Abstract
Effective modeling of pipe network anomalies can supplement fluid transient diagnostic techniques. This study focuses on comparing modeling approaches for predicting the transient response due to air pockets entrapped outside the main flow path (offline), in particular testing the assumption that the flow inside the cavity can be predicted based on a lumped element. This assumption has been consistently made in previous modeling investigations in the time and frequency domains. The results are compared to a system frequency response model without the lumped inertia assumption by quantifying timing and signal frequency distribution errors. It is found that removing the lumped inertia assumption improved the prediction of the reflected and transmitted pulse frequency distributions by averages of 50% and 30%–35%, respectively.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
We would like to thank Hong Kong Research Grants Council for the theme based research scheme (TRS) Grant No. T21-602/15R for supporting this research.
References
Alexander, J., P. J. Lee, M. Davidson, H.-F. Duan, Z. Li, R. Murch, S. Meniconi, and B. Brunone. 2019. “Experimental validation of existing numerical models for the interaction of fluid transients with in-line air pockets.” J. Fluids Eng. 141 (12): 121101. https://doi.org/10.1115/1.4043776.
Alexander, J., P. J. Lee, M. Davidson, Z. Li, R. Murch, H.-F. Duan, S. Meniconi, and B. Brunone. 2020a. “Experimental investigation of the interaction of fluid transients with an in-line air pocket.” J. Hydraul. Eng. 146 (3): 04019067. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001691.
Alexander, J., Z. Li, P. J. Lee, M. Davidson, H.-F. Duan, and R. Murch. 2020b. “Experimental investigation of the effects of air pocket configuration on fluid transients in a pipeline.” J. Hydraul. Eng. 146 (12): 04020081. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001823.
Al-Tofan, M., M. Elkholy, S. Khilqa, J. Caicedo, and M. H. Chaudhry. 2019. “Use of lower harmonics of pressure oscillations for blockage detection in liquid pipelines.” J. Hydraul. Eng. 145 (3): 04018090. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001568.
Al-Tofan, M., M. Elkholy, S. Khilqa, and M. H. Chaudhry. 2020. “Leak detection in liquid pipelines using lower harmonics of pressure oscillations.” J. Pipeline Syst. Eng. Pract. 11 (4): 04020033. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000479.
Bergant, A., A. R. Simpson, and A. S. Tijsseling. 2006. “Water hammer with column separation: A historical review.” J. Fluids Struct. 22 (2): 135–171. https://doi.org/10.1016/j.jfluidstructs.2005.08.008.
Bergant, A., A. S. Tijsseling, J. P. Vítkovskỳ, D. I. Covas, A. R. Simpson, and M. F. Lambert. 2008. “Parameters affecting water-hammer wave attenuation, shape and timing—Part 1: Mathematical tools.” J. Hydraul. Res. 46 (3): 373–381. https://doi.org/10.3826/jhr.2008.2848.
Burrows, R., and D. Qiu. 1995. “Effect of air pockets on pipeline surge pressure.” Proc. Inst. Civ. Eng. 112 (4): 349–361. https://doi.org/10.1680/iwtme.1995.28115.
Chaudhry, M. H. 1979. Applied hydraulic transients. Berlin: Springer.
De Martino, G., and N. Fontana. 2012. “Simplified approach for the optimal sizing of throttled air chambers.” J. Hydraul. Eng. 138 (12): 1101–1109. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000633.
Duan, H., and P. Lee. 2016. “Transient-based frequency domain method for dead-end side branch detection in reservoir pipeline-valve systems.” J. Hydraul. Eng. 142 (2): 04015042. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001070.
Duan, H., P. Lee, T. Che, M. Ghidaoui, B. Karney, and A. Kolyshkin. 2017. “The influence of non-uniform blockages on transient wave behavior and blockage detection in pressurized water pipelines.” J. Hydro-environ. Res. 17 (Dec): 1–7. https://doi.org/10.1016/j.jher.2017.08.002.
Duan, H. F. 2017. “Transient frequency response based leak detection in water supply pipeline systems with branched and looped junctions.” J. Hydroinf. 19 (1): 17–30. https://doi.org/10.2166/hydro.2016.008.
Duan, H.-F., T.-C. Che, P. J. Lee, and M. S. Ghidaoui. 2018. “Influence of nonlinear turbulent friction on the system frequency response in transient pipe flow modelling and analysis.” J. Hydraul. Res. 56 (4): 451–463. https://doi.org/10.1080/00221686.2017.1399936.
Duan, H.-F., P. J. Lee, M. S. Ghidaoui, and Y.-K. Tung. 2012. “Extended blockage detection in pipelines by using the system frequency response analysis.” J. Water Resour. Plann. Manage. 138 (1): 55–62. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000145.
Evans, W., and C. Crawford. 1954. “Design charts for air chambers on pump lines.” Trans. Am. Soc. Civ. Eng. 119 (1): 1025–1036.
Fok, A. T. 1978. “Design charts for air chamber on pump pipe lines.” J. Hydraul. Div. 104 (9): 1289–1303.
Gong, J., M. F. Lambert, A. R. Simpson, and A. C. Zecchin. 2014. “Detection of localized deterioration distributed along single pipelines by reconstructive MOC analysis.” J. Hydraul. Eng. 140 (2): 190–198. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000806.
Graze, H., and J. Forrest. 1974. “New design charts for air chambers.” In Proc., 15th Australasian Conf. on Hydraulics and Fluid Mechanics, 34–41. Melbourne, Australia: Univ. of Melbourne.
Jönsson, L. 1985. “Maximum transient pressures in a conduit with check valve and air entrainment.” In Proc., Int. Conf. on the Hydraulics of Pumping Stations, 55–76. Bedford, UK: BHRA.
Jönsson, L., and M. Larson. 1992. “Leak detection through hydraulic transient analysis.” In Pipeline systems, 273–286. Berlin: Springer.
Karney, B. W., and D. McInnis. 1992. “Efficient calculation of transient flow in simple pipe networks.” J. Hydraul. Eng. 118 (7): 1014–1030. https://doi.org/10.1061/(ASCE)0733-9429(1992)118:7(1014).
Kim, S. H. 2008a. “Impulse response method for pipeline systems equipped with water hammer protection devices.” J. Hydraul. Eng. 134 (7): 961–969. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:7(961).
Kim, Y. I. 2008b. “Advanced numerical and experimental transient modelling of water and gas pipeline flows incorporating distributed and local effects.” Ph.D. thesis, School of Civil, Environmental, and Mining Engineering, Univ. of Adelaide.
Kinsler, L. E., A. R. Frey, A. B. Coppens, and J. V. Sanders. 2000. Fundamentals of acoustics. New York: Wiley.
Lauchlan, C., M. Escarameia, R. May, R. Burrows, and C. Gahan. 2005. Air in pipelines: A literature review. Oxford, UK: HR Wallingford.
Lee, N., and C. Martin. 1999. “Experimental and analytical investigation of entrapped air in a horizontal pipe.” In Proc., 3rd ASME/JSME Joint Fluids Engineering Conf., 189–196. New York: ASME.
Lee, N. H. 2005. “Effect of pressurization and expulsion of entrapped air in pipelines.” Ph.D. thesis, School of Civil and Environmental Engineering, Georgia Institute of Technology.
Lee, P. J., H.-F. Duan, M. Ghidaoui, and B. Karney. 2013. “Frequency domain analysis of pipe fluid transient behaviour.” J. Hydraul. Res. 51 (6): 609–622. https://doi.org/10.1080/00221686.2013.814597.
Lee, P. J., J. P. Vítkovskỳ, M. F. Lambert, A. R. Simpson, and J. A. Liggett. 2005. “Frequency domain analysis for detecting pipeline leaks.” J. Hydraul. Eng. 131 (7): 596–604. https://doi.org/10.1061/(ASCE)0733-9429(2005)131:7(596).
Lee, P. J., J. P. Vítkovskỳ, M. F. Lambert, A. R. Simpson, and J. A. Liggett. 2008. “Discrete blockage detection in pipelines using the frequency response diagram: Numerical study.” J. Hydraul. Eng. 134 (5): 658–663. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:5(658).
Martin, C., and D. Wiggert. 1986. Hydraulic transients in circulating cooling water systems. Washington, DC: Electric Power Research Institute.
Martin, F. 2015. Artificial transmission lines for RF and microwave applications. New York: Wiley.
Orfanidis, S. J. 2002. Electromagnetic waves and antennas. New Brunswick, NJ: Rutgers Univ.
Purcell, P. J. 1997. “Case study of check-valve slam in rising main protected by air vessel.” J. Hydraul. Eng. 123 (12): 1166–1168. https://doi.org/10.1061/(ASCE)0733-9429(1997)123:12(1166).
Stephens, M., M. Lambert, A. Simpson, J. Vítkovskỳ, and J. Nixon. 2004a. “Field tests for leakage, air pocket, and discrete blockage detection using inverse transient analysis in water distribution pipes.” In Critical transitions in water and environmental resources management, 1–10. Reston, VA: ASCE.
Stephens, M., J. Vitkovsky, M. Lambert, A. Simpson, B. Karney, and J. Nixon. 2004b. “Transient analysis to assess valve status and topology in pipe networks.” In Proc., 9th Int. Conf. on Pressure Surges. Bedfordshire, UK: BHR Group.
Vasconcelos, J. G., and G. M. Leite. 2012. “Pressure surges following sudden air pocket entrapment in storm-water tunnels.” J. Hydraul. Eng. 138 (12): 1081–1089. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000616.
Vítkovskỳ, J., M. Lambert, A. Simpson, and A. Bergant. 2003. “Frequency-domain transient pipe flow solution including unsteady friction.” In Proc., Int. Conf. on Pumps, Electromechanical Devices and Systems Applied to Urban Water Management, 773–780. Lisse, Netherlands: A.A. Balkema.
Wood, D. J., S. Lingireddy, P. F. Boulos, B. W. Karney, and D. L. McPherson. 2005. “Numerical methods for modeling transient flow in distribution systems.” J. Am. Water Works Assn. 97 (7): 104–115. https://doi.org/10.1002/j.1551-8833.2005.tb10936.x.
Wylie, E. B., V. L. Streeter, and L. Suo. 1993. Fluid transients in systems, Vol. 1. Upper Saddle River, NJ: Prentice Hall Englewood Cliffs.
Xu, X., and B. Karney. 2017. “An overview of transient fault detection techniques.” In Modeling and monitoring of pipelines and networks, 13–37. Berlin: Springer.
Zhou, F. 2000. “Effects of trapped air on flow transients in rapidly filling sewers.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of Alberta.
Zhou, L., D. Liu, B. Karney, and P. Wang. 2013. “Phenomenon of white mist in pipelines rapidly filling with water with entrapped air pockets.” J. Hydraul. Eng. 139 (10): 1041–1051. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000765.
Zhou, L., D. Liu, B. Karney, and Q. Zhang. 2011. “Influence of entrapped air pockets on hydraulic transients in water pipelines.” J. Hydraul. Eng. 137 (12): 1686–1692. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000460.
Zhou, L., H. Wang, B. Karney, D. Liu, P. Wang, and S. Guo. 2018. “Dynamic behavior of entrapped air pocket in a water filling pipeline.” J. Hydraul. Eng. 144 (8): 04018045. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001491.
Zielke, W. 1968. “Frequency-dependent friction in transient pipe flow.” J. Basic Eng. 90 (1): 109–115. https://doi.org/10.1115/1.3605049.
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Journal of Hydraulic Engineering
Volume 147 • Issue 5 • May 2021
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© 2021 American Society of Civil Engineers.
History
Received: Jun 3, 2020
Accepted: Nov 19, 2020
Published online: Mar 10, 2021
Published in print: May 1, 2021
Discussion open until: Aug 10, 2021
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