中文摘要：

在这篇论文，低马赫数字氦和氮流动 inmicro 隧道与入口的变化数字地被调查到插头压力比率，方面比率，外面由使用的压力和液体媒介不同基于连续统滑动模型。理论答案在不同顺序下面基于海军司烧方程的不安扩大被开发了滑动条件。有效性滑动模型被相应实验和 DSMC 方法在不同 Knudsen 数字检验了。模拟证明了有礼品的压缩的可能性，变成稀薄和热 creep 效果 onmicro 隧道流动的好预言滑动模型。更高的顺序相对滑动模型变成稀薄完成与作比较的减少一一阶滑倒模型。两个都， Knudsen，数字和 theReynolds 数字作为关键参数被识别了，它分别地管理变成稀薄效果和热 creep 效果。礼品滑动模型也被表明了为有 Knudsen 数字的微隧道的氮流动适当不到 0.15 ，并且更高的顺序滑动条件与 KAK0.08.However 在slip 流动政体改进海军司烧预言，基于连续统显著地滑动模型变成稀薄作为 Knudsen 数字在过渡流动政体完成的在预言下面超过 0.2 。

英文摘要：

In this paper, the low Mach number helium and nitrogen flows in micro-channels are investigated numerically with variations of inlet to outlet pressure ratios, aspect ratios, out pressures and fluid mediums by using different continuum-based slip models. Theoretical solutions based on perturbation expansions of the Navier-Stokes equations have been developed under different order slip conditions. The validity of slip models has been examined by the corresponding experiments and the DSMC method at different Knudsen numbers. Simulations have shown good predictions of the compressibility, rarefaction and thermal creep effects on micro-channel flows with the present slip models. The higher order slip models relatively decrease the rarefaction effects comparing with a first-order slip model. Both of the Knudsen number and the Reynolds number have been identified as key parameters, which govern the rarefaction effects and thermal creep effects, respectively. The present slip models have been also demonstrated to be appropriate for micro-channel nitrogen flows with the Knudsen number less than 0.15, and the higher order slip conditions improve the Navier-Stokes predictions in the slip flow regime with Kn〈0.08. However, the continuum-based slip models significantly under-predict the rarefaction effects in the transitional flow regime as the Knudsen number exceeds 0.2.