Systematic Evaluation of One-Dimensional Unsteady Friction Models in Simple Pipelines
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VIEW THE REPLYPublication: Journal of Hydraulic Engineering
Volume 132, Issue 7
Abstract
In this paper, basic unsteady flow types and transient event types are categorized, and then unsteady friction models are tested for each type of transient event. One important feature of any unsteady friction model is its ability to correctly model frictional dissipation in unsteady flow conditions under a wide a range of possible transient event types. This is of importance to the simulation of transients in pipe networks or pipelines with various devices in which a complex series of unsteady flow types are common. Two common one-dimensional unsteady friction models are considered, namely, the constant coefficient instantaneous acceleration-based model and the convolution-based model. The modified instantaneous acceleration-based model, although an improvement, is shown to fail for certain transient event types. Additionally, numerical errors arising from the approximate implementation of the instantaneous acceleration-based model are determined, suggesting some previous good fits with experimental data are due to numerical error rather than the unsteady friction model. The convolution-based model is successful for all transient event types. Both approaches are tested against experimental data from a laboratory pipeline.
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Acknowledgments
The writers would like to acknowledge financial support from the Australian Research Council and a scholarship provided by the Australian Government for the first writer, the assistance of both are gratefully appreciated.
References
Abreu, J. M., and Almeida, A. B. (2004). “Wall shear stress and flow behavior under transient flow in a pipe.” Proc., 9th Int. Conf. on Pressure Surges, BHR Group, Chester, U.K., 457–476.
Adamkowski, A., and Lewandowski, M. (2004). “Experimental examination of unsteady friction models for transients pipe flow simulation.” Proc., 9th Int. Conf. on Pressure Surges, BHR Group, Chester, U.K., 421–437.
Anderson, A., Arfaie, M., Sandoval-Pena, R., and Suwan, K. (1991). “Pipe-friction in waterhammer computation.” Proc., 24th IAHR Congress, Vol. 2, Madrid, Spain, 23–30.
Axworthy, D. H., Ghidaoui, M. S., and Mclnnis, D. A. (2000). “Extended thermodynamics derivation of energy dissipation in unsteady pipe flow.” J. Hydraul. Eng., 126(4), 276–287.
Bergant, A., and Simpson, A. R. (1994). “Estimating unsteady friction in transient cavitating pipe flow.” Proc., 2nd Int. Conf. on Water Pipeline Systems, Edinburgh, Scotland, 3–16.
Bergant, A., and Simpson, A. R. (1995). “Water hammer and column separation measurements in an experimental apparatus.” Rep. No. R128, Dept. of Civil and Environmental Engineering, The Univ. of Adelaide, Adelaide, Australia.
Bergant, A., Simpson, A. R., and Vitkovský, J. P. (1999). “Review of unsteady friction models in transient pipe flow.” Proc., 9th Int. Meeting of the Work Group on the Behavior of Hydraulic Machinery under Steady Oscillatory Conditions, IAHR, Brno, Czech Republic.
Bergant, A., Simpson, A. R., and Vitkovský, J. P. (2001). “Developments in unsteady pipe flow friction modelling.” J. Hydraul. Res., 39(3), 249–257.
Bouazza, Z., and Brunelle, P. E. (2004). “A new friction model for transient pipe flows: Development of the frequency dependence approach of brunone.” Proc., 9th Int. Conf. on Pressure Surges, BHR Group, Chester, U.K., 391–404.
Brown, F. T., Margolis, D. L., and Shah, R. P. (1969). “Small-amplitude frequency behavior of fluid lines with turbulent flow.” J. Basic Eng., 91(4), 678–693.
Brunone, B., Cacciamani, M., Calabresi, F., and Ferrante, M. (2003). “An investigation on unsteady-state friction in laminar flow.” Pumps, electromechanical devices and systems applied to urban water management (CD-ROM), Valencia, Spain.
Brunone, B., Golia, U. M., and Greco, M. (1991). “Some remarks on the momentum equations for fast transients.” Hydraulic transients with column separation (9th and last round table of the IAHR Group), IAHR, Valencia, Spain, 201–209.
Bughazem, M. B., and Anderson, A. (1996). “Problems with simple models for damping in unsteady flow.” Proc., 7th Int. Conf. on Pressure Surges and Transients in Pipelines and Open Channels, BHR Group, Harrogate, U.K., 537–457.
Bughazem, M. B., and Anderson, A. (2000). “Investigation of an unsteady friction model for waterhammer and column separation.” Proc., 8th Int. Conf. on Pressure Surges, BHR Group, The Hague, The Netherlands, 483–498.
Carstens, M. R., and Roller, J. E. (1959). “Boundary-shear stress in unsteady trbulent pipe flow.” J. Hydraul. Div., Am. Soc. Civ. Eng., 95(HY2), 67–81.
Chaudhry, M. H., and Hussaini, M. Y. (1985). “Second-order accurate explicit finite-difference schemes for waterhammer analysis.” J. Fluids Eng., 107, 523–529.
Daily, J. W., Hankey, W. L., Olive, R. W., and Jordaan, J. M. (1956). “Resistance coefficients for accelerated and decelerated flows through smooth tubes and orifices.” Trans. ASME, 78, 1071–1077.
Ghidaoui, M. S., Axworthy, D. H., Zhao, M., and Mclnnis, D. A. (2001). “Closure to ‘Extended thermodynamics derivation of energy dissipation in unsteady pipe flow.’” J. Hydraul. Eng., 127(10), 888–890.
Ghidaoui, M. S., and Karney, B. W. (1994). “Equivalent differential equations in fixed-grid characteristics method.” J. Hydraul. Eng., 120(10), 1159–1175.
Ghidaoui, M. S., and Mansour, S. (2002). “Efficient treatment of Vardy-Brown unsteady shear in pipe transients.” J. Hydraul. Eng., 128(1), 102–112.
Goldberg, D. E., and Wylie, E. B. (1983). “Characteristics method using timeline interpolations.” J. Hydraul. Eng., 109(5), 670–683.
Golia, U. M. (1990). “Sulla valutazione delle forze resistenti nel colpo d’ariete.” Rep. No. 639, Dept. of Hydraulics, Univ. of Napoli, Italy.
Holloway, M. B., and Chaudhry, M. H. (1985). “Stability and accuracy of waterhammer analysis.” Adv. Water Resour., 8, 121–128.
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 characteristic method.” Trans. Jpn. Soc. Mech. Eng., Ser. A, 49(447), 2638–2644.
Liggett, J. A., and Chen, L.-C. (1994). “Inverse transient analysis in pipe networks.” J. Hydraul. Eng., 120(8), 934–955.
Loureiro, D., and Ramos, H. (2003). “A modified formulation for estimating the dissipative effect of 1D transient pipe flow.” Pumps, electromechanical devices and systems applied to urban water management (CD-ROM), Valencia, Spain.
Maudsley, D. (1984). “Errors in the stimulation of pressure transients in hydraulic system.” Trans. Inst. Meas. Control (London), 6(1), 7–12.
Pezzinga, G. (2000). “Evaluation of unsteady flow resistances by quasi-2D or 1D models.” J. Hydraul. Eng., 126(10), 778–785.
Sibetheros, I. A., Holley, E. R., and Branski, J. M. (1991). “Spline interpolations for water hammer analysis.” J. Hydraul. Eng., 117(10), 1332–1351.
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., 113, 569–573.
Trikha, A. K. (1975). “An efficient method for simulating frequency-dependent friction in transient liquid flow.” J. Fluids Eng., 97, 97–105.
Vardy, A. E. (1980). “Unsteady flows: Fact and friction.” Proc., 3rd Int. Conf. on Pressure Surges, BHRA, Canterbury, U.K., 15–26.
Vardy, A. E., and Brown, J. M. B. (1995). “Transient, turbulent, smooth pipe friction.” J. Hydraul. Res., 33(4), 435–456.
Vitkovský, J. P. (2001). “Inverse analysis and modeling of unsteady pipe flow: Theory applications and experimental verification.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of Adelaide, Adelaide, Australia.
Wiggert, D. C., and Sundquist, M. J. (1977). “Fixed-grid characteristics for pipeline transients.” J. Hydraul. Div., Am. Soc. Civ. Eng., 103(12), 1403–1416.
Wylie, E. B. (1983). “Advances in the use of MOC in unsteady pipeline flow.” Proc., 4th Int. Conf. on Pressure Surges, Vol. 70, BHRA, Bath, U.K., Part 2, 27–37.
Wylie, E. B. (1996). “Unsteady internal flows—Dimensionless numbers and time constants.” Proc., 7th Int. Conf. on Pressure Surges and Transients in Pipelines and Open Channels, BHR Group, Harrogate, U.K., 283–288.
Wylie, E. B. (1997). “Frictional effects in unsteady turbulent pipe flows.” Appl. Mech. Rev., 50(11), 241–244.
Zielke, W. (1968). “Frequency-dependent friction in transient pipe flow.” J. Basic Eng., 90(1), 109–115.
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© 2006 ASCE.
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Received: Apr 1, 2003
Accepted: May 31, 2005
Published online: Jul 1, 2006
Published in print: Jul 2006
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