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Numerical Analysis of Transient Flow in a Hydraulic Tree Network: Zarroug Aqueduct Network in Gafsa, Southern Tunisia

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Advances in Acoustics and Vibration III (ICAV 2021)

Part of the book series: Applied Condition Monitoring ((ACM,volume 17))

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Abstract

The numbers of long-distance transport pipelines constructed in areas with relatively complex terrain and large topographic changes have increased in recent years. Hydraulic transients are characterized by an abrupt change in the flow condition leading the pressure and the velocity of water to undergo rapid changes over time. Such transient events are likely to damage water distribution systems if not equipped with protection devices. The sudden variation in pressure propagates throughout the hydraulic system and it may result in the breakdown to the network pipelines. The aim of this paper is to numerically analyze the transient water flow in Zarroug aqueduct network. This network feeds the Tunisian Chemical Group in the city of Mdhila, Gafsa. After establishing the steady state conditions, the transient regime is studied using the method of characteristics. The numerical model is solved via a Matlab code and the temporal pressure evolution is followed up. The phenomenon of cavitations appears in a repetitive manner for which the pressure drop reaches very risky values that can collapse the pipe network. Through this modest work we want to study in our future works the entire network in order to protect it against degradations.

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References

  • Menabrea, L.F.: Note sur les effets du choc de l’eau dans les conduites. C. R. Hebd. Seances Acad. Sci. 47, 221–224 (1885)

    Google Scholar 

  • Allievi, L.: Teoria generale del moto perturbato dell’acquali nei turbi in pressione. Annali della societa degli Ingeneri ed architetti italiani. Milano (1903)

    Google Scholar 

  • Vardy, A.E., Hwang, K.L.: A characteristics model of transient friction in pipes. J. Hydraul. Res. 29(5), 669–684 (1991). https://doi.org/10.1080/00221689109498983

    Article  Google Scholar 

  • Lister, M.: The numerical solution of hyperbolic partial differential equations by the method of characteristics. In: Ralston, A., Wilf, H.S. (eds.) Mathematical Methods of Digital Computers. Wiley, New York, pp. 165–179 (1960)

    Google Scholar 

  • Trikha, A.K.: an efficient method for simulating frequency-dependent friction in transient liquid flow. ASME J. Fluids Eng. 97, 97–105 (1975). https://doi.org/10.1115/1.3447224

    Article  Google Scholar 

  • Fox, J.A.: Hydraulic Analysis and Unsteady Flow in Pipe Networks. MacMillan Press, London (1977)

    Book  Google Scholar 

  • Ouragh, Y.: Ecoulement forcé en hydraulique. Tome 2, Edition O.P.U. Alger (1994)

    Google Scholar 

  • Wylie, E.B., Streeter, V.L.: Fluid Transients. MacGraw-Hill (1978)

    Google Scholar 

  • Goldberg, D.E., Wylie, E.B.: Characteristics method using time-line interpolations. J. Hydraul. Eng. 109:5(670) (1983). https://doi.org/10.1061/(ASCE)0733-9429

  • Afshar, M.H., Rohani, M.: Water hammer simulation by implicit method of characteristic. Int. J. Press. Vessels Pip. 85, 851–859 (2008)

    Article  Google Scholar 

  • Colebrook, C.F., White, C.M.: Experiments with fluid friction in roughened pipes. Proc. R. Soc. A Math. Phys. Eng. Sci. 161(906), 367–381 (1937). https://doi.org/10.1098/rspa.1937.0150

    Article  Google Scholar 

  • Gray, C.A.M.: Analysis of water hammer by characteristics. Trans. Am. Soc. Civ. Eng. 119, 1176–1194 (1954)

    Article  Google Scholar 

  • Brkic, D., Praks, P.: Accurate and efficient explicit approximations of the Colebrook flow friction equation based on the Wright ω-function. Mathematics 7(34) (2019). https://doi.org/10.3390/math7010034

  • Hafsi, Z.: Accurate explicit analytical solution for Colebrook-White equation. Mech. Res. Commun. 111 (2021). https://doi.org/10.1016/j.mechrescom.2020.103646

  • Joukovosky, N.: Water hammer. Proc. Am. Waterworks Assoc. vol. 24 (1904)

    Google Scholar 

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Ayed, L., Hafsi, Z. (2021). Numerical Analysis of Transient Flow in a Hydraulic Tree Network: Zarroug Aqueduct Network in Gafsa, Southern Tunisia. In: Feki, N., Abbes, M.S., Taktak, M., Amine Ben Souf, M., Chaari, F., Haddar, M. (eds) Advances in Acoustics and Vibration III. ICAV 2021. Applied Condition Monitoring, vol 17. Springer, Cham. https://doi.org/10.1007/978-3-030-76517-0_29

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  • DOI: https://doi.org/10.1007/978-3-030-76517-0_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-76516-3

  • Online ISBN: 978-3-030-76517-0

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