Abstract
Consideration is given in this paper to the numerical solution of the transient flow in highly flexible pipes such as rubber tubing and arterial system. The transient regime is provoked by the waterhammer phenomenon. A mathematical model constituted of continuity and motion equations is presented. In this model, the tube wall is assumed to be elastic and the compressibility of the liquid is neglected. To take into account the fluid-structure interaction, a nonlinear relationship between the pressure and the cross-section area of the pipe is developed. A system of two nonlinear partial differential equations of hyperbolic type is formulated. The irregular grid characteristics method is applied to solve this system. The numerical developed algorithm permits to get indications on the evolution of the pressure waves due to a valve fast closing at the downstream end of the flexible pipe. Computation results show that the pressure wave propagation is significantly influenced by the pipe wall elasticity.
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References
Bergeron, L.: Du coup de bélier en hydraulique en coup de foudre en électricité, Dunod, Paris (1049)
Streeter, V.L., Wylie, E.B.: Hydraulic transients. McGraw Book Company, New York (1967)
Rooz, D., Young, F., Rogge, T.R.: A Finite-Element Simulation of Pulsatile Flow in Flexible Obstructed Tubes. ASME Journal of Biomechanical Engineering 104, 161–167 (1982)
Porenta, G., Young, D.F., Rogge, T.R.: A Finite-Element Model of Blood Flow in Arteries Including Taper, Branches and Obstructions. ASME Journal of Biomechanical Engineering 108, 119–124 (1986)
Stuckenbruck, S., Wiggert, D.C.: Unsteady flow through flexible tubing with coupled axial wall motion. In: 5th International Conference on Pressure Surges Hannover Germany, September 11-17 (1986)
Karra, C., Abid, S., Hadj Taieb, E.: Finite Element Analysis of a Fluid Structure Interaction in Flexible Pipeline. African Journal of Science and Technology (AJST) Science and Engineering Series 8, 63–70 (2007)
Wylie, E.B., Streeter, V.L., Suo, L.: Fluid transients in system. Prentice Hall, New Jersey (1993)
Stuckenbruck, S., Wiggert, D.C., Otwell, R.S.: The influence of pipe motion on acoustic wave propagation. Transactions of the ASME 107, 518–522 (1985)
Hadj-Taïeb, E., Lili: The numerical solution of the transient two-phase flow in rigid pipelines. International Journal for Numerical Methods in Fluids 29, 501–514 (1999)
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© 2013 Springer-Verlag Berlin Heidelberg
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Damak, O., Hadj-Taïeb, E. (2013). Waterhammer in Flexible Pipes. In: Haddar, M., Romdhane, L., Louati, J., Ben Amara, A. (eds) Design and Modeling of Mechanical Systems. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37143-1_45
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DOI: https://doi.org/10.1007/978-3-642-37143-1_45
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37142-4
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