Abstract
The transient flow phenomenon in a pipeline accounts for the flow variations with time and space. The transient energy analysis (TEA) overlooks the process as it sums the energy of the entire pipe domain and reports it at each moment. The current research takes advantage of this approach to investigate different influential factors in water pipelines, including steady friction, unsteady friction, and pipe wall viscoelasticity, to figure out the energy conversion and dissipation during a transient flow process. To this end, energy expressions are derived and compared for both elastic and viscoelastic pipeline systems. Two different viscoelastic materials—oriented polyvinyl chloride (PVC-O) and high-density polyethylene (HDPE)—are applied in the analysis to compare the proportions of the energy dissipation by different influential factors. The results reveal that at small transient perturbations, the influence of the steady friction is dominant in the energy dissipation, and the impact of viscoelasticity grows with the excitation intensity and valve’s oscillation frequency. Besides, spatial variations of energy dissipation (per unit of length) along the pipeline have been investigated in single and branched systems, demonstrating significant deviations by distance from the excitation source.
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Data Availability Statement
All data, models, or code generated or used during the study are available from the corresponding author by request.
Acknowledgments
This research work was supported by the Hong Kong Research Grants Council (RGC) under Project No. 15200719.
References
Ben Iffa, R., and A. Triki. 2019. “Assessment of inline technique-based water hammer control strategy in water supply systems.” J. Water Supply Res. Technol. AQUA 68 (7): 562–572. https://doi.org/10.2166/aqua.2019.095.
Brunone, B., and A. Berni. 2010. “Wall shear stress in transient turbulent pipe flow by local velocity measurement.” J. Hydraul. Eng. 136 (10): 716–726. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000234.
Brunone, B., M. Cacciamani, and S. Meniconi. 2011. “Unsteady friction and visco-elasticity in pipe fluid transients.” J. Hydraul. Res. 49 (3): 402–403. https://doi.org/10.1080/00221686.2011.563648.
Brunone, B., and U. M. Golia. 2008. “Discussion of ‘Systematic evaluation of one-dimensional unsteady friction models in simple pipelines’ by J. P. Vitkovsky, A. Bergant, A. R. Simpson, and M. F. Lambert.” J. Hydraul. Eng. 134 (2): 282–284. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:2(282).
Brunone, B., U. M. Golia, and M. Greco. 1995. “Effects of two-dimensionality on pipe transients modelling.” J. Hydraul. Eng. 121 (12): 906–912. https://doi.org/10.1061/(ASCE)0733-9429(1995)121:12(906).
Capponi, C., S. Meniconi, P. J. Lee, B. Brunone, and M. Cifrodelli. 2020. “Time-domain analysis of laboratory experiments on the transient pressure damping in a leaky polymeric pipe.” Water Resour. Manage. 34 (2): 501–514. https://doi.org/10.1007/s11269-019-02454-x.
Chaudhry, M. H. 2014. Applied hydraulic transients. New York: Springer.
Che, T. C., H. F. Duan, and P. J. Lee. 2021. “Transient wave-based methods for anomaly detection in fluid pipes: A review.” Mech. Syst. Sig. Process. 160 (5): 107874. https://doi.org/10.1016/j.ymssp.2021.107874.
Che, T. C., H. F. Duan, B. Pan, P. J. Lee, and M. Ghidaoui. 2019. “Energy analysis of the resonant frequency shift pattern induced by nonuniform blockages in pressurized water pipes.” J. Hydraul. Eng. 145 (7): 04019027. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001607.
Covas, D., I. Stoianov, J. F. Mano, H. Ramos, N. Graham, and C. Maksimovic. 2005. “The dynamic effect of pipe-wall viscoelasticity in hydraulic transients. Part II—Model development, calibration and verification.” J. Hydraul. Res. 43 (1): 56–70. https://doi.org/10.1080/00221680509500111.
Duan, H. F. 2016. “Sensitivity analysis of transient based frequency domain method for extended blockage detection in water pipeline systems.” J. Water Resour. Plann. Manage. 142 (4): 04015073. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000625.
Duan, H. F. 2018. “Accuracy and sensitivity evaluation of TFR method for leak detection in multiple-pipeline water supply systems.” Water Resour. Manage. 32 (6): 2147–2164. https://doi.org/10.1007/s11269-018-1923-7.
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., M. Ghidaoui, P. J. Lee, and Y. K. Tung. 2010a. “Unsteady friction and visco-elasticity in pipe fluid transients.” J. Hydraul. Res. 48 (3): 354–362. https://doi.org/10.1080/00221681003726247.
Duan, H. F., M. S. Ghidaoui, and Y. K. Tung. 2010b. “Energy analysis of viscoelasticity effect in pipe fluid transients.” J. Appl. Mech. 77 (4): 044503. https://doi.org/10.1115/1.4000915.
Duan, H. F., and P. J. 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. F., P. J. Lee, T. C. Che, M. S. Ghidaoui, B. W. Karney, and A. A. Kolyshkin. 2017a. “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., P. J. Lee, M. S. Ghidaoui, and Y.-K. Tung. 2012. “System response function–based leak detection in viscoelastic pipelines.” J. Hydraul. Eng. 138 (2): 143–153. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000495.
Duan, H. F., S. Meniconi, P. Lee, B. Brunone, and M. S. Ghidaoui. 2017b. “Local and integral energy-based evaluation for the unsteady friction relevance in transient pipe flows.” J. Hydraul. Eng. 143 (7): 04017015. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001304.
Duan, H. F., B. Pan, M. Wang, L. Chen, F. Zheng, and Y. Zhang. 2020. “State-of-the-art review on the transient flow modeling and utilization for urban water supply system (UWSS) management.” J. Water Supply: Res. Technol. AQUA 69 (8): 858–893. https://doi.org/10.2166/aqua.2020.048.
Ferrante, M. 2021. “Transients in a series of two polymeric pipes of different materials.” J. Hydraul. Res. 2021 (Jan): 1–10. https://doi.org/10.1080/00221686.2020.1844811.
Ferrante, M., and C. Capponi. 2018. “Comparison of viscoelastic models with a different number of parameters for transient simulations.” J. Hydroinf. 20 (1): 1–17. https://doi.org/10.2166/hydro.2017.116.
Gong, J., M. L. Stephens, and M. F. Lambert. 2018a. “Analysis of the frequency-dependent attenuation of transient pressure waves in plastic pipes.” In Proc., WDSA/CCWI Joint Conf. Kingston, Canada: OJS/PKP.
Gong, J., M. L. Stephens, M. F. Lambert, A. C. Zecchin, and A. R. Simpson. 2018b. “Pressure surge suppression using a metallic-plastic-metallic pipe configuration.” J. Hydraul. Eng. 144 (6): 04018025. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001468.
Karney, B., A. Malekpour, and J. Nault. 2014. “An energy approach to studying pipe network transients.” Procedia Eng. 89 (C): 1298–1305. https://doi.org/10.1016/j.proeng.2014.11.443.
Karney, B. W. 1990. “Energy relations in transient closed-conduit flow.” J. Hydraul. Eng. 116 (10): 1180–1196. https://doi.org/10.1061/(ASCE)0733-9429(1990)116:10(1180).
Keramat, A., and A. Haghighi. 2014. “Straightforward transient-based approach for the creep function determination in viscoelastic pipes.” J. Hydraul. Eng. 140 (12): 04014058. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000929.
Keramat, A., X. Wang, M. Louati, S. Meniconi, B. Brunone, and M. S. Ghidaoui. 2019. “Objective functions for transient-based pipeline leakage detection in a noisy environment: Least square and matched-filter.” J. Water Resour. Plann. Manage. 145 (10): 04019042. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001108.
Kim, S. H. 2017. “Multiple leakage function for a simple pipeline system.” Water Resour. Manage. 31 (9): 2659–2673. https://doi.org/10.1007/s11269-017-1650-5.
Kung, C.-S., and X.-L. Yang. 1993. “Energy interpretation of hydraulic transients in power plant with surge tank.” J. Hydraul. Res. 31 (6): 825–840. https://doi.org/10.1080/00221689309498821.
Lee, P. J. 2005. “Using system response functions of liquid pipelines for leak and blockage detection.” Ph.D. dissertation, School of Civil, Environmental and Mining Engineering, Univ. of Adelaide.
Lee, P. J. 2013. “Energy analysis for the illustration of inaccuracies in the linear modeling of pipe fluid transients.” J. Hydraul. Res. 51 (2): 133–144. https://doi.org/10.1080/00221686.2012.734861.
Liggett, J. A., and L.-C. Chen. 1994. “Inverse transient analysis in pipe networks.” J. Hydraul. Eng. 120 (8): 934–955. https://doi.org/10.1061/(ASCE)0733-9429(1994)120:8(934).
Louati, M., M. S. Ghidaoui, M. M. Tekitek, and P. Joseph Lee. 2020. “Wave-leak interaction in a simple pipe system.” J. Hydraul. Eng. 146 (4): 04020013. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001714.
Meniconi, S., B. Brunone, M. Ferrante, and C. Capponi. 2016. “Mechanism of interaction of pressure waves at a discrete partial blockage.” J. Fluids Struct. 62 (Apr): 33–45. https://doi.org/10.1016/j.jfluidstructs.2015.12.010.
Meniconi, S., B. Brunone, M. Ferrante, and C. Massari. 2012. “Transient hydrodynamics of in-line valves in viscoelastic pressurized pipes: Long-period analysis.” Exp. Fluids 53 (1): 265–275. https://doi.org/10.1007/s00348-012-1287-3.
Meniconi, S., B. Brunone, M. Ferrante, and C. Massari. 2014. “Energy dissipation and pressure decay during transients in viscoelastic pipes with an in-line valve.” J. Fluids Struct. 45 (Feb): 235–249. https://doi.org/10.1016/j.jfluidstructs.2013.12.013.
Meniconi, S., C. Capponi, M. Frisinghelli, and B. Brunone. 2021. “Leak detection in a real transmission main through transient tests: Deeds and misdeeds.” Water Resour. Res. 57 (3): e2020WR027838. https://doi.org/10.1029/2020WR027838.
Meniconi, S., H. F. Duan, P. J. Lee, B. Brunone, M. S. Ghidaoui, and M. Ferrante. 2013. “Experimental investigation of coupled frequency and time-domain transient test–based techniques for partial blockage detection in pipelines.” J. Hydraul. Eng. 139 (10): 1033–1040. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000768.
Mitosek, M., and M. Chorzelski. 2003. “Influence of visco-elasticity on pressure wave velocity in polyethylene MDPE pipe.” Arch. Hydro-Eng. Environ. Mech. 50 (2): 127–140.https://repo.pw.edu.pl/info/article/WUT297507/.
Pan, B., H. F. Duan, S. Meniconi, and B. Brunone. 2021. “FRF-based transient wave analysis for the viscoelastic parameters identification and leak detection in water-filled plastic pipes.” Mech. Syst. Sig. Process. 146 (Jan): 107056. https://doi.org/10.1016/j.ymssp.2020.107056.
Pan, B., H. F. Duan, S. Meniconi, K. Urbanowicz, T. Che, and B. Brunone. 2020. “Multistage frequency-domain transient-based method for the analysis of viscoelastic parameters of plastic pipes.” J. Hydraul. Eng. 146 (3): 04019068. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001700.
Pezzinga, G., B. Brunone, D. Cannizzaro, M. Ferrante, S. Meniconi, and A. Berni. 2014. “Two-dimensional features of viscoelastic models of pipe transients.” J. Hydraul. Eng. 140 (8): 04014036. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000891.
Pezzinga, G., B. Brunone, and S. Meniconi. 2016. “On the relevance of pipe period on Kelvin-Voigt viscoelastic parameters: 1-D and 2-D inverse transient analysis” J. Hydraul. Eng. 142 (12): 04016063. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001216.
Ranginkaman, M. H., A. Haghighi, and P. J. Lee. 2019. “Frequency domain modelling of pipe transient flow with the virtual valves method to reduce linearization errors.” Mech. Syst. Sig. Process. 131 (Sep): 486–504. https://doi.org/10.1016/j.ymssp.2019.05.065.
Roberts, A. 1998. Standard handbook of environmental engineering. New York: McGraw-Hill.
Sun, J. L., R. Wang, and H. F. Duan. 2016. “Multiple-fault detection in water pipelines using transient time-frequency analysis.” J. Hydroinf. 18 (6): 975–989. https://doi.org/10.2166/hydro.2016.232.
Vardy, A. E., and J. M. B. Brown. 1995. “Transient, turbulent, smooth pipe friction.” J. Hydraul. Res. 33 (4): 435–456. https://doi.org/10.1080/00221689509498654.
Vardy, A. E., and J. M. B. Brown. 2003. “Transient turbulent friction in smooth pipe flows.” J. Sound Vib. 259 (5): 1011–1036. https://doi.org/10.1006/jsvi.2002.5160.
Vardy, A. E., and J. M. B. Brown. 2004. “Transient turbulent friction in fully rough pipe flows.” J. Sound Vib. 270 (1–2): 233–257. https://doi.org/10.1016/S0022-460X(03)00492-9.
Wang, X., and M. S. Ghidaoui. 2018. “Pipeline leak detection using the matched-field processing method.” J. Hydraul. Eng. 144 (6): 04018030. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001476.
Wineman, A. S., and K. R. Rajagopal. 2000. Mechanical response of polymers: An introduction. Cambridge, UK: Cambridge University Press.
Wylie, E. B., V. L. Streeter, and L. Suo. 1993. Fluid transients in systems. New York: Prentice Hall Englewood Cliffs.
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Received: Apr 1, 2021
Accepted: Sep 17, 2021
Published online: Oct 18, 2021
Published in print: Jan 1, 2022
Discussion open until: Mar 18, 2022
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