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本文推导了表达分子流稳定非平衡态碰壁率的积分方程。并对典型的圆柱型容器(长L,直径D,一端有粘着几率β的等效抽气面)编制了用计算机迭代求解该积分方程的程序。用10~K内存量的袖珍计算机以1%精度计算了某些L/D,β参数下,“均匀出气”和“底面出气”时碰壁率的分布。计算结果表明了各种参数下的状态和平衡态的偏离程度以及采用“收口抽气”可使这种偏离大大减少。计算还表明存在一个和L/D、β和源发射情况几乎无关的“准理想规管位置”,它对实际应用是有意义的。运用该方法还计算了分子通过内壁吸附分子的收口和敞口圆形管道时的“通过”“返回”和“吸收”几率。结果和蒙特卡洛法得到的很好一致。
In this paper, we derive the integral equation that expresses the steady non-equilibrium barrier of molecular flow. A program of iteratively solving the integral equation by computer was developed for a typical cylindrical vessel (L, D, equivalent suction surface β at one end). With the 10 ~ K memory of the pocket computer with 1% accuracy of some L / D, β parameters, “uniform gas” and “bottom out” when the collision wall distribution. The calculated results show that the deviations of state and equilibrium state under various parameters and the adoption of “suction” can greatly reduce this deviation. The calculations also show that there is a “quasi-ideal regulatory position” that has little to do with L / D, β and source emission conditions, which makes sense for practical applications. This method is also used to calculate the “pass”, “return” and “absorption” probability of molecules passing through the inner wall of the adsorbed molecules and the open circular duct. The results are in good agreement with the Monte Carlo method.