The paper presents a comparative analysis of calculations performed basing on the selected unsteady friction models and their validation based on the results of own experimental tests. The computer code developed for predicting transient pipe flows includes the models of: Zielke, Trikha, Vardy and Brown, Zarzycki, and Brunone et al. Our own experiments have been conducted at a test rig designed and constructed at the Institute of Fluid-Flow Machinery of the Polish Academy of Sciences (IMP PAN) in Gdansk in order to test transient pipe flows in a wide range of Reynolds numbers. The results following from this analysis enable the quantitative and qualitative assessment of the models under consideration.
Issue Section:
Technical Papers
1.
Zielke
, W.
, 1968, “Frequency-Dependent Friction in Transient Pipe Flow
,” ASME J. Basic Eng.
0021-9223, 90
(1
), pp. 109
–1
.2.
Vardy
, A. E.
, and Brown
, J. M.
, 1996, “On Turbulent Unsteady, Smooth-Pipe Friction
,” Proc. of the 7th International. Conf. on Pressure Surges-BHR Group
, Harrogate
, United Kingdom.3.
Vardy
, A. E.
, and Brown
, J. M.
, 2003, “Transient Turbulent Friction in Smooth Pipe Flows
,” J. Sound Vib.
0022-460X, 259
(5
), pp. 1011
–1036
.4.
Zarzycki
, Z.
, 1994, “Hydraulic Resistance in Unsteady Liquid Flow in Closed Conduits
,” Research Reports of Tech. Univ. of Szczecin, No.516, Szczecin (in Polish).5.
Zarzycki
, Z.
, 2000, “On Weighing Function for Wall Shear Stress During Unsteady Turbulent Pipe Flow
,” Proc. of the 8th International Conf. on Pressure Surges-BHR Group
, The Hague, The Netherlands.6.
Daily
, W. L.
, Hankey
, W. L.
, Olive
, R. W.
, and Jordan
, J. M.
, 1956, “Resistance Coefficients for Accelerated and Decelerated Flows Through Smooth Tubes and Orifices
,” Trans. ASME
0097-6822, 78
, pp. 1071
–1077
.7.
Cartens
, M. R.
, and Roller
, J. E.
, 1959, “Boundary-Shear Stress in Unsteady Turbulent Pipe flow
,” J. Hydr. Div.
0044-796X, 85
(HY2
), pp. 67
–81
.8.
Brunone
, B.
, Golia
, U. M.
, and Greco
, M.
, 1991, “Some Remarks on the Momentum Equations for Fast Transients
,” International Meeting on Hydraulic Transients with Column Separation, 9th Round Table, IAHR, Valencia, Spain.9.
Wylie
, E. B.
, and Streeter
, V. L.
, 1993, Fluid Transients in Systems
, Prentince-Hall
, New Jersey.10.
Trikha
, A. K.
, 1975, “An Efficient Method for Simulating Frequency-Dependent Friction in Transient Liquid Flow
,” ASME J. Fluids Eng.
0098-2202, 97
(1
), pp. 97
–105
.11.
Bergant
, A.
, and Simpson
, A.
, 1994, “Estimating Unsteady Friction in Transient Cavitating Pipe Flow
,” Proc. of the 2nd International Conference on Water Pipeline Systems
, Edinburgh, Scotland.12.
Almeida
, A. B.
, and Koelle
, E.
, 1992, “Fluid Transients in Pipe Networks
,” CMP Southampton Boston and Elsevier Applied Science
, London, New York.13.
Bergant
, A.
, Simpson
, A.
, and Vitkovsky
, J.
, 2001, “Developments in Unsteady Pipe Flow Friction Modelling
,” J. Hydraul. Res.
0022-1686, 39
(3
), pp. 249
–257
.14.
Vitkovsky
, J.
, Lambert
, M.
, Simpson
, A.
, and Bergant
, A.
, 2000, “Advances in Unsteady Friction Modeling in Transient Pipe Flow
,” Proc. of the 8th International Conf. on Pressure Surges-BHR Group
, The Hague
, The Netherlands
.15.
Ohmi
, M.
, Kyonen
, S.
, Usui
, T.
, 1985, “Numerical Analysis of Transient Turbulent Flow in a Liquid Line
,” Bull. JSME
0021-3764, 28
(239
), pp. 709
–806
.16.
Adamkowski
, A.
, and Lewandowski
, M.
, 2004, “Unsteady Friction Modelling in Transient Pipe Flow Simulation
,” Transactions of the Institute of Fluid-Flow Machinery, No. 115, pp. 83
–97
.17.
Holmboe
, E. L.
, and Rouleau
, W. T.
, 1967, “The Effect of Viscous Shear on Transient In Liquid Lines
,” ASME J. Basic Eng.
0021-9223, 89
(1
), pp. 174
–180
.18.
Ghidaoui
, M. S.
, and Mansour
, S.
, 2002, “Efficient Treatment of the Vardy-Brown Unsteady Shear in Pipe Transients
,” J. Hydr. Div.
0044-796X, 128
(1
), pp. 102
–112
.19.
Suzuki
, K.
, Taketomi
, T.
, and Sato
, S.
, 1991, “Improving Zielke’s Method of Simulating Frequency-Dependent Friction in Laminar Liquid Pipe Flow
,” ASME J. Fluids Eng.
0098-2202, 113
, pp. 569
–573
.20.
Schohl
, G. A.
, 1993, “Improved Approximate Method for Simulating Frequency-Dependent Friction in Transient Laminar Flow
,” ASME J. Fluids Eng.
0098-2202, 115
, pp. 420
–424
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