Ultimate Bearing Capacity Analysis of Pipelines under Water Hammer
Publication: Journal of Pipeline Systems Engineering and Practice
Volume 15, Issue 1
Abstract
Water hammer caused by the closing or opening of valves during pipeline operation and the condensation-induced water hammer phenomenon will occur during steam-water direct condensation in the pipeline system of a power station. The existence of this effect seriously threatens the safe operation of pipelines. In this study, a theoretical and numerical analysis of the ultimate bearing capacity of pipelines under water hammer was carried out. First, a mechanical model of X80 pipelines under water hammer was established. Then, based on the stress function method, an analytical solution of the pipeline under water hammer was derived. Next, the ultimate bearing capacity of pipelines under water hammer was explored based on the Zhu-Leis criterion. Finally, to verify the accuracy of the proposed method, we performed finite-element analysis for the radial, hoop, and axial stresses of the pipe under the action of water hammer, and found that the hoop stress is the main cause of failure under the action of water hammer. The results show that compared with the finite-element method, the prediction error is less than 3%, which can meet the requirements of calculation accuracy. This study provides a reference for the evaluation of pipeline integrity and a novel idea for the ultimate bearing capacity of pipelines under water hammer.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was supported by the China Postdoctoral Science Foundation (2021M693504). In addition, we thank Han Ke of Hangzhou Dianzi University, who did a lot of work in the process of revising the paper.
References
Amano, K., M. Matsuoka, T. Ishihara, K. Tanaka, T. Inoue, Y. Kawaguchi, and M. Tsukamoto. 1986. “Significance of yield ratio limitation to plastic deformation of pipeline in high pressure proof test.” In Proc., Seventh Symp. on Line Pipe Research, 81–821. Washington, DC: Pipeline Research Committee, American Gas Association.
Amaya-Gómez, R., M. Sánchez-Silva, E. Bastidas-Arteaga, F. Schoefs, and F. Munoz. 2019. “Reliability assessments of corroded pipelines based on internal pressure—A review.” Eng. Fail. Anal. 98 (Apr): 190–214. https://doi.org/10.1016/j.engfailanal.2019.01.064.
Arifjanov, A., U. Jonqobilov, S. Jonqobilov, S. Khushiev, and J. Xusanova. 2020. “The influence of hydraulic friction on the maximium pressure of water hammer.” IOP Conf. Ser. Earth Environ. Sci. 614 (1): 012092.
Barten, W., A. Jasiulevicius, A. Manera, R. Macian-Juan, and O. Zerkak. 2008. “Analysis of the capability of system codes to model cavitation water hammers: Simulation of UMSICHT water hammer experiments with TRACE and RELAP5.” Nucl. Eng. Des. 238 (4): 1129–1145. https://doi.org/10.1016/j.nucengdes.2007.10.004.
Blinkov, V. N., O. I. Melikhov, V. I. Melikhov, and G. Y. Volkov. 2022. “Experimental study of the features of the occurrence and development of condensation-induced water hammer in a horizontal pipe.” Nucl. Eng. Des. 396 (Sep): 111890. https://doi.org/10.1016/j.nucengdes.2022.111890.
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).
Cao, H., M. Mohareb, and I. Nistor. 2020. “Finite element for the dynamic analysis of pipes subjected to water hammer.” J. Fluids Struct. 93 (Feb): 102845. https://doi.org/10.1016/j.jfluidstructs.2019.102845.
Chen, Y., H. Zhang, J. Zhang, X. Liu, X. Li, and J. Zhou. 2015. “Failure assessment of X80 pipeline with interacting corrosion defects.” Eng. Fail. Anal. 47 (Jan): 67–76. https://doi.org/10.1016/j.engfailanal.2014.09.013.
Chen, Z. F., W. P. Chu, H. J. Wang, Y. Li, W. Wang, W. M. Meng, and Y. X. Li. 2022. “Structural integrity assessment of hydrogen-mixed natural gas pipelines based on a new multi-parameter failure criterion.” Ocean Eng. 247 (Mar): 110731. https://doi.org/10.1016/j.oceaneng.2022.110731.
Chong, D., W. Liu, Q. Zhao, J. Yan, and T. Hibiki. 2021. “Oscillation characteristics of periodic condensation induced water hammer with steam discharged through a horizontal pipe.” Int. J. Heat Mass Transfer 173 (Jul): 121265. https://doi.org/10.1016/j.ijheatmasstransfer.2021.121265.
Chong, D., L. Wang, W. Liu, Z. Wang, and J. Yan. 2020. “Characteristics of entrapped bubbles of periodic condensation-induced water hammer in a horizontal pipe.” Int. J. Heat Mass Transfer 152 (May): 119534. https://doi.org/10.1016/j.ijheatmasstransfer.2020.119534.
Christopher, T., B. R. Sarma, P. G. Potti, B. N. Rao, and K. Sankarnarayanasamy. 2002. “A comparative study on failure pressure estimations of unflawed cylindrical vessels.” Int. J. Pres. Ves. Pip. 79 (1): 53–66. https://doi.org/10.1016/S0308-0161(01)00126-0.
Chun, M., and S. Yu. 2000. “A parametric study and a guide chart to avoid condensation-induced water hammer in a horizontal pipe.” Nucl. Eng. Des. 201 (2): 239–257. https://doi.org/10.1016/S0029-5493(00)00280-6.
Datta, P., A. Chakravarty, K. Ghosh, A. Mukhopadhyay, S. Sen, A. Dutta, and P. Goyal. 2016. “A numerical analysis on the effect of inlet parameters for condensation induced water hammer.” Nucl. Eng. Des. 304 (Aug): 50–62. https://doi.org/10.1016/j.nucengdes.2016.04.035.
Ghidaoui, M. S., M. Zhao, D. A. McInnis, and D. H. Axworthy. 2005. “A review of water hammer theory and practice.” Appl. Mech. Rev. 58 (1): 49–76. https://doi.org/10.1115/1.1828050.
Kandil, M., A. M. Kamal, and T. A. El-Sayed. 2020. “Effect of pipematerials on water hammer.” Int. J. Press. Vessels Pip. 179 (Jan): 103996. https://doi.org/10.1016/j.ijpvp.2019.103996.
Kiefner, J. F., W. A. Maxey, and A. R. Duffy. 1971. The significance of the yield-to-ultimate strength ratio of line pipe materials. Washington, DC: Pipeline Research Committee, American Gas Association.
Kim, M., and S. Choi. 2023. “Numerical investigation of condensation-induced water hammer effects in horizontal and vertical cold reheat pipes.” Int. J. Heat Mass Transfer 207 (Jun): 124030. https://doi.org/10.1016/j.ijheatmasstransfer.2023.124030.
Law, M., G. Bowie, and L. Fletcher. 2004. “Burst pressure and failure strain in line pipe, Part 2: Comparisons of burst-pressure and failure-strain formulas.” J. Pipeline Integrity 3 (Jan): 102–106.
Li, Y., W. Wang, and Z. Chen. 2022. “An innovative failure criterion for metal cylindrical shells under explosive loads.” Materials (Basel) 15 (13): 4376. https://doi.org/10.3390/ma15134376.
Liu, X., H. Zhang, Y. Han, M. Xia, and W. Zheng. 2016. “A semi-empirical model for peak strain prediction of buried X80 steel pipelines under compression and bending at strike-slip fault crossings.” J. Nat. Gas Sci. Eng. 32 (May): 465–475. https://doi.org/10.1016/j.jngse.2016.04.054.
Marcinkiewicz, J., A. Adamowski, and M. Lewandowski. 2008. “Experimental evaluation of ability of Relap5, Drako, Flowmaster2 and program using unsteady wall friction model to calculate water hammer loadings on pipelines.” Nucl. Eng. Des. 238 (8): 2084–2093. https://doi.org/10.1016/j.nucengdes.2007.10.027.
Martins, N. M., B. Brunone, S. Meniconi, H. M. Ramos, and D. I. Covas. 2017. “CFD and 1D approaches for the unsteady friction analysis of low Reynolds number turbulent flows.” J. Hydraul. Eng. 143 (12): 04017050. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001372.
Maxey, W. A. 1986. “Y/T significance in line pipe.” In Proc., Seventh Symp. on Line Pipe Research, 91–918. Washington, DC: American Gas Association.
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.
Netto, T. A., U. S. Ferraz, and S. F. Estefen. 2005. “The effect of corrosion defects on the burst pressure of pipelines.” J. Constr. Steel Res. 61 (8): 1185–1204. https://doi.org/10.1016/j.jcsr.2005.02.010.
Qiu, Y., X. Hu, F. Zhou, Z. Li, Y. Li, and Y. Luo. 2022. “Water hammer response characteristics of wellbore-fracture system: Multi-dimensional analysis in time, frequency and quefrency domain.” J. Pet. Sci. Eng. 213 (Jun): 110425. https://doi.org/10.1016/j.petrol.2022.110425.
Schmitt, C., G. Pluvinage, E. Hadj-Taieb, and R. Akid. 2006. “Water pipeline failure due to water hammer effects.” Fatigue Fract. Eng. Mater. Struct. 29 (12): 1075–1082. https://doi.org/10.1111/j.1460-2695.2006.01071.x.
Seck, A., M. Fuamba, and R. Kahawita. 2017. “Finite-volume solutions to the water-hammer equations in conservation form incorporating dynamic friction using the Godunov scheme.” J. Hydraul. Eng. 143 (9): 04017029. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001333.
Shuai, Y., X. H. Wang, and Y. F. Cheng. 2020. “Modeling of local buckling of corroded X80 gas pipeline under axial compression loading.” J. Nat. Gas Sci. Eng. 81 (Sep): 103472. https://doi.org/10.1016/j.jngse.2020.103472.
Stewart, G., F. J. Klever, and D. Ritchie. 1994. An analytical model to predict the burst capacity of pipelines. New York: ASME.
Streeter, V. L., and E. B. Wylie. 1967. Liquid transients. New York: McGraw-Hill.
Subani, N., and N. Amin. 2015. “Analysis of water hammer with different closing valve laws on transient flow of hydrogen-natural gas mixture.” Abstr. Appl. Anal. 2015 (Jan): 1–12. https://doi.org/10.1155/2015/510675.
Suo, L., and E. B. Wylie. 1989. “Impulse response method for frequency-dependent pipeline transients.” J. Fluids Eng. Trans. ASME 111 (4): 478–483. https://doi.org/10.1115/1.3243671.
Timoshenko, S. P., and J. N. Goodier. 1970. Theory of elasticity. New York: McGraw-Hill.
Vitkovsky, J. P., A. Bergant, A. R. Simpson, and M. F. Lambert. 2006. “Systematic evaluation of one-dimensional unsteady friction models in simple pipelines.” J. Hydraul. Eng. 132 (7): 696–708. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:7(696).
Wang, L., X. Yue, D. Chong, W. Chen, and J. Yan. 2018. “Experimental investigation on the phenomenon of steam condensation induced water hammer in a horizontal pipe.” Exp. Therm. Fluid Sci. 91 (Feb): 451–458. https://doi.org/10.1016/j.expthermflusci.2017.10.036.
Xu, X., and B. Karney. 2017. “An overview of transient fault detection techniques.” In Modeling and monitoring of pipelines and networks, edited by C. Verde and L. Torres, 13–37. Cham, Switzerland: Springer.
Zhang, S. H., J. R. Liu, and X. Y. Liu. 2021. “A weighted unification yield criterion and its application in analysis of burst pressure of pipe elbow.” Int. J. Press. Vessels Pip. 194 (Dec): 104561. https://doi.org/10.1016/j.ijpvp.2021.104561.
Zhu, X. K., and B. N. Leis. 2006. “Average shear stress yield criterion and its application to plastic collapse analysis of pipelines.” Int. J. Press. Vessels Pip. 83 (9): 663–671. https://doi.org/10.1016/j.ijpvp.2006.06.001.
Zhu, X. K., and B. N. Leis. 2007. “Theoretical and numerical predictions of burst pressure of pipelines.” J. Press. Vessel Technol. 129 (4): 644–652. https://doi.org/10.1115/1.2767352.
Information & Authors
Information
Published In
Journal of Pipeline Systems Engineering and Practice
Volume 15 • Issue 1 • February 2024
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Apr 15, 2023
Accepted: Sep 26, 2023
Published online: Dec 14, 2023
Published in print: Feb 1, 2024
Discussion open until: May 14, 2024
ASCE Technical Topics:
- Axial forces
- Continuum mechanics
- Dynamics (solid mechanics)
- Energy engineering
- Energy sources (by type)
- Engineering fundamentals
- Engineering mechanics
- Finite element method
- Forces (type)
- Foundation design
- Foundations
- Geotechnical engineering
- Hydro power
- Infrastructure
- Load bearing capacity
- Methodology (by type)
- Numerical methods
- Pipeline hydraulics
- Pipeline management
- Pipeline systems
- Pipelines
- Renewable energy
- Solid mechanics
- Stress (by type)
- Stress analysis
- Structural analysis
- Structural engineering
- Water hammer
- Water pipelines
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