two-dimensional Binary Fluids
• Two-scale competition in phase separation with shear
• Dynamics of Phase Separation under Shear: A Soluble Model

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• The need for inertia in nonequilibrium steady states of sheared binary fluids
• Thermal and hydrodynamic effects in the ordering of lamellar fluids