Chemical-potential-based Lattice Boltzmann Method for Nonideal Fluids

Abstract

Chemical potential is an effective way to drive phase transition or express wettability. In this letter, we present a chemical-potential-based lattice Boltzmann model to simulate multiphase flows. The nonideal force is directly evaluated by a chemical potential. The model theoretically satisfies thermodynamics and Galilean invariance. The computational efficiency is improved owing to avoiding the calculation of pressure tensor. We have derived several chemical potentials of the popular equations of state from the free-energy density function. An effective chemical-potential boundary condition is implemented to investigate the wettability of a solid surface. Remarkably, the numerical results show that the contact angle can be linearly tuned by the surface chemical potential.

14 pages,2 figures

References in corpus (4)

• Lattice Boltzmann methods for multiphase flow and phase-change heat transfer
• Mesoscopic modeling of a two-phase flow in the presence of boundaries: the Contact Angle
• Forcing scheme in pseudopotential lattice Boltzmann model for multiphase flows
• Contact angles in the pseudopotential lattice Boltzmann modeling of wetting

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