Elastic Theory for a Simple Pipe

  • John Pickford
Chapter
Part of the Macmillan Civil Engineering Hydraulics book series (CEH)

Abstract

In the theory in Section 2.2 we assumed that water is completely incompressible and that a pipe may be completely rigid. The pressure changes obtained in this way are reasonably accurate if the change of flow is slow and smooth. If, however, the change of flow is sudden, i.e. if T = 0, where T is the time of the valve movement, then dv/dt would be infinite and the pressure increase or decrease would be infinite. Experiments show that the change of pressure is finite.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Lupton, H. R.: ‘Surge control in pipelines,’ J. Instn Wat. Engrs, (1965), 19, pp. 81–85.Google Scholar
  2. 2.
    Joukowski, N.: ‘Waterhammer’ (Translated by Miss O. Simin), Proc. Am. Wat. Wks Ass., (1904), 24, pp. 341–424.Google Scholar
  3. 3.
    Parmakian, J.: Waterhammer analysis (Dover, 1955).Google Scholar
  4. 4.
    Allievi, L.: Teorie del colpo d’ariete (Atti Collegio Ing. Ach, 1913). Translation by Haimos, E. E.: The theory of waterhammer (Am. Soc. mech. Engrs, 1929).Google Scholar
  5. 5.
    Jaeger, C.: ‘Present trends in the design of pressure tunnels and shafts for underground hydro-electric power stations,’ Proc. Instn civ. Engrs, (1955), 4, pp. 116–174.Google Scholar
  6. 6.
    Swaminathan, K. V.: ‘Velocity of waterhammer waves in embedded steel penstocks,’ Civ. Engng publ. Wks Rev., (1964), 59, pp. 1409–1413.Google Scholar
  7. 7.
    Swaminathan, K. V.: ‘Waterhammer wave velocities in concrete tunnels,’ Wat. Pwr, (1965), 17, pp. 117–121.Google Scholar
  8. 8.
    Linton, P., ‘A simple guide to waterhammer and some notes on pressure surges in pump delivery lines,’ Br. Hydromech. Res. Ass., (1961), TN411.Google Scholar
  9. 9.
    Gibson, A. H.: The mechanical properties of fluids (Blackie, 1923) p. 210.Google Scholar
  10. 10.
    Goldman, G. O.: Waterhammer: its causes, magnitude, prevention (Columbia Graphs Inc., 1953).Google Scholar
  11. 11.
    Pearsall, I. S.: ‘The velocity of waterhammer waves,’ Symp. Surges Pipelines, Proc. Instn mech. Engrs, (1966), 180, 3E, pp. 12–20.Google Scholar
  12. 12.
    Kerr, S. L.: ‘Practical aspects of waterhammer,’ J. Instn Wat. Engrs, (1949), 3, pp. 67–74.Google Scholar

Further Reading

  1. Enever, K. J.: ‘An introduction to pressure surges in gas-liquid mixtures,’ Br. Hydromech. Res. Ass., (1967), 9th Members Conf., SP 920.Google Scholar
  2. Halliwell, A. R.: ‘Velocity of waterhammer wave in an elastic pipe,’ J. Hydraul. Div., Proc. Am. Soc. civ. Engrs, (1963), 89, pp. 1–21.Google Scholar
  3. Kennison, H. F.: ‘Surge-wave velocity—concrete pressure pipe,’ Trans. Am. Soc. mech. Engrs, (1956), 78, pp. 1323–1327.Google Scholar

Copyright information

© John Pickford 1969

Authors and Affiliations

  • John Pickford
    • 1
  1. 1.Department of Civil EngineeringLoughborough University of TechnologyLoughboroughUK

Personalised recommendations