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针对微通道中发生滑移流动的气体提出了一种滑移边界条件,用一个关于克努森数(Knudsen)的函数取代了传统滑移边界条件中的克努森数.此函数满足两个必要条件,首先当克努森数较小时,它与克努森数同阶;其次当克努森数趋于无穷时,函数值趋于1.采用该滑移边界条件推导了微通道中气体滑移流动时的压力分布解析式,并与文献中报导的实验值进行了比较.由于压力分布以通道出口处的压力作为均一化的标准,故出口处的无量纲压力值为1,进而对推导出的压力分布公式进行了修正,由修正公式计算出的结果与实验结果吻合得更好.
A slip boundary condition is proposed for the slip-flowing gas in the microchannel, replacing the Knudsen number in the traditional slip boundary condition with a Knudsen function, which satisfies two The necessary conditions, first of all, when the Knudsen number is small, it is the same order as the Knudsen number; secondly, when the Knudsen number tends to infinity, the function value tends to 1. Based on this slip boundary condition, the gas in the microchannel The pressure distribution at the time of the slip flow is compared with the experimental data reported in the literatures. Since the pressure distribution takes the pressure at the exit of the passage as the standard of homogenization, the dimensionless pressure at the exit is 1, The pressure distribution formula derived is revised, and the result calculated by the correction formula is in good agreement with the experimental result.