DOI QR코드

DOI QR Code

Dynamic Modeling & Analysis of Vapor Phase Blowdown of Depressurized Vessel

기체 블로우 다운의 동적 모델링 및 분석

  • Kim, Kyungwoon (Graduate school of Chemistry and Chemical Engineering, Inha University) ;
  • Seo, Ji Won (Graduate school of Chemistry and Chemical Engineering, Inha University) ;
  • Hwang, Sungwon (Graduate school of Chemistry and Chemical Engineering, Inha University) ;
  • Lee, Yun Ju (Process System R&D group, Daewoo Shipbuilding & Marine Engineering Co. LTD.) ;
  • Moon, Young Sik (Process System R&D group, Daewoo Shipbuilding & Marine Engineering Co. LTD.)
  • 김경운 (인하대학교 화학.화학공학 융합대학원) ;
  • 서지원 (인하대학교 화학.화학공학 융합대학원) ;
  • 황성원 (인하대학교 화학.화학공학 융합대학원) ;
  • 이윤주 (대우조선해양 공정시스템연구 그룹) ;
  • 문영식 (대우조선해양 공정시스템연구 그룹)
  • Received : 2015.09.12
  • Accepted : 2016.02.02
  • Published : 2016.06.01

Abstract

For accurate estimation over the change of pressure and temperature of the vessel during blowdown period, a new dynamic blowdown model was developed in this work. In particular, heat transfer from the vessel wall to discharge gas at both laminar or turbulent flow in the vessel was embedded to the model to increase the accuracy of blowdown estimation. For thermodynamics, the whole blowdown period was discretized into finite pressure decrement steps, and the step size was adjusted so that the calculation can be more efficiently carried out, while maintaining the model's accuracy. Both Peng-Robinson and Soave-Redlich-Kwong equation of states were applied to the model, and the results were compared each other. Finally, the simulation results was compared with Haque and coworkers' experimental results, and it proved high accuracy of the model.

본 연구는 vessel blowdown 시 발생하는 온도와 압력 변화를 보다 정확히 예측하기 위하여 기존에 개발된 dynamic model을 기반으로 새로운 모델을 개발하고, 개발한 모델의 정확도를 높이기 위하여 vessel 내부의 흐름이 층류일 때와 난류일 때를 모두 고려하여 vessel 벽면으로부터 기체로의 열 전달량을 계산하였다. 효율적인 열역학 계산을 위해 일체의 계산식은 압력이 감소하는 단계 별로 나누어 진행하였으며 계산의 부담을 덜어주면서 계산의 정확도를 유지하기 위한 압력변화 size를 결정하였다. 개발한 모델에 Peng-Robinson equation과 Soave-Redlich-Kwong equation을 적용하여 각각의 경우에 따른 결과의 차이를 비교하였다. 마지막으로 모델의 검증을 위해 Haque et al.의 실험조건을 동일하게 적용하여 실험 결과와 시뮬레이션 결과를 비교 하였으며, 이를 통해 모델의 정확도를 입증하였다.

Keywords

References

  1. D'Alessandro, V., Giacchetta, G., Leporini, M., Marchetti, B. and Terenzi, A., "Modelling Blowdown of Pressure Vessels Containing Two-phase Hydrocarbons Mixtures with the Partial Phase Equilibrium Approach," Chemical Engineering Science, 126, 719-729(2015). https://doi.org/10.1016/j.ces.2015.01.019
  2. Wong, M. A., "Development of a Mathematical Model for Blowdown of Vessels Containing Multi-component Hydrocarbon Mixtures," Ph.D. Dissertation, the University College London, Torrington Place, London(1998).
  3. Chen, J., Richardson, S. and Saville, G., "Modelling of Two-phase Blowdown from Pipelines-I. A Hyperbolic Model Based on Variational Principles," Chemical Engineering Science, 50(4), 695-713(1995). https://doi.org/10.1016/0009-2509(94)00246-N
  4. Mahgerefteh, H. and Wong, S. M., "A Numerical Blowdown Simulation Incorporating Cubic Equations of State," Comput. Chem. Eng., 23(9), 1309-1317(1999). https://doi.org/10.1016/S0098-1354(99)00296-3
  5. Overa, S. J., Stange, E. and Salater, P., "Determination of Temperatures and Flare Rates During Depressurization and Fire," Proceedings of 72th GPA Annual Convention, 235-235(1993).
  6. Mahgerefteh, H., Falope, G. B. and Oke, A. O., "Modeling Blowdown of Cylindrical Vessels Under Fire Attack," AIChE J., 48(2), 401-410(2002). https://doi.org/10.1002/aic.690480223
  7. Standing, M. B., Volumetric and Phase Behavior of Oil Field Hydrocarbon Systems: PVT for Engineers, California Research Corp.(1951).
  8. Hanley, H. J., McCarty, R. D. and Haynes, W. M., "The Viscosity and Thermal Conductivity Coefficients for Dense Gaseous and Liquid Argon, Krypton, Xenon, Nitrogen, and Oxygen," Journal of Physical and Chemical Reference Data, 3(4), 979-1017(1974). https://doi.org/10.1063/1.3253152
  9. Escobedo, J. and Mansoori, G. A., "Surface Tension Prediction for Pure Fluids," AIChE J., 42(5), 1425-1433(1996). https://doi.org/10.1002/aic.690420523
  10. Winters, W. S., Evans, G. H., Rice, S. F. and Greif, R., "An Experimental and Theoretical Study of Heat and Mass Transfer During the Venting of Gas from Pressure Vessels," Int. J. Heat Mass Transfer, 55(1), 8-18(2012). https://doi.org/10.1016/j.ijheatmasstransfer.2011.08.023
  11. Green, D. W., Perry's Chemical Engineers' Handbook, McGrawhill New York(2008).
  12. Richardson, S., Saville, G., Fisher, S., Meredith, A. and Dix, M., "Experimental Determination of Two-phase Flow Rates of Hydrocarbons Through Restrictions," Process Saf. Environ. Prot., 84(1), 40-53(2006). https://doi.org/10.1205/psep.04298
  13. Bird, R. B., "Transport Phenomena," Appl. Mech. Rev., 55(1), R1-R4(2002). https://doi.org/10.1115/1.1424298
  14. Haque, A., Richardson, S., Saville, G. and Chamberlain, G., "Rapid Depressurization of Pressure Vessels," J. Loss. Prev. Process. Ind., 3(1), 4-7(1990). https://doi.org/10.1016/0950-4230(90)85015-2
  15. Haque, M., Richardson, S. and Saville, G., "Blowdown of Pressure Vessels. I. Computer Model," Process Saf. Environ. Protect, 70(B1), 3-9(1992).
  16. Twu, C. H., Sim, W. D. and Tassone, V., "Getting a Handle on Advanced Cubic Equations of State," Chem. Eng. Prog., 98(11), 58-65(2002).
  17. Speranza, A. and Terenzi, A., "Blowdown of Hydrocarbons Pressure Vessel With Partial Phase Separation," Series on Advances in Mathematics for Applied Sciences, 69, 508(2005).
  18. Haque, M., Richardson, S., Saville, G., Chamberlain, G. and Shirvill, L., "Blowdown of Pressure Vessels. II. Experimental Validation of Computer Model and Case Studies," Trans IChemE, Part B, Proc Safe Env Prot, 70(B1), 10-17(1992).
  19. Clark, G., Zero-dimensional model of compressible gas flow in networks of pressure vessels: Program TRIC, (1983).
  20. Charton, S., Blet, V. and Corriou, J., "A Simplified Model for Real Gas Expansion Between Two Reservoirs Connected by a Thin Tube," Chemical Engineering Science, 51(2), 295-308(1996). https://doi.org/10.1016/0009-2509(95)00256-1
  21. Chen, J., Richardson, S. and Saville, G., "Modelling of Twophase Blowdown From Pipelines-II. A Simplified Numerical Method for Multi-component Mixtures," Chemical Engineering Science, 50(13), 2173-2187(1995). https://doi.org/10.1016/0009-2509(95)00009-T
  22. Dutton, J. C. and Coverdill, R. E., "Experiments to Study the Gaseous Discharge and Filling of Vessels," International Journal of Engineering Education, 13(2), 123-134(1997).

Cited by

  1. A Study on Model for Gas Venting Characteristic of Pressure Vessel for Propulsion System vol.22, pp.3, 2018, https://doi.org/10.6108/KSPE.2018.22.3.134