基于DSMC方法的微槽道流滑移系数研究

New slip coefficient of micro-channel flows based on DSMC method

采用直接模拟Monte Carlo(DSMC)方法模拟微槽道气体流动,根据处于滑移流的DSMC速度分布数据,得到统一滑移模型的新滑移系数,建立新的滑移模型.运用扰动分析理论得到二维Navier-Stokes(N-S)方程的速度分布、压力分布和质量流率表达式.在不同算例中,将新滑移模型下的扰动分析解分别与Cercignani模型和Schamberg模型比较,同时在出口克努森数(Kno)大于0.1的算例中添加DSMC结果作为比较,评估带新滑移模型的N-S方程对微槽道流动的预测能力.

Several micro-channel flows cases are simulated using direct simulation Monte Carlo （DSMC） method. In transition region, the new slip model is obtained based on the transverse velocity data of DSMC results. The perturbation analysis is employed to solve two-dimensional Navier-Stokes equation under slip boundary condition and thus the function expressions of velocity, pressure and mass flow rate are derived. The new slip model＇s capability of predicting micro-channel flows is accessed by comparing Cercignani and Schamberg slip models of all cases, as well as the DSMC results at the outlet Knudsen number （Kno） exceeding 0.1.