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Lattice Boltzmann simulations of segregating binary fluid mixtures in shear flow. (English) Zbl 0978.76071

Summary: 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 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 boundary walls without introducing slip velocities. We study how the steady velocity profile is reached. Our main results show the presence of two typical length scales in the phase separation process, corresponding to domains with two different thicknesses.

MSC:

76M28 Particle methods and lattice-gas methods
76R99 Diffusion and convection
76T99 Multiphase and multicomponent flows

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