本文提出了求解微流动Navier-Stokes方程的扩展二阶滑移边界条件。该边界条件依赖一个有效的分子平均自由程,并考虑了气体分子与壁面碰撞的影响,能够刻画Knudsen层内的流动。基于该边界条件,对微通道内的气体流动进行了研究,计算结果与实验数据和其他理论结果相吻合。
An extended second-order slip boundary condition is proposed for solving the Navier-Stokes equations for microscale flows. The boundary condition depends on an effective mean-free-path where the gas-wall interaction is considered, and it can capture the flow within the Knudsen layer. With this boundary condition, the gas ftow in a micro channel is studied and the results are compared with experimental and theoretical results.