Numerical Comparison of Pipe‐Column‐Separation Models
Publication: Journal of Hydraulic Engineering
Volume 120, Issue 3
Abstract
Results comparing six column‐separation numerical models for simulating localized vapor cavities and distributed vaporous cavitation in pipelines are presented. The discrete vapor‐cavity model (DVCM) is shown to be quite sensitive to selected input parameters. For short pipeline systems, the maximum pressure rise following column separation can vary markedly for small changes in wave speed, friction factor, diameter, initial velocity, length of pipe, or pipe slope. Of the six numerical models, three perform consistently over a broad number of reaches. One of them, the discrete gas‐cavity model, is recommended for general use as it is least sensitive to input parameters or to the selected discretization of the pipeline. Three models provide inconsistent estimates of the maximum pressure rise as the number of reaches is increased; however, these models do give consistent results provided the ratio of maximum cavity size to reach volume is kept below 10%.
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References
1.
Bergant, A., and Simpson, A. R. (1992). “Interface model for transient cavitating flow in pipelines.” Unsteady flow and fluid transients, R. Bettess and J. Watts, eds., A. A. Balkema, Rotterdam, The Netherlands, 333–342.
2.
Chaudhry, M. H. (1987). Applied hydraulic transients. 2nd Ed., Van Nostrand Reinhold, New York, N.Y.
3.
Chaudhry, M. H., and Holloway, M. B. (1984). “Stability of method of characteristics.” Proc. ASCE Hydr. Div. Specialty Conf., ASCE, 216–220.
4.
Collatz, L. (1960). The numerical treatment of differential equations. 3rd Ed., Springer Verlag, Berlin, West Germany.
5.
Goldberg, D. E., and Wylie, E. B. (1983). “Characteristics method using time‐line interpolations.” J. Hydr. Engrg., ASCE, 109(5), 670–683.
6.
Golia, U. M., Greco, M. (1990). “Cavitation during water‐hammer: Quick closure of a downstream valve.” Hydrosoft '90, Proc. 3rd Int. Conf. on Hydr. Engrg. Software, W. R. Blair and D. Quazar, eds., Lowell, Mass., 121–129.
7.
Holloway, M. B., and Chaudhry, M. H. (1985). “Stability and accuracy of water hammer analysis.” Advances in Water Resour., 8, 121–128.
8.
Kot, C. A., and Youngdahl, C. K. (1978). “Transient cavitating effects in fluid piping systems.” Nuclear Engrg. and Design, 45(1), 93–100.
9.
Kranenburg, C. (1974). “Gas release during transient cavitation in pipes.” J. Hydr. Div., ASCE, 100(10), 1383–1398.
10.
Maudsley, D. (1984). “Errors in the simulation of pressure transients in a hydraulic system.” Trans., Institute of Measurement and Control, 6(1), 7–12.
11.
Miwa, T., Sano, M., and Yamamoto, K. (1990). “Experimental studies on water hammer phenomenon including vapour column separation.” Water Supply, 8(3–4), 430–438.
12.
Provoost, G. A. (1976). “Investigations into cavitation in a prototype pipeline caused by water hammer.” Proc. 2nd Int. Conf. on Pressure Surges, British Hydromechanics Research Association, Cranfield, U.K., D2‐12–D2‐29.
13.
Provoost, G. A., and Wylie, E. B. (1981). “Discrete gas model to represent distributed free gas in liquids.” Proc. 5th Int. Symp. on Column Separation, International Association of Hydraulic Research, The Netherlands, 249–258.
14.
Safwat, H. H., and van der Polder, J. (1973). “Experimental and analytic data correlation study of water column separation.” J. Fluids Engrg., 94(1), 91–97.
15.
Safwat, H. H., Aratsu, A. H., and Husaini, S. M. (1986). “Generalized applications of the method of characteristics for the analysis of hydraulic transients involving empty sections.” Proc. 5th Int. Conf. on Pressure Surges, British Hydromechanics Research Association, Cranfield, U.K., 157–167.
16.
Simpson, A. R. (1986). “Large water hammer pressures due to column separation in a sloping pipe,” PhD thesis, University of Michigan, Ann Arbor, Mich.
17.
Simpson, A. R., and Wylie, E. B. (1991). “Large water hammer pressures for column separation in pipelines.” J. Hydr. Engrg., ASCE, 117(10), 1310–1316.
18.
Smith, G. D. (1978). Numerical solution of partial differential equations. 2nd Ed., Clarendon Press, Oxford, England.
19.
Streeter, V. L. (1969). “Water hammer analysis.” J. Hydr. Div., ASCE, 95(6), 1959–1972.
20.
Streeter, V. L. (1972). “Unsteady flow calculations by numerical methods.” J. Basic Engrg., 94(2), 457–466.
21.
Tanahashi, T., and Kasahara, E. (1969). “Analysis of water hammer with column separation.” Bull. Japan Soc. of Mech. Engrs., Japan, 12(50), 206–214.
22.
Tanahashi, T., and Kasahara, E. (1970). “Comparisons between experimental and theoretical results of the water hammer with water column separation.” Bull. Japan Soc. of Mech. Engrs., Japan, 13(61), 914–925.
23.
Wylie, E. B. (1983). “The microcomputer and pipeline transients.” J. Hydr. Engrg., ASCE, 109(12), 1723–1739.
24.
Wylie, E. B. (1984). “Simulation of vaporous and gaseous cavitation.” J. Fluids Engrg., 106(3), 307–311.
25.
Wylie, E. B., and Streeter, V. L. (1978a). Fluid transients. McGraw‐Hill, New York, N.Y.
26.
Wylie, E. B., and Streeter, V. L. (1978b). “Column separation in horizontal pipelines.” Proc. Joint Symp. on Design and Operation of Fluid Machinery, ASCE, New York, N.Y., 1, 3–13.
27.
Wylie, E. B., and Streeter, V. L. (1993). Fluid transients in systems. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 120 • Issue 3 • March 1994
Pages: 361 - 377
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jul 23, 1991
Published online: Mar 1, 1994
Published in print: Mar 1994
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