Diffusion in a multicomponent lattice Boltzmann equation model

Abstract

Diffusion phenomena in a multiple component lattice Boltzmann equation (LBE) model are discussed in detail. The mass fluxes associated with different mechanical driving forces are obtained using a Chapman-Enskog analysis. This model is found to have correct diffusion behavior and the multiple diffusion coefficients are obtained analytically. The analytical results are further confirmed by numerical simulations in a few solvable limiting cases. The LBE model is established as a useful computational tool for the simulation of mass transfer in fluid systems with external forces. \textcopyright{} 1996 The American Physical Society.