Monte carlo simulation of transmission probability of molecular gas flow through vacuum pipes

被引:0
作者
Zhang, Bo [1 ]
Wang, Jie [1 ]
Wei, Wei [1 ]
Fan, Le [1 ]
Pei, Xiangtao [1 ]
Hong, Yuanzhi [1 ]
Wang, Yong [1 ]
机构
[1] National Synchrotron Radiation Laboratory, University of Science and Technology of China
来源
Zhenkong Kexue yu Jishu Xuebao/Journal of Vacuum Science and Technology | 2014年 / 34卷 / 06期
关键词
Conductance; Molecular gas flow; Monte Carlo; Transmission probability;
D O I
10.3969/j.issn.1672-7126.2014.06.03
中图分类号
学科分类号
摘要
The molecular gas flow in a vacuum pipe was modeled and simulated in Monte Carlo method to calculate its transmission probability. The influencing factors, such as the simulated number of molecules, sticking coefficient on inner walls, aspect ratio and cross section of vacuum pipe, and average collision number, were evaluated. The results show that an increased number of the simulated molecules increasingly improve the accuracy. For example, 1.0×109 molecules reduced the uncertainty in a cylindrical pipe to less than 2.7×10-5. The average number of collisions with the wall was found to approximately equal to the aspect ratio of the pipe. The dependence of transmission probabilityon sticking coefficient was analyzed, thus the pressures, measured at both ends of the pipe, could be used to determine the pumping speed of a cryogenic or getter-coated pipe. The gas-conductance through elliptical and rectangular pipes was also calculated, respectively.
引用
收藏
页码:571 / 574
页数:3
相关论文
共 11 条
  • [1] 15, 4, pp. 215-221, (2009)
  • [2] Clausing P., The flow of highly rarefied gases through tubes of arbitrary length, J Vac Sci Technol, 8, 5, pp. 636-646, (1971)
  • [3] Kalos M.H., Whitlock P.A., Monte Carlo Methods, (2009)
  • [4] Davis D.H., Monte carlo calculation of molecular flow rates through a cylind rical elbow and pipes of other shapes, J Appl. Phys., 31, 7, pp. 1169-1176, (1960)
  • [5] 32, 4, pp. 328-331, (2012)
  • [6] 32, 5, pp. 442-446, (2012)
  • [7] 21, 1, pp. 41-48, (1991)
  • [8] Matsumoto M., Nishimura T., Mersenne twister: A 623-dimensionally equidistributed uniform pseudorandom number generator, ACM Trans on Modeling and Computer Simulation, 8, 1, pp. 3-30, (1998)
  • [9] Cole R.J., Complementary variational principles for knudsen flow rates, J Inst Math Appl, 20, 1, pp. 107-115, (1977)
  • [10] Mohan A., Tompson R., Loyalka S.K., Efficient numerical solution of the clausing problem, J Vac Sci Technol, A25, 4, pp. 758-762, (2007)