微通道内气体流动的DSMC模拟  

DSMC Simulation on Gas Fluid in Microchannels

作　　者：杨宪章[1] 魏守水[1] 何晓川[1] 

机构地区：[1]山东大学控制科学与工程学院,济南250061

出　　处：《武汉理工大学学报》2009年第13期99-103,共5页Journal of Wuhan University of Technology

基　　金：国家自然科学基金(10572078);山东省自然科学基金(Y2007A16)

摘　　要：分析了求解微通道内的气体流动的各种方法,用直接模拟蒙特卡洛方法(DSMC)计算了微气体流动中最经典的Couette流动问题。结果表明:在滑流区和过渡区速度滑移和温度跳跃现象明显;滑移速度、剪切力和温度跳跃量均随Kn数增大而增大,滑移速度和剪切力增长速度递减;仿真结果与线性化Boltzmann方程数值解一致,适用范围较滑移边界条件下的N-S方程解析解宽;DSMC方法对高Kn数下微通道气体流动的仿真易于实现,正确有效。Various methods of solving gas fluid in micro-channels are analyzed, and the direct simulation Monte Carlo （DSMC） method is used to simulate the Couette flow, which is the most classical gas micro-flow. The results show that the phenomena of velocity slip and temperature jump are obvious in the slip flow and transition regimes. The values of the slip velocity, shearine stress and temperature jump increase along with Kn increasing, and the increasing velocities of the two former paremeters decrease. The simulation results using DSMC agree well with the numerical solutions to linearized Boltzmann equation and are more applicable than the analytical solutions to N-S equation in slip boundary conditions. The DSMC method is accurate, effective and easy to carry out in the simulation on gas fluid in micro-channels.

关 键 词：微气体流动 DSMC方法 N—S方程 BOLTZMANN方程 COUETTE流动 

分 类 号：V211.25[航空宇航科学与技术—航空宇航推进理论与工程]