Numerical investigation of the blade angle in the middle and final stages of a five-stage turbomolecular pump by considering the effect of returning molecules from other stages using the TPMC method

Document Type : Original Article

Authors
Mech. Eng., Shaid Rajaee Teacher Traning Univ., Tehran, Iran
Abstract
In this research, after examining the theoretical and experimental work done in the field of turbomolecular pumps, the simulation of the behavior of molecules in the free molecular flow between the stages of the turbomolecular pump, considering the effect of returning molecules from other stages, will be done. This simulation was done in the cylindrical coordinate system, using the test-particle Monte Carlo method and considering the real and three-dimensional geometry of the blade. Then the present work is validated and compared with experimental results and previous works. In the following, to investigate the effect of the blade angle in the middle and final stages of the turbomolecular pump, considering that three angles of 20, 15 and 10 degrees are mainly used in these stages, four different combinations of the aforementioned angles are presented for a five-stage turbomolecular pump. The four presented combinations have been evaluated based on the two parameters of maximum compression ratio and maximum flow rate at different blade speeds. Finally, it can be seen that different angles should be used for the middle and final stages of the turbomolecular pump, emphasizing the 15 degree angle compared to the 20 and 10 degree angles. It is also recommended to use an angle less than 10 degrees in order to achieve the maximum compression ratio and maximum flow rate.
Keywords
Subjects

[1] A. Chambers, Modern vacuum physics. CRC Press, 2004.
[2] D. Hoffman, B. Singh, and J. H. Thomas III, Handbook of vacuum science and technology. Elsevier, 1997.
[3] J. A. Becker, “Study of surfaces by using new tools,” in Solid State Physics, vol. 7, Elsevier, 1958, pp. 379–424.
[4] C. H. Kruger, “The axial-flow compressor in the free-molecule range.” Massachusetts Institute of Technology, 1960.
[5] H. J. Finol, “Study of free molecule flow through a cascade.” Massachusetts Institute of Technology, Department of Mechanical Engineering, 1958.
[6] T. Sawada and K. Murakami, “The Axial Flow Molecular Pump (I),” Shinku, vol. 14, no. 2, pp. 33–41, 1971.
[7] T. SAWADA, M. SUZUKI, and O. TANIGUCHI, “On the Axial Flow Moleculaer Pump : 2nd Report, The Performance of a Combination of Blade Rows,” Trans. Japan Soc. Mech. Eng., vol. 36, no. 285, pp. 781–791, 1970, doi: 10.1299/kikai1938.36.781.
[8] T. SAWADA and O. TANIGUCHI, “On the Axial Flow Molecular Pump : 3rd Report, Trial Manufacture and the Performance Test,” Trans. Japan Soc. Mech. Eng., vol. 38, no. 310, pp. 1456–1461, 1972, doi: 10.1299/kikai1938.38.1456.
[9] T. SAWADA, “Performance of a turbomolecular pump in the transition and slip flow regimes,” Bull. JSME, vol. 22, no. 165, pp. 362–369, 1979.
[10] S. Iida and O. Kimura, “On performance improvement of axial-flow molecular pump,” Jpn. J. Appl. Phys., vol. 13, no. S1, p. 9, 1974.
[11] S. Katsimichas, A. J. H. Goddard, R. Lewington, and C. R. E. De Oliveira, “General geometry calculations of one‐stage molecular flow transmission probabilities for turbomolecular pumps,” J. Vac. Sci. Technol. A Vacuum, Surfaces, Film., vol. 13, no. 6, pp. 2954–2961, 1995.
[12] T. N. Schneider, S. Katsimichas, C. R. E. De Oliveira, and A. J. H. Goddard, “Empirical and numerical calculations in two dimensions for predicting the performance of a single stage turbomolecular pump,” J. Vac. Sci. Technol. A Vacuum, Surfaces, Film., vol. 16, no. 1, pp. 175–180, 1998.
[13] R.-Y. Jou, H.-P. Cheng, Y.-W. Chang, F.-Z. Chen, and M. Iwane, “Designs, analyses, and tests of a spiral-grooved turbobooster pump,” J. Vac. Sci. Technol. A Vacuum, Surfaces, Film., vol. 18, no. 3, pp. 1016–1024, 2000.
[14] J.-S. Heo and Y.-K. Hwang, “DSMC calculations of blade rows of a turbomolecular pump in the molecular and transition flow regions,” Vacuum, vol. 56, no. 2, pp. 133–142, 2000.
[15] P. A. Skovorodko, “The Topology of Molecular Flow in Axial Compressor,” AVS 47th Int. Symp, 2000.
[16] Y.-W. Chang and R.-Y. Jou, “Direct simulation of pumping characteristics in a fully 3D model of a single-stage turbomolecular pump,” Appl. Surf. Sci., vol. 169, pp. 772–776, 2001.
[17] A. Amoli, R. Ebrahimi, and S. M. Hosseinalipour, “Some features of molecular flow in a rotor-stator row with real topology,” Vacuum, vol. 72, no. 4, pp. 427–438, 2004, doi: 10.1016/j.vacuum.2003.10.002.
[18] S. Wang et al., “Numerical study of a single blade row in turbomolecular pump,” Vacuum, vol. 83, no. 8, pp. 1106–1117, 2009.
[19] H. Shkohmand, S. M. Tagvi, and N. Pirzai Khabazi, “Investigating the effect of thermal imbalance and thermal adaptation coefficient on axial turbomolecular pump performance,” 15th Iran International Conference on Mechanical Engineering (ISME2007). pp. 1–8, 2007. (In Persian)
[20] R. Versluis, R. Dorsman, L. Thielen, and M. E. Roos, “Numerical investigation of turbomolecular pumps using the direct simulation Monte Carlo method with moving surfaces,” J. Vac. Sci. Technol. A Vacuum, Surfaces, Film., vol. 27, no. 3, pp. 543–547, 2009.
[21] M. Shams, H. Sheykhzadeh, and M. Taghavi, “Mathematical simulation of free molecular flow in a three-dimensional turbomolecular pump with nonparallel blades,” J. Dispers. Sci. Technol., vol. 31, no. 3, pp. 299–306, 2010.
[22] M. Mastiani, A. Sohrabi Kashani, N. Pourmahmoud, and N. E. Yousefian Abroudi, “investigation of turbomolecular pump performance using direct Monte Carlo simulation method,” 19th International Conference on Mechanical Engineering of Iran (ISME2011). 2011.(In Persian)
[23] N. Sengil and F. O. Edis, “Fast cell determination of the DSMC molecules in multi-stage turbo molecular pump design,” Comput. Fluids, vol. 45, no. 1, pp. 202–206, 2011.
[24] B. Han, Z. Huang, and Y. Le, “Design aspects of a large scale turbomolecular pump with active magnetic bearings,” Vacuum, vol. 142, pp. 96–105, 2017.
[25] N. Metropolis and S. Ulam, “The monte carlo method,” J. Am. Stat. Assoc., vol. 44, no. 247, pp. 335–341, 1949.
[26] A. Amoli, M. Hoseinalipour, and R. Ebrahimi, “Direct simulation of free molecular flow in fully 3-d axial rotor,” in 36th AIAA Thermophysics Conference, 2003, p. 3777, doi: 10.2514/6.2003-3777.

  • Receive Date 28 July 2023
  • Revise Date 11 September 2023
  • Accept Date 25 September 2023
  • First Publish Date 25 September 2023
  • Publish Date 22 June 2023