压力驱动的毛细管内气体流动特性数值研究

Numerical Research on Characteristic of Pressure-driven Gas Flow in Capillary

  • 摘要: 安全壳缝隙内气溶胶的输运与滞留与缝隙内的气体流动密切相关。为利用现有的气溶胶穿透系数关系式评估事故后缝隙内的气溶胶滞留效率,以毛细管为代表性缝隙,基于一维可压缩绝热流动方程提出了一种压力驱动的气体流动计算方法,能够计算气流的亚音速、临界音速与壅塞状态。采用代表性的毛细管流动特性实验和计算流体力学(CFD)方法对本文提出的计算方法进行验证,结果显示流动变化趋势一致,气体流量与实验值相比绝大部分偏差小于10%,证明了一维计算方法的准确性与合理性,且效率优于CFD方法。在此基础上分析了毛细管两侧压差和内径对气体流动的影响,得到了不同内径毛细管内质量流量随压差的变化规律。本文研究结果可以为缝隙内气溶胶的滞留评估奠定技术基础,后续将拓展该计算方法至压力驱动的毛细管内多组分气体流动的模拟。

     

    Abstract: The transport and retention of aerosols in the containment gap are closely related to the gas flow in the cracks. In order to evaluate the aerosol retention efficiency in the cracks after an accident by the existing aerosol penetration coefficient relationships, taking the capillary as the representative crack, a methodology for pressure difference driven gas flow calculation was proposed based on the one-dimensional compressible adiabatic flow equation, and the calculation program was compiled based on FORTRAN language. The input parameters of the program were capillary upstream pressure and temperature, downstream pressure, capillary length, inner diameter and roughness. When calculating the resistance, the classical laminar resistance relationship and turbulent Colebrook relationship were adopted, and the form resistance coefficients at the inlet and outlet of the capillary were 0.5 and 1.0 respectively. The program can calculate the subsonic speed, critical speed and choking state of air flow. The one-dimensional calculation method was validated by the capillary flow characteristic experiment carried out by Kagoshima University in Japan. The capillary length is 12 cm, the inner diameter is 397 μm and the roughness was 0.02%. The downstream pressure of the test was 100 kPa and the upstream pressure was 150-700 kPa. In addition, in order to obtain the detailed flow information in the capillary, the computational fluid dynamics (CFD) software ANSYS Fluent 19.2 was also used to model and calculate the experimental device. The structured grid scheme was adopted in the CFD modeling, and the number of grids was about 1.7 million. The numerical results show that the flow change trend is consistent, and most of the deviation between the gas flow and the experimental value is less than 10%, which proves the accuracy and rationality of the one-dimensional calculation method, and the efficiency of one-dimensional calculation method is better than that of CFD method. On this basis, the influences of pressure difference and inner diameter on gas flow were analyzed by one-dimensional calculation method. The results show that the leakage flow of small inner diameter capillary increases quadratic with the increase of pressure difference, and when the inner diameter is greater than 100 μm, the growth trend of mass flow transits to linearization if the pressure difference exceeds a certain value. When the pressure difference makes the flow in the transition zone between laminar flow and turbulence, the leakage flow through the capillary tube will appear a platform, affected by the change trend of resistance coefficient. The larger the inner diameter, the earlier the platform appears. The results of this paper can provide a technical basis for the retention evaluation of aerosols in the cracks. In the follow-up, the numerical methodology will be extended to the analysis of pressure-driven gas flow with multi-components through capillary tubes.

     

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