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TECHNICAL PAPERS

Models for Analysis of Water Hammer in Piping With Entrapped Air

[+] Author and Article Information
M. A. Chaiko, K. W. Brinckman

PPL Corporation, Nuclear Technology Group, Allentown, PA 18101

J. Fluids Eng 124(1), 194-204 (Oct 30, 2001) (11 pages) doi:10.1115/1.1430668 History: Received January 23, 2001; Revised October 30, 2001
Copyright © 2002 by ASME
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References

Martin, C. S., and Wiggert, D. C., 1989, “Hydraulic Transients in Cooling-Water Systems,” EPRI GS-6427, Electric Power Research Institute, June.
Martin, C. S., 1976, “Entrapped Air in Pipelines,” Second BHRA International conference on pressure surges, The City University, London, Sept. 22–24, Paper F2.
Wylie, E. B., and Streeter, V. L., 1978, Fluid Transients, McGraw-Hill, New York.
Moody, F. J., 1990, Introduction to Unsteady Thermofluid Mechanics, Wiley, New York.
Qiu D. Q., and Burrows R., 1996, “Prediction of Pressure Transients with Entrapped Air in a Pipeline,” Seventh International Conference on Pressure Surges, BHR Group, Harrogate, England, Apr., Paper 251–263.
Lee N. H., and Martin, C. S., 1999, “Experimental and Analytical Investigation of Entrapped Air in a Horizontal Pipe,” Proceedings of the 3rd ASME/JSME Joint Fluids Engineering Conference, July 18–23, San Francisco, CA.
Brinckman,  K. W., and Chaiko,  M. A., 2001, “Assessment of TRAC-BF1 for Waterhammer Calculations with Entrapped Air,” J. Nucl. Sci. Technol., 133, No. 1, Jan., pp. 133–139.
Guarga, R., Acosta, A., and Lorenzo, E., 1996, “Dynamic Compression of Entrapped Air Pockets by Elastic Water Columns,” Hydraulic Machinery and Cavitation, pp. 710–719, E. Cabrera et al. eds., Kluwer Academic Publishers, The Netherlands.
Cabrera,  E., Abreu,  J., Pérez,  R., and Vela,  A., 1992, “Influence of Liquid Length Variation in Hydraulic Transients,” J. Hydraul. Eng., 118, No. 12, Dec., pp. 1639–1650.
Hashimot,  K., Imaed,  M., and Osayam,  A., 1988, “Transients of Fluid Lines Containing an Air Pocket or Liquid Column,” Journal of Fluid Control, 18, No. 4, June, pp. 38–54.
Borkowski, J. A., and Wade, N. L., ed., 1992, TRAC-BF1/MOD1 Models and Correlations, NUREG/CR-4391.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1992, Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd Edition, pp. 508–515, Cambridge University Press.

Figures

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Schematic of gas-liquid system
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Computational grid for method of characteristics solution of model I equations
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Comparison of peak gas pressure predicted with models I, II, and III against experimental data of Lee and Martin 5. Initial gas pressure is 0.101 MPa (14.7 psia) and liquid pressure at pipe inlet is 0.608 MPa (88.2 psia)
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Temporal response of dimensionless gas pressure for λ=0.1,δ=5, and P0=6.89 MPa (1000 psia)
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Peak gas pressure predicted with models I, II, and III as a function of λ and initial air pressure with δ=5
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Temporal response of dimensionless gas pressure for λ=0.98,δ=5, and P0=6.89 Mpa (1000 psia)

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