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LI Tian, DAI Zhi-yuan, ZHANG Ji-ye, ZHANG Wei-hua. Theoretical model and calculation of static leakage for train air tightness[J]. Journal of Traffic and Transportation Engineering, 2020, 20(1): 150-158. doi: 10.19818/j.cnki.1671-1637.2020.01.012
Citation: LI Tian, DAI Zhi-yuan, ZHANG Ji-ye, ZHANG Wei-hua. Theoretical model and calculation of static leakage for train air tightness[J]. Journal of Traffic and Transportation Engineering, 2020, 20(1): 150-158. doi: 10.19818/j.cnki.1671-1637.2020.01.012
shu

Theoretical model and calculation of static leakage for train air tightness

doi: 10.19818/j.cnki.1671-1637.2020.01.012

  • State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

More Information
  • Author Bio:

    LI Tian(1984-), male, associate professor, PhD, litian2008@home.swjtu.edu.cn

  • Received Date: 2019-08-01
  • Publish Date: 2020-02-25
    Abstract
  • Based on the one-dimensional isentropic flow theory, the state equations of static leakage for the train air tightness were derived. The calculation formulas for the leakage time of pressure drop and the total leakage time were obtained considering the flow coefficient of leakage hole. The dynamic process of static leakage for the train air tightness was numerically simulated. The effects of slenderness ratio of leakage hole and the initial air pressure inside the car body on the train air tightness were studied when the slenderness ratios are 1∶1, 1∶4, 1∶8, and 1∶16, and the initial air pressures inside the car body are 6, 5, 4, and 3 kPa, respectively. Analysis result shows that the pressure drop times calculated by the numerical simulation and the theoretical formula are 20.25, 20.23 s, respectively, when the air pressure inside the car body drops from 3.0 kPa to 0.8 kPa, and the relative errors between them and the experimental results are 1.41% and 1.51%, respectively. When the slenderness ratios of leakage hole are 1∶8 and 1∶16, the time history curves of air pressure drop inside the car body are basically the same, and the air flow rate of leakage hole remains unchanged. During the leakage process, the air flow velocity of leakage hole shows the distribution characteristics of large in the middle and small around. This is caused by the viscous effect of leakage hole wall surface. According to the central velocity and mass flow rate at the outlet section, the flow coefficient of leakage hole is 0.71. The effect of initial air pressure inside the car body on the same specified pressure drop time is less than 1%. If the pressure drop range is the same, the pressure drop time decreases with the increase of initial air pressure, the time for the pressure to drop from 4 kPa to 1 kPa is 24.18 s, and the time for the pressure to drop from 5 kPa to 2 kPa is 19.80 s. The maximum relative error between the results of numerical simulation and the theoretical calculation is 1.22%, indicating that the theoretical model and numerical simulation calculation method can be applied to calculate the leakage area or the air tightness of train.

     

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