Numerical Error in Weighting Function-Based Unsteady Friction Models for Pipe Transients

Journal of Hydraulic Engineering

Volumn 132, Issue 7, 2006, Pages 709-721

  Vítkovský, John ^a   Stephens, Mark ^b   Bergant, Anton ^c   Simpson, Angus ^b   Lambert, Martin ^b  

^a Water Assessment Group ^*  (Australia)

^b UNIVERSITY OF ADELAIDE   (Australia)

^c Litostroj Power Doo   (Slovenia)

Author keywords

Errors; Frictions; Numerical analysis; Pipes; Transients; Unsteady flow

Indexed keywords

APPROXIMATION ALGORITHMS; FRICTION; INVERSE PROBLEMS; TRANSIENT ANALYSIS; WATER DISTRIBUTION SYSTEMS; WATER PIPELINES; ALGORITHMS; CALIBRATION; ERROR ANALYSIS; FOURIER TRANSFORMS; MATHEMATICAL MODELS; UNSTEADY FLOW;

CONDITION ASSESSMENTS; INVERSE TRANSIENT ANALYSIS; NUMERICAL ERRORS; PIPE NETWORKS; PIPELINE NETWORKS; PRESSURE TRANSIENT; UNSTEADY FRICTION; UNSTEADY-FRICTION MODELS; WATER ENGINEERING; WEIGHTING FUNCTIONS;

ERRORS; PIPING SYSTEMS;

PRESSURE TRANSIENTS; UNSTEADY FRICTION; WEIGHTING FUNCTION-BASED MODELS;

ALGORITHMS; CALIBRATION; ERROR ANALYSIS; FOURIER TRANSFORMS; FRICTION; MATHEMATICAL MODELS; PIPING SYSTEMS; UNSTEADY FLOW; WATER PIPELINES;

ALGORITHM; ERROR ANALYSIS; FRICTION; NUMERICAL MODEL; UNSTEADY FLOW;

EID: 33745268216     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2006)132:7(709)     Document Type: Article

References (18)

1. Gally, M., Güney, M., and, Rieuford, E. (1979). An investigation of pressure transients in viscoelastic pipes. J. Fluids Eng. JFEGA4 0098-2202, 101, 495-499.
2. Ghidaoui, M. S., and, Mansour, S. (2002). Efficient treatment of Vardy-Brown unsteady shear in pipe transients. J. Hydraul. Eng. JHEND8 0733-9429, 128 (1), 102-112. 10.1061/(ASCE)0733-9429(2002)128:1(102)
3. Kagawa, T., Lee, I., Kitagawa, A., and, Takenaka, T. (1983). High speed and accurate computing method of frequency-dependent friction in laminar pipe flow for characteristics method. Trans. Jpn. Soc. Mech. Eng., Ser. A NKGADA 0387-5008, 49 (447), 2638-2644 (in Japanese).
4. Pezzinga, G. (1999). Quasi-2D model for unsteady flow in pipe networks. J. Hydraul. Eng. JHEND8 0733-9429, 125 (7), 676-685. 10.1061/(ASCE)0733-9429(1999)125:7(676)
5. Schohl, G. A. (1993). Improved approximate method for simulation frequency-dependent friction in transient laminar flow. J. Fluids Eng. JFEGA4 0098-2202, 115 (3), 420-424.
6. Suzuki, K., Taketomi, T., and, Sato, S. (1991). Improving Zielke's method of simulating frequency-dependent friction in laminar liquid pipe flow. J. Fluids Eng. JFEGA4 0098-2202, 113,(4) 569-573.
7. Trikha, A. K. (1975). An efficient method for simulating frequency-dependent friction in transient liquid flow. J. Fluids Eng. JFEGA4 0098-2202, 97 (1), 97-105.
8. Vardy, A. E., and, Brown, J. M. (1995). Transient, turbulent, smooth pipe friction. J. Hydraul. Res. JHYRAF 0022-1686, 33 (4), 435-456.
9. Vardy, A. E., and, Brown, J. M. (1996). On turbulent, unsteady, smooth pipe friction. Proc., 7th Int. Conf. on Pressure Surges and Fluid Transients in Pipelines and Open Channels, BHR Group, Harrogate, U.K., 289-311.
10. Vardy, A. E., and, Brown, J. M. B. (2003). Transient turbulent friction in smooth pipe flows. J. Sound Vib. JSVIAG 0022-460X, 259 (5), 1011-1036. 10.1006/jsvi.2002.5160
11. Vardy, A. E., and, Brown, J. M. B. (2004a). Efficient approximation of unsteady friction weighting functions. J. Hydraul. Eng. JHEND8 0733-9429, 130 (11), 1097-1107. 10.1061/(ASCE)0733-9429(2004)130:11(1097)
12. Vardy, A. E., and, Brown, J. M. B. (2004b). Transient turbulent friction in fully-rough pipe flows. J. Sound Vib. JSVIAG 0022-460X, 270 (1-2), 233-257.
13. Vardy, A. E., and, Hwang, K.-L. (1991). A characteristics model of transient friction in pipes. J. Hydraul. Res. JHYRAF 0022-1686, 29 (5), 669-684.
14. Vítkovský, J. P., Stephens, M. L., Bergant, A., Lambert, M. F., and, Simpson, A. R. (2004). Efficient and accurate calculation of Zielke and Vardy-Brown unsteady friction in pipe transients. Proc., 9th Int. Conf. on Pressure Surges, Vol. 2, BHR Group, Chester, U.K., 405-419.
15. Wylie, E. B., and, Streeter, V. L. (1993). Fluid transients in systems, Prentice-Hall, Englewood Cliffs, N.J.
16. Zarzycki, Z. (1997). Hydraulic resistance of unsteady turbulent liquid flow in pipes. Water pipeline systems, BHR Group, The Hague, The Netherlands, 163-178.
17. Zarzycki, Z. (2000). On weighting function for wall shear stress during unsteady turbulent pipe flow. Proc., 8th Int. Conf. on Pressure Surges, BHR Group, The Hague, The Netherlands.
18. Zielke, W. (1968). Frequency-dependent friction in transient pipe flow. J. Basic Eng. JBAEAI 0021-9223, 90 (1), 109-115.