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Lattice Boltzmann models provide better understanding with mesoscopiceyesight on multi-component diffusion than macroscopic models. Based on thekinetic theory and starting from the He-Luo model, the state-of-the-artmulti-component diffusion Lattice Boltzmann models have defects of thecompressible error and the limitations for velocity and viscosity settings inlattice units. With these respects, a new Lattice Boltzmann model is presentedbased on the advection-diffusion equation and is coupled with theMaxwell-Stefan equation by relaxation time. Without introducing the pressureterm into the advection-diffusion equation, the model avoids the compressibleerror. Furthermore, the velocities for components are calculated in theMaxwell-Stefan equation and not contained in the equilibrium distributionfunction, the limitations of the velocity and viscosity settings in latticeunits for under-relaxation iterations are reduced. Then a simulation forH2-H2O-Ar ternary mass transport in the porous anode of the solid oxide fuelcell is employed to validate the accuracy of the Lattice Boltzmann model. Theconcentration overpotentials are calculated accordingly and compared to severalpublished continuum-scale and Lattice Boltzmann computations, among them, ourmodel offers a better consistency with the experimental measurments.

A combined approach of Lattice Boltzmann Method and Maxwell-Stefan equation for modeling multi-component diffusion in solid oxide fuel cell