Applicability of Quasisteady and Axisymmetric Turbulence Models in Water Hammer
Publication: Journal of Hydraulic Engineering
Volume 128, Issue 10
Abstract
Two of the existing turbulence water hammer models, namely the two-layer and the five-layer eddy viscosity models, are implemented and analyzed and the accuracy of their quasi-steady and axisymmetric assumptions evaluated. In addition, a dimensionless parameter P (ratio of the time scale of radial diffusion of shear to the time scale of wave propagation) for assessing the accuracy of quasi-steady turbulence modeling in water hammer problems is developed and applied. It is found that the results of both models are in reasonable agreement, confirming that the turbulence modeling of water hammer flows is insensitive to the magnitude and distribution of the eddy viscosity within the pipe core. Comparison of model results with available data shows that the quasi-steady assumption becomes more accurate as the dimensionless parameter P increases. Furthermore, the analysis shows that the quasi-steady assumption is highly accurate as long as the simulation time is below the diffusion time scale and that this assumption causes an almost linear increase in the difference between model results and data with time. The accuracy of the flow axisymmetry assumption is evaluated by applying both models to a water hammer problem where flow asymmetry has been observed experimentally. It is found that the difference between models and data grows exponentially and reaches 100% after six wave periods.
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References
Brunone, B., Karney, B., Mecarelli, M., and Ferrante, M.(2000). “Velocity profiles and unsteady pipe friction in transient flow.” J. Water Resour. Plan. Manage., 126(4), 236–244.
Brunone, B., Karney, B., Mecarelli, M., and Ferrante, M.(2002). “Closure to ‘Velocity profiles and unsteady pipe friction in transient flow’.” J. Water Resour. Plan. Manage., 128(1), 86.
Das, D., and Arakeri, J. H.(1998). “Transition of unsteady velocity profiles with reverse flow.” J. Fluid Mech., 374, 251–283.
Eichenger, P., and Lein, G. (1992). “The influence of friction on unsteady pipe flow.” Unsteady flow and fluid transients, R. Bettes and J. Watts, eds., Balkema, Rotterdam, The Netherlands, 41–50.
Ghidaoui, M. S., and Kolyshkin, A. A.(2001). “Stability analysis of velocity profiles in water-hammer flows.” J. Hydraul. Eng., 127(6), 499–512.
Ghidaoui, M. S., and Mansour, S. G. S.(2002). “Efficient treatment of the Vardy-Brown unsteady shear in pipe transients.” J. Hydraul. Eng., 128(1), 102–112.
Greenblatt, D., and Moss, E. A.(1999). “Pipe-flow relaminarization by temporal acceleration.” Phys. Fluids, 11(11), 3478–3481.
He, S., and Jackson, J. D.(2000). “A study of turbulence under conditions of transient flow in a pipe.” J. Fluid Mech., 408, 1–38.
Kita, Y., Adachi, Y., and Hirose, K.(1980). “Periodically oscillating turbulent flow in a pipe.” Bull. JSME, 23(179), 654–664.
Lavooij, C. S. W., and Tijsseling, A. S. (1989). Fluid-structure interaction in pipe systems, Delft Hydraulics, Delft, The Netherlands.
Lodahl, C. R., Sumer, B. M., and Fredsoe, J.(1998). “Turbulent combined oscillatory flow and current in pipe.” J. Fluid Mech., 373, 313–348.
Pezzinga, G.(1999). “Quasi-2D model for unsteady flow in pipe networks.” J. Hydraul. Eng., 125(7), 676–685.
Pezzinga, G.(2000). “Evaluation of unsteady flow resistances by quasi-2D or 1D models.” J. Hydraul. Eng., 126(10), 778–785.
Pezzinga, G.(2002). “Discussion of ‘Velocity profiles and unsteady pipe friction in transient flow’.” J. Water Resour. Plan. Manage., 128(1), 85.
Pezzinga, G., and Scandura, P.(1995). “Unsteady flow in installations with polymeric additional pipe.” J. Hydraul. Eng., 121(11), 802–811.
Roberson, J. A., Cassidy, J. J., and Chaudhry, M. H. (1997). Hydraulic engineering, 2nd Ed., Wiley, New York.
Schlichting, H. (1979). Boundary-layer theory, 7th Ed., McGraw-Hill, New York.
Silva-Araya, W. F., and Chaudhry, M. H.(1997). “Computation of energy dissipation in transient flow.” J. Hydraul. Eng., 123(2), 108–115.
Streeter, V. L., and Wylie, E. B. (1981). Fluid mechanics, McGraw-Hill Ryerson Limited, Canada.
Vardy, A. E., and Brown, J. M. B.(1995). “Transient, turbulent, smooth pipe friction.” J. Hydraul. Res., 33(4), 435–456.
Vardy, A. E., and Hwang, K. L.(1991). “A characteristic model of transient friction in pipes.” J. Hydraul. Res., 29(5), 669–685.
Weinbaum, S., and Parker, K. H.(1975). “The laminar decay of suddenly blocked channel and pipe flows.” J. Fluid Mech., 69(4), 729–752.
Zeilke, W.(1968). “Frequency-dependent friction in transient pipe flow.” J. Basic Eng., 90(1), 109–115.
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Information
Published In
Journal of Hydraulic Engineering
Volume 128 • Issue 10 • October 2002
Pages: 917 - 924
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Nov 29, 2000
Accepted: Feb 26, 2002
Published online: Sep 13, 2002
Published in print: Oct 2002
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