采用26阶矩方程方法对稀薄气体在平板微通道与微圆通道中压力驱动的Poiseuille流动进行数值分析，获得稀薄气体在微通道内的速度分布、压力分布规律。数值分析结果表明：气体压力在微通道中沿主流方向呈非线性分布，且非线性程度随Kn数的增大而减小，分布趋势随Kn数的改变产生微小的变化；随Kn数的增大，微圆通道中气体沿径向速度分布出现双峰现象。研究结果与DSMC方法及格子-Boltzmann方法对比符合较好。
The pressure-driven Poiseuille flow of a rarefied gas in micro-channel and micro-tube is analyzed by the 26 moments method, and the profiles of velocity and pressure are obtained. Numerical analysis shows the deviation of the pressure distribution from a linear pressure. The larger the Kn number, the smaller deviation of the pressure. For the micro-tube, when the Kn number increases, there appears two peaks in the distribution of the streamwise velocity. The numerical results are in good agreement with available DSMC and LBM data.
参考文献
| [1] | Tang, GH;Zhang, YH;Gu, XJ;Emerson, DR .Lattice Boltzmann modelling Knudsen layer effect in non-equilibrium flows[J].Europhysics Letters,2008(4):40008-1-40008-6-0. |
| [2] | Haibo Huang;T. S. Lee;C. Shu .Lattice Boltzmann method simulation gas slip flow in long microtubes[J].International journal of numerical methods for heat and fluid flow,2007(6):587-607. |
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