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Analytical Solution of Filling and Exhausting Process in a Pneumatic System

机译：气动系统中填充和排出过程的分析解

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The filling and exhausting processes in a pneumatic system are involved with many factors, and numerical solutions of many partial differential equations are always adapted in the study of those processes, which have been proved to be troublesome and less intuitive. Analytical solutions based on loss-less tube model and average friction model are found respectively by using fluid net theory, and they fit the experimental results well. The research work shows that: 1) Fluid net theory can be used to solve the analytical solution of filling and exhausting processes of pneumatic system, and 2) the result of loss-less tube model is close to that of average friction model, so loss-less tube model is recommended since it is simpler, and 3) the difference between filling time and exhausting time is determined by initial and final pressures, the volume of container and the section area of tube, and had nothing to do with the length of the tube.
机译：气动系统中的填充和排气过程涉及许多因素，许多部分微分方程的数值解随着这些过程的研究始终适用于这些过程，这些过程被证明是麻烦和不太直观的。通过使用流体网理论，分别发现基于损失管模型和平均摩擦模型的分析解决方案，它们符合实验结果。研究工作表明：1）流体网理论可用于解决气动系统填充和耗尽过程的分析解决方案，而且2）损失管模型的结果接近平均摩擦模型，因此损失建议使用的管模型，因为它更简单，并且3）填充时间和耗尽时间之间的差异由初始和最终压力，容器的体积和管的部分区域确定，并且与长度无关管。

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