西南交通大学学报2013，Vol.48Issue(4)：731-737,7.DOI:10.3969/j.issn.0258-2724.2013.04.021
微尺度下气体在过渡区内流动的格子Boltzmann模拟
Lattice Boltzmann Simulation of Micro-scale Gas Flows in the Transitional Regime
摘要
Abstract
In order to study the flow characteristics of micro-scale gas in the transitional regime,the relationship between Knudsen number and dimensionless relaxation time was derived based on the gas kinetic theory and the effect of Knudsen layer.Computational formulas for the slip velocity on the wall and the bounce-back fraction were derived under a generalized second-order slip boundary condition using the boundary treatment method proposed by Succi.Then,a lattice Boltzmann model for microscale gas flows in the transitional regime was established,and the micro-scale Poiseuille flows in the transitional regime were simulated.Computational results show that when the rarefaction parameter is equal to 1.64,the computed dimensionless velocity profile is in good agreement with the dimensionless velocity profile given by Karniadakis in the whole transitional regime.The dimensionless velocity profile remains essentially a parabolic shape in the transitional regime.As Knudsen number increases,the dimensionless slip velocity rises in the boundary and falls in the center line.关键词
微尺度气体流动/格子Boltzmann模型/Knudsen数/滑移速度/过渡区/稀薄参数Key words
micro-scale gas flow/ lattice Boltzmann model/ Knudsen number/ slip velocity/transitional regime/ rarefaction parameter分类
航空航天引用本文复制引用
刘加利,张继业,张卫华..微尺度下气体在过渡区内流动的格子Boltzmann模拟[J].西南交通大学学报,2013,48(4):731-737,7.基金项目
国家自然科学基金资助项目(50823004) （50823004）
“十一五”国家科技支撑计划资助项目(2009BAG12A01-C12) （2009BAG12A01-C12）
铁道部科技研究开发计划资助项目(2008J013) （2008J013）
