Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2013, Special Issue (2013), Article ID 231260, 9 pages.

Hydraulic Transients Induced by Pigging Operation in Pipeline with a Long Slope

Tao Deng, Jing Gong, Haihao Wu, Yu Zhang, Siqi Zhang, Qi Lin, and Huishu Liu

Full-text: Open access


Pigging in pipelines basically performs operations for five reasons including cleaning the pipe interior, batching or separating dissimilar products, displacement, measurement, and internal inspection. A model has been proposed for the dynamic simulation of the pigging process after water pressure testing in a long slope pipeline. In this study, an attempt has been made to analyze two serious accidents during pigging operation in 2010 by the model which is developed by the method of characteristic (MOC) by Wylie et al. (1993) and the two-phase homogeneous equilibrium vaporous cavitation model deveoped by Shu (2003) for vaporous cavitation. Moreover, simulation results of the third operation show good agreement with field data from the previous field trial. After investigation, it was showed that the impulse pressures produced during collapse of a vapor cavity result in severe damage of tubes.

Article information

J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 231260, 9 pages.

First available in Project Euclid: 7 May 2014

Permanent link to this document

Digital Object Identifier


Deng, Tao; Gong, Jing; Wu, Haihao; Zhang, Yu; Zhang, Siqi; Lin, Qi; Liu, Huishu. Hydraulic Transients Induced by Pigging Operation in Pipeline with a Long Slope. J. Appl. Math. 2013, Special Issue (2013), Article ID 231260, 9 pages. doi:10.1155/2013/231260.

Export citation


  • A. Bergant, A. R. Simpson, and A. S. Tijsseling, “Water hammer with column separation: a historical review,” Journal of Fluids and Structures, vol. 22, no. 2, pp. 135–171, 2006.
  • R. A. Baltzer, A study of column separation accompanying transient flow of liquid in pipes [Ph.D. thesis], The University of Michigan, Ann Arbor, Mich, USA, 1967.
  • R. A. Baltzer, “Column separation accompanying liquid transients in pipes,” ASME Journal of Basic Engineering D, vol. 89, pp. 837–846, 1967.
  • V. L. Streeter and E. B. Wylie, Hydraulic Transients, McGraw-Hill Book Company, New York, NY, USA, 1967.
  • J. A. Swaffield, “A study of column separation following valve closure in a pipeline carrying aviation kerosine,” Proceedings of the Institution of Mechanical Engineers, vol. 184, no. 7, pp. 57–64, 1969.
  • E. B. Wylie, V. L. Streeter, and L. SuoJones, Fluid Transients in Systems, chapter 3, Prentice Hall, Enalewood Cliffs, NJ, USA, 1993.
  • T. G. Beuthe, “Review of two-phase water hammer,” in Proceedings of the 18th Canadian Nuclear Society Conference, p. 20, Toronto, Canada, 1997.
  • R. W. Angus, “Simple graphical solution for pressure rise in pipes and discharge lines,” Journal of Engineering Institute of Canada, vol. 18, no. 2, pp. 72–81, 1935.
  • N. E. Joukowsky, “Water Hammer,” Proceedings of the American Water Works Association, vol. 24, pp. 314–424, 1904.
  • L. Allievi, General Theory of Perturbed Flow of Water in Pressure Conduits, Annali della Societa degli Ingegneri ed architetti italiani, Milano, Italy, 1903.
  • L. Allievi, Theory of Water Hammer. Notes I to V, ASME, New York, NY, USA, 1913.
  • N. R. Gibson, “Pressure in penstocks caused by gradual closing of turbine gate,” Transactions of the American Society of Civil Engineers, vol. 83, pp. 707–775, 1919.
  • R. W. Angus, “Water hammer in pipes, includin those supplied by centrifugal pumps: graphical treatment,” Proceedings of the Institution of Mechanical Engineers, vol. 136, pp. 245–331, 1937.
  • I. C. O'Neill, Water Hammer in Simple Pipe Systems [M.S. thesis], Department of civil Engineering, University of Melbourne, Victoria, Australia, 1959.
  • A. R. Simpson and E. B. Wylie, “Problems encountered in modeling vapor column separation,” in Proceedings of the Symposium on Fluid Transients in Fluid-Structure Interaction, pp. 103–107, ASME, Miami Beach, Fla, USA, November 1985.
  • J. P. Kalkwijk and C. Kranenburg, “Cavitation in horizontal pipelines due to water hammer,” ASCE Journal of the Hydraulics Divsion, vol. 97, no. 10, pp. 1585–1605, 1971.
  • C. Kranenburg, “Transient cavitation in pipelines,” Report 73-2, Laboratory of Fluid Mechanics, Communications on Hydraulics, Department of Civil Engineering, Delft University of Technology, 1973.
  • C. Kranenburg, “Gas release during transient cavitation in pipes,” ASCE Jouranl of the Hydraulic Division, vol. 100, no. 10, pp. 1383–1398, 1974.
  • C. Jaeger, L. S. Kerr, and E. B. Wylie, “Selected bibliography,” in Proceedings of the International Symposium on Water Hammer in Pumped Storage Projects, ASME Winter Annual Meeting, pp. 233–241, Chicago, ILL, USA, 1965.
  • C. S. Martin, “Status of fluid transients in W estern Europe and the United Kingdom: report on laboratory visits by Freeman scholar,” ASME Journal of Fluids Engineering, vol. 95, pp. 301–318, 1973.
  • A. R. D. Thorley, A Survey of Investigations into Pressure Surge Phenomena, The City University, Department of Mechanical Engineering, London, UK, 1976.
  • J.-J. Shu, “Modelling vaporous cavitation on fluid transients,” International Journal of Pressure Vessels and Piping, vol. 80, no. 3, pp. 187–195, 2003.
  • C. Kranenburg, “The effect of gas release on column separation,” Report 74-3, Delft University of Technology, Department of Civil Engineering, 1974, Communication on Hydraulics.
  • V. L. Streeter, “Transient cavitation pipe flow,” ASCE Journal of Hydraulic Engineering, vol. 109, no. 11, pp. 1407–1423, 1983.
  • M. H. Afshar and M. Rohani, “Water hammer simulation by implicit method of characteristic,” International Journal of Pressure Vessels and Piping, vol. 85, no. 12, pp. 851–859, 2008.
  • J. Luo, “An analysis of the problems of fracture at new great drop line pipe,” Oil and Gas Storage and Transportation, pp. 1000–8241, 2011. \endinput