Transactions of the Korean hydrogen and new energy society (한국수소및신에너지학회논문집)

The Korean Hydrogen and New Energy Society (한국수소및신에너지학회)
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A Theoretical Study on the Compressibility Factor of Hydrogen Gas in the High Pressure Tank

고압탱크에서 수소가스의 압축성 인자에 관한 이론적 연구

  • JI-QIANG LI (School of Transportation, Ludong University) ;
  • HENG XU (Department of Mechanical Engineering, Hoseo University General Graduate School) ;
  • JI-CHAO LI (School of Industrial, Jining University) ;
  • JEONG-TAE KWON (Division of Mechanical and Automotive Engineering, Hoseo University)
  • 이길강 (루동대학교 교통공학부) ;
  • 허항 (호서대학교 일반대학원 기계공학과) ;
  • 이길초 (지녕대학교 산업학부) ;
  • 권정태 (호서대학교 기계자동차공학부)
  • Received : 2023.02.21
  • Accepted : 2023.04.25
  • Published : 2023.04.28
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Abstract

The fast refueling process of compressed hydrogen has an important impact on the filling efficiency and safety. With the development and use of hydrogen energy, the demand for precision measurement of filling hydrogen thermodynamic parameters is also increasing. In this paper, the compressibility factor calculation model of high-pressure hydrogen gas was studied, and the basic equation of state and thermo-physical parameters were calculated. The hydrogen density data provided by the National Institute of Standards and Technology was compared with the calculation results of each model. Results show that at a pressure of 0.1-100 MPa and a temperature of 233-363 K, the calculation accuracy of the Zheng-Li equation of state was less than 0.5%. In the range of 0.1-70 MPa, the accuracy of Redich-Kwong equation is less than 3%. The hydrogen pressure more influences on the compressibility factor than the hydrogen temperature does. Using the Zheng-Li equation of state to calculate the compressibility factor of on-board high pressure hydrogen can obtain high accuracy.

Keywords

Acknowledgement

This research was supported by Regional Innovation Strategy (RIS) through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (MOE) (2021RIS-004). This research is also the result of receiving the support for the university innovation support project at Hoseo University, Korea and Yantai next generation industrial robot and intelligent manufacturing engineering laboratory.

References

  1. S. J. Oh, J. H. Yoon, K. S. Jeon, and J. J. Choi, "A study on the thermal characteristics of hydrogen storage vessel related to condition of charging", Journal of Mechanical Science and Technology, Vol. 36, 2022, pp. 1579-1586, doi: https://doi.org/10.1007/s1220602202432.
  2. B. H. Park, "Simulation of temperature behavior in hydrogen tank during refueling using cubic equations of state", Journal of Hydrogen and New Energy, Vol. 30, No. 5, 2019, pp. 385-394, doi: https://doi.org/10.7316/KHNES.2019.30.5.385.
  3. B. H. Park, "Calculation and comparison of thermodynamic properties of hydrogen using equations of state for compressed hydrogen storage", Journal of Hydrogen and New Energy, Vol. 31, No. 2, 2020, pp. 184-193, doi: https://doi.org/10.7316/KHNES.2020.31.2.184.
  4. M. Yang, Y. Jiang, J. Liu, S. Xu, and A. Du, "Lattice Boltzmann method modeling and experimental study on liquid water characteristics in the gas diffusion layer of proton exchange membrane fuel cells", International Journal of Hydrogen Energy, Vol. 47, No. 18, 2022, pp. 10366-10380, doi: https://doi.org/10.1016/j.ijhydene.2022.01.115.
  5. K. Mohamed and M. Paraschivoiu, "Real gas simulation of hydrogen release from a highpressure chamber", International Journal of Hydrogen Energy, Vol. 30, No. 8, 2005, pp. 903-912, doi: https://doi.org/10.1016/j.ijhydene.2004.10.001.
  6. R. W. Schefer, W. G. Houf, T. C. Williams, B. Bourne, and J. Colton, "Characterization of high-pressure, underexpanded Hydrogen-jet flames", International Journal of Hydrogen Energy, Vol. 32, No. 12, 2007, pp. 2081-2093, doi: https://doi.org/10.1016/j.ijhydene.2006.08.037.
  7. R. Khaksarfard, M. R. Kameshki, and M. Paraschivoiu, "Numerical simulation of high pressure release and dispersion of hydrogen into air with real gas model", Shock Waves, Vol. 20, No. 3, 2010, pp. 205-216, doi: https://doi.org/10.1007/s00193-010-0260-4.
  8. J. Xiao, J. R. Travis, and W. Breitung, "Hydrogen release from a high pressure gaseous hydrogen reservoir in case of a small-leak", International Journal of Hydrogen Energy, Vol. 36, No. 3, 2011, pp. 2545-2554, doi: https://doi.org/10.1016/j.ijhydene.2010.05.069.
  9. F. Bonelli, A. Viggiano, and V. Magi, "A numerical analysis of hydrogen underexpanded jets under real gas assumption", Journal of Fluids Engineering, Vol. 135, No. 12, 2013, pp. 121101, doi: https://doi.org/10.1115/1.4025253.
  10. J. Q. Li, J. C. L. Li, K. Park, and J. T. Kwon, "Investigation on the changes of pressure and temperature in high pressure filling of hydrogen storage tank", Case Studies in Thermal Engineering, Vol. 37, 2020, pp. 102143, doi: https://doi.org/10.1016/j.csite.2022.102143.
  11. J. Hu, D. M. Christopher, and X. Li, "Simplified partitioning model to simulate high pressure under-expanded jet flows impinging vertical obstacles", International Journal of Hydrogen Energy, Vol. 43, No. 29, 2018, pp. 13649-13658, doi: https://doi.org/10.1016/j.ijhydene.2018.05.036.
  12. X. Li, D. M. Christopher, E. S. Hecht, and I. W. Ekoto, "Comparison of two-layer model for hydrogen and helium jets with notional nozzle model predictions and experimental data for pressures up to 35 MPa", International Journal of Hydrogen Energy, Vol. 42, No. 11, 2017, pp. 7457-7466, doi: https://doi.org/10.1016/j.ijhydene.2016.05.214.
  13. K. Zhou, J. Liu, Y. Wang, M. Liu, Y. Yu, and J. Jiang, "Prediction of state property, flow parameter and jet flame size during transient releases from hydrogen storage systems", International Journal of Hydrogen Energy, Vol. 43, No. 27, 2018, pp. 12565-12573, doi: https://doi.org/10.1016/j.ijhydene.2018.04.141.
  14. X. Yu, Y. Wu, Y. Zhao, and C. Wang, "Flame characteristics of under-expanded, cryogenic hydrogen jet fire", Combustion and Flame, Vol. 244, 2022, pp.112294, doi: https://doi.org/10.1016/j.combustflame.2022.112294.
  15. C. Proust, D. Jamois, and E. Studer, "High pressure hydrogen fires", International Journal of Hydrogen Energy, Vol. 36, No. 3, 2011, pp. 2367-2373, doi: https://doi.org/10.1016/j.ijhydene.2010.04.055.
  16. K. Zhou, X. Wang, M. Liu, and J. Liu, "A theoretical frame work for calculating full-scale jet fires induced by high-pressure hydrogen/natural gas transient leakage", International Journal of Hydrogen Energy, Vol. 43, No. 50, 2018, pp. 22765-22775, doi: https://doi.org/10.1016/j.ijhydene.2018.10.122.
  17. Q. Zou, Y. Tian, and F. Han, "Prediction of state property during hydrogen leaks from high-pressure hydrogen storage systems", International Journal of Hydrogen Energy, Vol. 44, No. 39, 2019, pp. 22394-22404, doi: https://doi.org/10.1016/j.ijhydene.2019.06.126.
  18. R. Laghaei, A. E. Nasrabad, and B. C. Eu, "Generic van der Waals equation of state, modified free volume theory of diffusion, and viscosity of simple liquids", The Journal of Physical Chemistry B, Vol. 109, No. 12, 2005, pp. 5873-5883, doi: https://doi.org/10.1021/jp0448245.
  19. O. Redlich and J. N. S. Kwong, "On the thermodynamics of solutions. V. An equation of state. Fugacities of gaseous solutions", Chemical Reviews, Vol. 44, No. 1, 1949, pp. 233-244, doi: https://doi.org/10.1021/cr60137a013.
  20. G. Soave, "Equilibrium constants from a modified Redlich-Kwong equation of state", Chemical Engineering Science, Vol. 27, No. 6, 1972, pp. 1197-1203, doi: https://doi.org/10.1016/0009-2509(72)80096-4.
  21. D. Y. Peng and D. B. Robinson, "A new two-constant equation of state", Industrial & Engineering Chemistry Fundamentals, Vol. 15, No. 1, 1976, pp. 3069-3078, doi: https://doi.org/10.1021/i160057a011.
  22. J. Zheng, L. Li, R. Chen, P. Xu, and F. Kai "High pressure steel storage vessels used in hydrogen refueling station", Journal of pressure vessel technology, Vol. 130, No. 1, 2008, pp. 014503, doi: https://doi.org/10.1115/1.2826453.