Simulation of thermal micro-flow using lattice Boltzmann method with Langmuir slip model

Abstract

We discuss the implementation of the recently developed Langmuir slip model, which possesses a clearer physical picture than the popularly used Maxwell slip model, for the lattice Boltzmann (LB) method to capture velocity slip and temperature jump in microfluidics. The implementation of this scheme is straightforward even when boundary walls do not run coincidentally along the lattice grids. Some previous LB boundary schemes for macroscopic thermal flows can be naturally recovered from the present scheme when the Knudsen number Kn → 0 . The feasibility and the capability of the present scheme for thermal micro-flow simulations are explored by numerical experiments.