Thermal Lattice Boltzmann Method for micro-Poiseuille gas flow

Abstract

Abstract In this paper, the thermal Lattice Boltzmann Method (TLBM) is used to simulate a gas microflow. The simulated gas is confined within an inlet/outlet microchannel and driven by a constant inlet velocity Uin . The bottom wall temperature is taken to be equal zero while the top wall temperature is decreasing from 1 to 0. For consistent results velocity slip and temperature jump boundary conditions at the walls are used. The rarefaction effects given by the Knudsen number, on the velocity and temperature profile are investigated. The results obtained from the TLBM are compared with those obtained using the Finite Difference Method (FDM). In addition to the good agreement observed between the two methods, the results show an interesting sensitivity of velocity and temperature profiles with the gas rarefaction degree.