Transient Friction in Pressurized Pipes. III: Investigation of the EIT Model Based on Position-Dependent Coefficient Approach in MIAB Model
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VIEW THE ORIGINAL ARTICLEPublication: Journal of Hydraulic Engineering
Volume 137, Issue 9
Abstract
Recently, the modified instantaneous acceleration-based (MIAB) model has been improved by the authors by using position-dependent coefficients found from investigation of the convolution-based (CB) model. Although this improvement is not proven general by any means, the fit with experimental results is very good. The three existing classes of one-dimensional models for the water-hammer transient that are applicable from an engineering point of view are the two models mentioned previously and the extended irreversible thermodynamics (EIT) model, which uses a coefficient found from thermodynamical considerations. This paper seeks the equivalent coefficients for the EIT model corresponding to the position-dependent coefficient the MIAB model to investigate the implications to the EIT model by using these coefficients. This is interesting because the EIT model is based on physical considerations using irreversible thermodynamics, and conclusions can possibly be drawn from this approach. The EIT coefficients found based on the position-dependent coefficients are used in simulations, and the results show an improvement compared to classical constant-coefficient EIT simulations. Based on this and discussion of water-hammer transient phenomena, it is suggested that limitations in the original EIT model regarding the coefficients might not be just and may be a possible limitation to the EIT model’s performance.
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Acknowledgments
The authors would like to thank Dr. Anton Bergant for providing access to and permission to use the experimental data from the test performed at University of Adelaide.
References
Abreu, J., and de Almeida, A. B. (2009). “Timescale behavior of the wall shear stress in unsteady laminar pipe flows.” J. Hydraul. Eng., 135(5), 415–424.
Axworthy, D. H., Ghidaoui, M. S., and McInnis, 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. (1995). “Water hammer and column separation measurements in an experimental apparatus.” Dept. of Civil and Environmental Engineering, Univ. of Adelaide, Australia.
Bergant, A., Simpson, A. R., and Vitkovsky, J. P. (2001). “Developments in unsteady pipe flow friction modeling.” J. Hydraul. Res., 39, 249–257.
Brunone, B., Golia, U. M., and Greco, M. (1995). “Effects of two-dimensionality on pipe transients modeling.” J. Hydraul. Eng., 121(12), 906–912.
Ghidaoui, M. S., Axworthy, D. H., Zhao, M., and McInnis, D. A. (2001). “Closure to ‘Extended thermodynamics derivation of energy dissipation in unsteady pipe flow’ by Mohamed S. Ghidaoui, David H. Axworthy, Ming Zhao, and Duncan A. McInnis.” J. Hydraul. Eng., 127(10), 888–890.
Ghidaoui, M. S., Zhao, M., McInnis, D. A., and Axworthy, D. H. (2005). “A review of water hammer theory and practice.” Appl. Mech. Rev., 58(1–6), 49–75.
Pezzinga, G. G. (2000). “Evaluation of unsteady flow resistances by quasi-2D or 1D models.” J. Hydraul. Eng., 126(10), 778–785.
Schohl, G. A. (1993). “Improved approximate method for simulating frequency-dependent friction in transient laminar flow.” J. Fluids Eng., 115(3), 420–424.
Shuy, E. E. B. (1996). “Wall shear stress in accelerating and decelerating turbulent pipe flows.” J. Hydraul. Res., 34, 173–183.
Silva-Araya, W. F., and Chaudhry, M. H. (1997). “Computation of energy dissipation in transient flow.” J. Hydraul. Eng., 123(2), 108–115.
Storli, P.-T., and Nielsen, T. K. (2011a). “Transient friction in pressurized pipes. I: Investigation of Zielke’s model.” J. Hydraul. Eng., 137(5), 577–584.
Storli, P.-T., and Nielsen, T. K. (2011b). “Transient friction in pressurized pipes. II: Two-coefficient instantaneous acceleration–based model.” J. Hydraul. Eng., 137(6), 679–695.
Vardy, A. E., and Brown, J. M. B. (1997). “Discussion to wall shear stress in accelerating and decelerating pipe flow by Shuy.” J. Hydraul. Res., 35, 137–139.
Vardy, A. E., and Brown, J. M. B. (2003). “Transient turbulent friction in smooth pipe flows.” J. Sound Vib., 259, 1011–1036.
Vardy, A. E., and Brown, J. M. B. (2004). “Transient turbulent friction in fully rough pipe flows.” J. Sound Vib., 270, 233–257.
Vitkovsky, J. P., Bergant, A., Simpson, A. R., and Lambert, M. F. (2006). “Systematic evaluation of one-dimensional unsteady friction models in simple pipelines.” J. Hydraul. Eng., 132(7), 696–708.
Vitkovsky, J. P., Stephens, M., Bergant, A., Lambert, M., and Simpson, A. (2004). “Efficient and accurate calculations of Zielke and Vardy-Brown unsteady friction in pipe transients.” 9th Int. Conf. on Pressure Surges, BHR Group, UK, 405–419.
Zielke, 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 137 • Issue 9 • September 2011
Pages: 1047 - 1053
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Jan 22, 2010
Accepted: Feb 4, 2011
Published online: Feb 8, 2011
Published in print: Sep 1, 2011
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