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Comprehensive Consideration on the Discharge of Gases from Pressurized Vessels through Pressure Relief Devices

압력용기로부터 압력방출장치를 통한 가스 방출에 관한 포괄적 고찰

  • 정창복 (전남대학교 화학공학부)
  • Received : 2020.09.02
  • Accepted : 2020.12.18
  • Published : 2020.12.31

Abstract

The problem of determining the discharge rates of gases from pressurized vessels through pressure relief devices was dealt with comprehensively. First, starting from basic fluid flow equations, detailed modeling procedures were presented for isentropic nozzle flows and frictional flows in a pipe, respectively. Meanwhile, physical explanations were given to choking phenomena in terms of the acoustic velocity, elucidating the widespread use of Mach numbers in gas flow models. Frictional flows in a pipe were classified into adiabatic, isothermal, and general flows according to the heat transfer situation around the pipe, but the adiabatic flow model was recommended suitable for gas discharge through pressure relief devices. Next, for the isentropic nozzle flow followed by adiabatic frictional flow in the pipe, two equations were established for two unknowns that consist of the Mach numbers at the inlet and outlet of the pipe, respectively. The relationship among the ratio of downstream reservoir pressure to upstream pressure, mass flux, and total frictional loss coefficient was shown in various forms of MATLAB 2-D plot, 3-D surface plot and contour plot. Then, the profiles of gas properties and velocity in the pipe section were traced. A method to quantify the relationship among the pressure head, velocity head, and total friction loss was presented, and was used in inferring that the rapid increase in gas velocity in the region approaching the choked flow at the pipe outlet is attributed to the conversion of internal energy to kinetic energy. Finally, the Levenspiel chart reproduced in this work was compared with the Lapple chart used in API 521 Standatd.

Keywords

Acknowledgement

이 논문은 전남대학교 학술연구비(과제번호: 2016-2511) 지원에 의하여 연구되었음.

References

  1. K. -W. Lee, "A Methodology for Assessing Risk from Released Hydrocarbon", J. Korea Soc. Saf., Vol. 13, pp. 170-180, 1998.
  2. Y. H. Kim, J. B. Baek and J. W. Ko, "A Comparative Study on the Method of Consequence Estimation for Release of Toxicant Substances", J. Korea Soc. Saf., Vol. 9, pp. 89-94, 1994.
  3. D. A. Crowl and J. F. Louvar, "Chemical Process Safety, Fundamentals with Applications", 3rd ed., Prentice Hall, pp. 146-158, 2011.
  4. W. L. McCabe, J. C. Smith and P. Harriott, "Unit Operations of Chemical Engineering", 6th ed., McGraw-Hill, pp. 94-146, 2001.
  5. Safetia Company, "Performance Improvement of Consequence Analysis Software e_CA", Final Report to Korea Occupational Safety and Health Agency, November, 2019.
  6. N. Nevers, "Fluid Mechanics for Chemical Engineers", 3rd ed., McGraw Hill, pp. 311-331, 2005.
  7. API Standard 521, Pressure-relieving and Depressuring Systems, 6th ed., American Petroleum Institute, pp. 90-93, 2014.
  8. A. H. Shapiro, The Dynamics and Thermodynamics pf Compressible Fluid Flow, Ronald Press, New York, 1958.
  9. O. Levenspiel, "The Discharge of Gases from a Reservoir through a Pipe", American Institute of Chemical Engineers Journal, Vol. 23, No. 3, pp. 402-403, 1977. https://doi.org/10.1002/aic.690230333
  10. Crane Company, Flow of Fluids through Valves, Fittings and Pipes, Crane Valve, 1986.
  11. T. Walters, "Gas-flow Calculations: Don't Choke", Chemical Engineering, Cover Story, 2000.
  12. C. E. Lapple, "Isothermal and Adiabatic Flow of Compressible Fluids", Transactions of the Americal Institute of Chemical Engineers, Vol. 39, pp. 385-432, 1943.
  13. F. Teng, P. Medina and M. Heigold, "Compressible Fluid Flow Calculation Methods", Chemical Engineering, pp. 32-41, February, 2014.
  14. API Standard 520, Sizing, Selection and Installation of Pressure-relieving Devices, Part I - Sizing and Selection, 9th ed., American Petroleum Institute, pp. 137-142, 2014.