Mohsin, Z., Sulaiman, Z. (2023). Application of the Method of Characteristics with Unsteady Friction Model for Numerical Modeling of Transient Flow Induced by Valve Closure. , 28(2), 209-225. doi: 10.33899/rengj.2023.140924.1262
Zakariya Zainel Mohsin; Zeyad Ayoob Sulaiman. "Application of the Method of Characteristics with Unsteady Friction Model for Numerical Modeling of Transient Flow Induced by Valve Closure". , 28, 2, 2023, 209-225. doi: 10.33899/rengj.2023.140924.1262
Mohsin, Z., Sulaiman, Z. (2023). 'Application of the Method of Characteristics with Unsteady Friction Model for Numerical Modeling of Transient Flow Induced by Valve Closure', , 28(2), pp. 209-225. doi: 10.33899/rengj.2023.140924.1262
Mohsin, Z., Sulaiman, Z. Application of the Method of Characteristics with Unsteady Friction Model for Numerical Modeling of Transient Flow Induced by Valve Closure. , 2023; 28(2): 209-225. doi: 10.33899/rengj.2023.140924.1262

Application of the Method of Characteristics with Unsteady Friction Model for Numerical Modeling of Transient Flow Induced by Valve Closure

Al-Rafidain Engineering Journal (AREJ)
Article 19, Volume 28, Issue 2, September 2023, Pages 209-225    PDF (5.56 M)
Document Type: Research Paper
DOI: 10.33899/rengj.2023.140924.1262
Authors
Zakariya Zainel Mohsin* 1; Zeyad Ayoob Sulaiman2
1University Presidency, University of Telafer, Ninveh, Iraq
2Dams and Water Resources Engineering Department, Collage of Engineering, University of Mosul, Mosul, Iraq
Abstract
The paper presents a comprehensive methodology for simulating transient flow in pipeline systems induced by valve closure, using the method of characteristics with an unsteady friction model. The research focuses on the instantaneous acceleration-based (IAB) model, a mathematical model employed to describe water hammer behavior in pipeline systems. The methodology includes the development of a mathematical model based on governing fluid dynamics equations, numerical simulation using the proposed model, and validation against experimental data obtained from laboratory-scale pipelines. The study compares the performance of steady and unsteady friction models, revealing the limitations and strengths of each in simulating water hammer events. The paper also discusses the estimation of the damping coefficient (k) using trial-and-error and Reddy's analytical method, and the influence of numerical parameters on the IAB model performance. The numerical results demonstrate good agreement with experimental data, validating the proposed model's accuracy. The methodology presented in this paper can serve as a valuable tool for analyzing and designing pipeline systems subject to water hammer phenomena. It provides insights into transient flow characteristics induced by valve closure and assists in identifying appropriate mitigation measures to prevent damage to the pipeline system.
Keywords
Method of Characteristic; Water Hammer; Unsteady Friction; Numerical Modeling
References
  1. A. EL-Turki, “Modeling of hydraulic transients in closed conduits,” Colorado State University, USA, 2013.
  2. A. M. EL Zahaby, E. El Agouz, M. Amr, A. El-Rahman, and others, “Water Hammer Phenomenon: Analysis and Solutions” Journal of Engineering Research, vol. 3, no. June, pp. 23–34, 2019.
  3. O. M. Abdeldayem, D. Ferràs, S. Van Der Zwan, and M. Kennedy, “Analysis of unsteady friction models used in engineering software for water hammer analysis: Implementation case in Wanda,” Water (Switzerland), vol. 13, no. 4, Feb. 2021, doi: 10.3390/w13040495.
  4. M. H. Chaudhry, Applied Hydraulic Transients, Third Edition. New York, NY: Springer, 2014.
  5. R. Kjerrumgaard Jensen, J. Kær Larsen, K. Lindgren Lassen, M. Mandø, and A. Andreasen, “Implementation and validation of a free open source 1d water hammer code,” Fluids, vol. 3, no. 3, p. 64, 2018.
  6. G. Bertaglia, M. Ioriatti, A. Valiani, M. Dumbser, and V. Caleffi, “Numerical methods for hydraulic transients in visco-elastic pipes,” J Fluids Struct, vol. 81, pp. 230–254, Aug. 2018, doi: 10.1016/j.jfluidstructs.2018.05.004.
  7. M. Zeidan and A. Ostfeld, “Unsteady Friction Modeling Technique for Lagrangian Approaches in Transient Simulations,” Water (Basel), vol. 14, no. 15, p. 2437, Aug. 2022, doi: 10.3390/w14152437.
  8. J. Duan, C. Li, and J. Jin, “Establishment and Solution of Four Variable Water Hammer Mathematical Model for Conveying Pipe,” Energies (Basel), vol. 15, no. 4, Feb. 2022, doi: 10.3390/en15041387.
  9.  M. Kubrak, A. Kodura, A. Malesińska, and K. Urbanowicz, “Water Hammer in Steel–Plastic Pipes Connected in Series,” Water (Switzerland), vol. 14, no. 19, Oct. 2022, doi: 10.3390/w14193107.
  10. R. NOROOZ, H. SHAMLOO, and M. MOUSAVIFARD, “A review of one-dimensional unsteady friction models for transient pipe flow,” Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vol. 36, no. 3, pp. 2278–2288, 2015.
  11. H. M. al-Yassiri, K. H. Ali, and J. M. Jalil, “Three-dimensional numerical study of flow characteristics through a centrifugal pump,” Al-Rafidain Engineering Journal (AREJ), vol. 16, no. 1, pp. 75–88, 2008.
  12. B. Zhang, W. Wan, and M. Shi, “Experimental and numerical simulation of water hammer in gravitational pipe flow with continuous air entrainment,” Water (Switzerland), vol. 10, no. 7, Jul. 2018, doi: 10.3390/w10070928.
  13. M. H. Arefi, M. Ghaeini-Hessaroeyeh, and R. Memarzadeh, “Numerical modeling of water hammer in long water transmission pipeline,” Appl Water Sci, vol. 11, no. 8, Aug. 2021, doi: 10.1007/s13201-021-01471-9.
  14. R. M. Khalaf, A. H. Kadoury, and W. J Al-Hilo, “A COMPUTER EXPERT SYSTEM FOR ANALYSIS AND CONTROL OF WATER HAMMER PROBLEMS,” Al-Rafidain Engineering Journal (AREJ), vol. 13, no. 3, pp. 36–51, 2005.
  15. S. Pal, P. R. Hanmaiahgari, and B. W. Karney, “An overview of the numerical approaches to water hammer modelling: The ongoing quest for practical and accurate numerical approaches,” Water (Switzerland), vol. 13, no. 11. MDPI AG, Jun. 01, 2021. doi: 10.3390/w13111597.
  16. M. S. Alhmdany, M. A. Alsawaf, and Z. A. Sulaiman, “Numerical and Physical Modelling to Dissipate the Flow Energy of Spillway Using Multiple Rows of Chute Blocks,” Al-Rafidain Engineering Journal (AREJ), vol. 27, no. 1, pp. 172–180, 2022.
  17. J. B. Turpin, “Variable step integration coupled with the method of characteristics solution for water-hammer analysis, a case study,” in 52nd JANNAF Propulsion Meeting, 2004.
  18. J. P. Vítkovský, A. Bergant, A. R. Simpson, and M. F. Lambert, “Systematic evaluation of one-dimensional unsteady friction models in simple pipelines,” Journal of Hydraulic Engineering, vol. 132, no. 7, pp. 696–708, 2006.
  19. S. Khilqa, M. Elkholy, M. Al-Tofan, J. M. Caicedo, and M. H. Chaudhry, “Damping in transient pressurized flows,” Journal of Hydraulic Engineering, vol. 145, no. 10, 2019.
  20. X. Duan, J. Zhu, X. Li, and X. Tang, “Comprehensive application analyses of elastic models and viscoelastic models in transient flows in polymeric pipelines,” Journal of Hydroinformatics, vol. 24, no. 5, pp. 1020–1052, 2022.
  21. R. K. Jensen, J. K. Larsen, and K. L. Lassen, “Modelling of a Two Phase Water Hammer,” Aalborg University Esbjerg Esbjerg, Denmark, 2018.
  22. B. Brunone, B. W. Karney, M. Mecarelli, and M. Ferrante, “Velocity profiles and unsteady pipe friction in transient flow,” J Water Resour Plan Manag, vol. 126, no. 4, pp. 236–244, 2000.
  23.  A. E. Vardy and J. M. B. Brown, “Transient turbulent friction in smooth pipe flows,” J Sound Vib, vol. 259, no. 5, pp. 1011–1036, 2003.
  24. H. Prashanth Reddy, W. F. Silva-Araya, and M. Hanif Chaudhry, “Estimation of decay coefficients for unsteady friction for instantaneous, acceleration-based models,” Journal of Hydraulic Engineering, vol. 138, no. 3, pp. 260–271, 2012.
  25. S. Khilqa, M. Elkholy, M. Al-Tofan, J. M. Caicedo, and M. H. Chaudhry, “Uncertainty quantification for damping in transient pressure oscillations,” J Water Resour Plan Manag, vol. 145, no. 9, p. 4019039, 2019.
  26. A. Bergant, A. Ross Simpson, and J. Vìtkovsk, “Developments in unsteady pipe flow friction modelling,” Journal of hydraulic research, vol. 39, no. 3, pp. 249–257, 2001.
  27. Z. Cao, Z. Wang, J. Deng, X. Guo, and L. Lu, “Unsteady friction model modified with compression-expansion effects in transient pipe flow,” Aqua Water Infrastructure, Ecosystems and Society, vol. 71, no. 2, pp. 330–344, Feb. 2022, doi: 10.2166/aqua.2022.144.
  28. R. K. Jensen, J. K. Larsen, K. L. Lassen, M. Mandø, and A. Andreasen, “Implementation and validation of a free open source 1D water hammer code,” Fluids, vol. 3, no. 3, Sep. 2018, doi: 10.3390/fluids3030064.
  29. K. Urbanowicz et al., “Modeling transient pipe flow in plastic pipes with modified discrete bubble cavitation model,” Energies (Basel), vol. 14, no. 20, Oct. 2021, doi: 10.3390/en14206756.
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