Transient Analysis of Pipeline System Considering Unsteady Friction Models

다양한 부정류 마찰항을 고려한 관망 천이류 모의와 실험연구

  • 장일 (부산대학교 환경공학과) ;
  • 김상현 (부산대학교 환경공학과) ;
  • 김지현 (경북대학교 컴퓨터공학과)
  • Received : 2008.10.07
  • Accepted : 2008.12.01
  • Published : 2008.12.15

Abstract

This research compared several unsteady friction models for transient analysis of pipeline system. Unsteady friction is an important factor for accurate simulation of hydraulic transient. Steady friction, quasi-steady friction, Zielke's model and two versions of Brunone model were compared with measurement data of identical pipeline conditions. This study showed that the existing simple steady friction model can be useful for the safer design of pipeline system due to its overestimation of waterhammer, but introduction of more elaborate models are required for advanced analysis such as inverse transient analysis of friction or leakage and the preliminary analysis of water quality prediction of water distribution system.

Keywords

Acknowledgement

Supported by : 환경부

References

  1. 김상현, 김봉기, 조임영, 이현동, (2003) "관로시스템의 천이류 해석에 의한 부정류 마찰항 고려방법에 대한 비교 연구", 대한환경공학회, Vol. 25(5), pp. 602-608
  2. 이미현, 송용석, 김상현 (2006) "단일관망에서 누수효과를 고려한 천이류 분석 및 실험", 상하수도학회지, Vol. 20(2), pp. 139-140
  3. Adamkowski A., Lewandowski, M. L. (2006) "Experimental examination of unsteady friction models for transient pipe flow simulation", Journal of Fluid Engineering, Vol. 128, pp. 1351-1361 https://doi.org/10.1115/1.2354521
  4. Bergant A., Simpson A. R., and Vitkovsky J. (2001) "Developments in unsteady pipe flow friction modelling." Journal of Hydraulic Research, Vol. 39(3), pp. 249-258 https://doi.org/10.1080/00221680109499828
  5. Boulos P., Karney B. W., Wood D. J., Lingireddy S. (2005) "Hydraulic transient guidelines for protecting water distribution systems." Journal of American Water Works Association, Vol. 97(5), pp. 111-124
  6. Brunone B., Ferrante M., (2001) "Detecting leaks in pressurised pipes by means of transients" Journal of Hydraulic Research. Vol. 39, No. 5 pp. 539-548 https://doi.org/10.1080/00221686.2001.9628278
  7. Brunone B., Golia, U. M., and Greco. M., (1991) " Some remarks on the momentum equations for fast transients." International meeting on hydraulic transients with column seperation, 9th round table, IAHR, Valencia, Spain
  8. Chaudhry M. H., (1987) "Applied hydraulic transients." 2nd Ed., Van Nostrand Reinhold, New York
  9. Haaland, S. E., (1983) "Simple and Explicit Formulas for th Friction Factor in Turbulent Pipe Flow." Journal of Fluids Engineering. Vol. 105, pp. 89-90 https://doi.org/10.1115/1.3240948
  10. Joukowsky, N., (1904) "Waterhammer" Mem. Imp. Acad. Soc. St. Petersburg, 1898(translated by O. Simin); Proc. Am. Waterworks Assoc. Vol. 24, pp. 341-424
  11. Kim, S. (2008) "Address-oriendted impedance matrix method for generic calibration of heterogeneous pipe network systems." Journal of Hydraulic Engineering. Vol. 134(1), pp. 66-75 https://doi.org/10.1061/(ASCE)0733-9429(2008)134:1(66)
  12. Liggett J. A., Chen L. C., (1994) "Inverse transient analysis in pipe networks." Journal of Hydraulic Engineering, ASCE, Vol. 120, No. 8, pp. 934-955 https://doi.org/10.1061/(ASCE)0733-9429(1994)120:8(934)
  13. Ramos H., Covas D., (2003) "Surge damping analysis in pipe systems :modelling and experiments." Journal of Hydraulic Research, Vol. 42(4) pp. 413-425 https://doi.org/10.1080/00221686.2004.9641209
  14. Vitkovsky J., Stephens, M., Bergant, A., Simpson, A., Lambert, M., (2006) "Numerical error in weighting function-based unsteady friction models for pipe transients." Journal of Hydraulic Engineering, Vol 132(7), pp. 709-721 https://doi.org/10.1061/(ASCE)0733-9429(2006)132:7(709)
  15. Wylie. E. B., Streeter V. L., (1993) " Fluid transients in systems." Prentice-Hall, Englewood cliffs, N.J.
  16. Zielke. W., (1968) "Frequency-dependent friction in transient pipe flow." Journal of Basic Engineering, Vol 67, 109-115