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TECHNICAL PAPERS

Validation of Hyperbolic Model for Water-Hammer in Deformable Pipes

[+] Author and Article Information
E. Hadj-Taı̈eb

Department of Mechanical Engineering, ENIS, BP. W Sfax, Tunisia 3038

T. Lili

Physical Department of Sciences, Campus Universitaire Tunis, Tunisia

J. Fluids Eng 122(1), 57-64 (Aug 02, 1999) (8 pages) doi:10.1115/1.483227 History: Received April 02, 1998; Revised August 02, 1999
Copyright © 2000 by ASME
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References

Campbell,  I. J., and Pitcher,  A. S., 1958, “Shock Waves in Liquid Containing Gas Bubbles,” Proc. R. Soc. London, 243, pp. 534–545.
Padmanabhan,  M., and Martin,  C. S., 1983, “Shock-Wave Formation in Moving Bubbly by Steepening of Compression Waves,” Int. J. Multiphase Flow, 4, pp. 81–88.
Martin,  C. S., and Padmanabhan,  M., 1975, “The Effect of Free Gases on Pressure Transients,” L’Energia Elettrica, 5, pp. 262–267.
Martin, C. S., Padmanabhan, M., and Wiggert, D. C., 1976, “Pressure Wave Propagation in Two-Phase Bubbly Air-Water Mixtures,” Second International Conference on Pressure Surges, City University, London, England, paper C1, pp. 1–16.
Martin,  C. S., and Padmanabhan,  M., 1979, “Pressure Pulse Propagation in Two-Component-Slug Flow,” ASME J. Fluids Eng., 101, pp. 44–52.
Chaudry,  M. H., Bhallamudi,  S. M., Martin,  C. S., and Naghash,  M., 1990, “Analysis of Transient in Bubbly Homogeneous, Gas–Liquid Mixtures,” ASME J. Fluids Eng., 112, pp. 225–231.
Pascal,  H., 1983, “Compressibility Effect in Two-Phase Flow and its Application to Flow Metering with Orifice Plate and Convergent-Divergent Nozzle,” ASME J. Fluids Eng., 105, pp. 394–399.
Streeter, V. L., and Wylie, E. B., 1982, Hydraulic Transients, F.E.B. Press, Ann Arbor.
Stuckenbruck,  S., Wiggert,  D. C., and Otwell,  R. S., 1985, “The Influence of Pipe Motion on Acoustic Wave Propagation,” ASME J. Fluids Eng., 107, pp. 518–522.
Lerat,  A., and Peyret,  R., 1973, “Sur le Choix des Schémas aux Différences du Second Ordre Fournissant des Profils de Choc Sans Oscillations,” C. R. Acad, Sci Paris, 277, pp. 363–366.
Stoer, J., and Burlisch, R., 1983, Introduction to Numerical Analysis, Springer Verlag, Berlin.
Wiggert,  D. C., and Sundquist,  M. J., 1979, “The Effect of Gaseous Cavitation on Fluid Transients,” ASME J. Fluids Eng., 101, pp. 79–86.

Figures

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The characteristic lines in the x,t plane
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Finite differences scheme
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Schematic of experiment
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Experimental pressure variations 6
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Computed pressure curves: (– ) finite differences S01 scheme; (–) characteristics method; ([[dotted_line]]) Chaudry et al. experimental results 6
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The calculated wave paths
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Computed pressure curves by finite differences S01 scheme

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