Numerical modelling of microchannel gas flows in the transition flow regime using the cascaded lattice Boltzmann method

Abstract

In the CLB method, a Bosanquet-type effective viscosity is employed to account for the rarefaction effect on the gas viscosity. To gain accurate simulations and to match the Bosanquet-type effective viscosity, the combined bounce-back/specular-reflection boundary scheme with a modified second-order slip boundary condition is adopted in the CLB method. The present method is applied to study gas flow in a microchannel with periodic boundary condition and gas flow in a long microchannel (the ratio of the length to the height L/H=100) with pressure boundary condition over a wide range of Knudsen numbers. The influence of the rarefaction effect on the velocity profile, the mass flow rate, and the non-linear pressure deviation distribution along the long microchannel are investigated.

25 pages,7 figures

References in corpus (3)

• Nanoscale simulation of shale transport properties using the lattice Boltzmann method: permeability and diffusivity
• Incorporating Forcing Terms in Cascaded Lattice-Boltzmann Approach by Method of Central Moments
• Double MRT Thermal Lattice Boltzmann Method for Simulating Natural Convection of Low Prandtl Number Fluids