Abstract
For simulating immiscible two-phase flow and easily adjusting surface tension and thickness of diffused interface to desired values, a lattice-Boltzmann model based on the van-der-Waals-Cahn-Hilliard theory is improved by (a) introducing two parameters in a surface free energy and (b) adopting a particle number density function at a local equilibrium state for the convection term of the lattice Boltzmann equation. From the simulations of neutrally-buoyant drops in simple shear flows, it is confirmed that (1) the improved model can give good predictions for deformation and breakup of single drops, (2) the critical Reynolds number at which drop breakup takes place depends not only on the capillary number and the drop number density but also on the initial spatial arrangement of drops, (3) the pressure at the throat section of dumbbell-like drop immediately before breakup is higher than that at the edge of ellipsoidal-shaped drop.
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