Derivation of a Closed Form Expression for Estimating the Reduced Flow Rate for Pressure Driven Rarefied Gas Flow Through Circular Nano/Micro Pores

Journal of Applied Membrane Science & Technology Pub Date : 2021-07-07 DOI:10.11113/AMST.V25N2.218

S. Hashemifard, T. Matsuura

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Abstract

In this paper, a new model to predict the gas flow rate through short tubes under rarefied condition based on the sigmoidal bahaviour of gas reduced flow rate (W) versus the rarefaction parameter (d) under rarefied condition was developed. The data produced by Varoutis et al. via Direct Simulation Monte Carlo (DSMC) method were utilised to obtain the model coefficients as functions of tube length to radius (w) and pressure ratio (Pr). Then, the model was tested against the published experimental data.There was a high degree of agreement between the model predictions and the experimental data. Moreover, the new model was capable to predict the reduced flow rate of rarefied systems, not only at free molecular region and hydrodynamic region, but also at transition region, hence covering all the Knudsen number domain within the utilised data. Therefore, the proposed model was capable to make predictions as well as meet all the criteria of the rarefied gas flow within the following conditions: 0

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压力驱动稀薄气体通过环形纳米/微孔时减小流量的封闭表达式推导

本文基于稀薄条件下气体减少流量W与稀薄参数d的s型关系，建立了稀薄条件下短管内气体流量的预测模型。利用Varoutis等人通过直接模拟蒙特卡罗(Direct Simulation Monte Carlo, DSMC)方法产生的数据，获得了管道长度与半径(w)和压力比(Pr)的函数模型系数。然后，根据已发表的实验数据对模型进行检验。在模型预测和实验数据之间有高度的一致性。此外，新模型不仅能够预测稀薄体系在自由分子区和水动力区以及过渡区的降低流量，从而覆盖了所利用数据的所有Knudsen数域。因此，该模型能够在0

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Journal of Applied Membrane Science & Technology

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