Impulse Response Method for Pipeline Systems Equipped with Water Hammer Protection Devices
Publication: Journal of Hydraulic Engineering
Volume 134, Issue 7
Abstract
Surge protection devices, such as surge tanks and air chambers, have been modeled with the impulse response method for transient analysis of water distribution systems. The lumped inertia model and continuity equation are used to represent nonpipe hydraulic elements. Results of pressure or discharge variations obtained by using the impulse response method and the method of characteristics are in good agreement. The impulse response method provides total pressure and discharge along any pipeline segment by direct integration of the ratio of complex head or complex discharge to a complex downstream discharge, respectively. A modification is proposed so that transition between turbulent and laminar flows can be considered. The representation of hydraulic devices has been incorporated into the impedance matrix method, which was developed for heterogeneous and multilooped pipe network systems. The potential advantages of the proposed method over other conventional approaches were investigated by applying the proposed method to hypothetical pipe network systems.
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Acknowledgments
This work was supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korean government (MOST) (No. KOSEFR01-2007-000-10808-0).
References
Chaudhry, M. H. (1987). Applied hydraulic transients, 2nd Ed., Van Nostrand Reinhold, New York.
Covas, D., Ramos, H., and Almeida, A. B. (2005a). “Impulse response method for solving hydraulic transients in viscoelastic pipes.” Proc., XXXI IAHR Congress, 12–18.
Covas, D., Ramos, H., and Almeida, A. B. (2005b). “Standing wave difference method for leakage detection in pipeline systems.” J. Hydraul. Eng., 131(12), 1106–1116.
Di Santo, A. R., Fratino, U., Iacobellis, V., and Piccinni, A. F. (2002). “Effects of free outflow in rising mains with air chamber.” J. Hydraul. Eng., 128(11), 992–1001.
Ghidaoui, M. S., and Karney, B. W. (1994). “Equivalent differential equations in fixed grid characteristics method.” J. Hydraul. Eng., 120(10), 1159–1175.
Kim, S. H. (2005). “Extensive development of leak detection algorithm by impulse response method.” J. Hydraul. Eng., 131(3), 2001–2007.
Kim, S. H. (2007). “Impedance matrix method for transient analysis of complicated pipe networks.” J. Hydraul. Res., 45(6), 818–828.
Lee, P. J., Vitkovsky, J. P., Lambert, M. F., Simpson, A. R., and Liggett, J. A. (2005). “Frequency domain analysis for detecting pipeline leaks.” J. Hydraul. Eng., 131(7), 596–604.
Lee, T. S. (1998). “A numerical method for the computation of the effects of an air vessel on the pressure surges with air entrainment.” Int. J. Numer. Methods Fluids, 28, 703–718.
Liggett, J. A., and Chen, L. (1994). “Inverse transient analysis in pipe networks.” J. Hydraul. Eng., 120(8), 934–955.
Ramos, H., Borga, A., Covas, D., and Loureiro, D. (2004). “Surge damping analysis in pipe systems: Modelling and experiments.” J. Hydraul. Res., 42(4), 413–425.
Sibetheros, I. A., Holley, E. R., and Branski, J. M. (1991). “Spline interpolations for water hammer analysis.” J. Hydraul. Eng., 117(10), 1332–1351.
Stephenson, D. (1997). “Effects of air valves and pipework on water hammer pressures.” J. Transp. Eng., 123(2), 101–106.
Stephenson, D. (2002). “Simple guide for design of air vessels for water hammer protection of pumping lines.” J. Hydraul. Eng., 128(8), 792–797.
Suo, L., and Wylie, E. B. (1989). “Impulse response method for frequency-dependent pipeline transients.” J. Fluids Eng., 111(4), 478–483.
Thorley, A. R. D., and Lastowiecki, P. (1985). “Air vessel deign for rising mains.” Proc., Int. Conf. on the Hydraulics of Pumping Stations, 89–98.
Vitkovsky, J. P., Simpson, A. R., and Lambert, M. F. (2000). “Leak detection and calibration using transients and genetic algorithms.” J. Water Resour. Plann. Manage., 125(5), 302–306.
Wylie, E. B., and Streeter, V. L. (1993). Fluid transient in systems, Prentice-Hall, Englewood Cliffs, N.J.
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© 2008 ASCE.
History
Received: Oct 9, 2006
Accepted: Oct 24, 2007
Published online: Jul 1, 2008
Published in print: Jul 2008
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