Technical Papers
Dec 27, 2019

Energy-Based Evaluation of 1D Unsteady Friction Models for Classic Laminar Water Hammer with Comparison to CFD

Publication: Journal of Hydraulic Engineering
Volume 146, Issue 3

Abstract

Under the umbrella of one-dimensional (1D) transient flow analysis, unsteady friction models are popular tools to better represent the decay in pressure signal associated with high wall shear stresses. There are generally two families of unsteady friction models, namely those based on instantaneous acceleration (IAB) and those based on convolution (CB). This paper considers a classic laminar water hammer and compares two unsteady friction models with both experimental results and those obtained using a high-resolution computation fluid dynamics (CFD) model, with CFD having a more native representation of frictional losses. Because dissipation is fundamentally an energetic phenomenon, an integrated total energy (ITE) approach is used here as a lens to view and compare results. The capabilities and limitations of the ITE approach are discussed. More specifically, the ITE method is used not only to quantify dissipation but also to spatially resolve when, where, and how energy is dissipated in each model. Most notably, CFD and CB models are found to differ significantly for positive flows, with CFD results exhibiting little difference between positive and zero flows.

Get full access to this article

View all available purchase options and get full access to this article.

References

Bergant, A., A. R. Simpson, and J. Vìtkovský. 2001. “Developments in unsteady pipe flow friction modelling.” J. Hydraul. Res. 39 (3): 249–257. https://doi.org/10.1080/00221680109499828.
Brunone, B., and U. Golia. 2008. “Discussion of ‘Systematic evaluation of one-dimensional unsteady friction models in simple pipelines’ by J. P. Vitkovsky, A. Bergant, A. R. Simpson and M. F. Lambert.” J. Hydraul. Eng. 134 (2): 282–284. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:2(282).
Brunone, B., U. M. Golia, and M. Greco. 1991. “Some remarks on the momentum equation for fast transients.” In Proc., Int. Conf. on Hydr. Transients with Water Column Separation, 273–280. Valencia, Spain: International Association for Hydro-Environment Engineering and Research.
Brunone, B., and L. Morelli. 1999. “Automatic control valve induced transients in operative pipe system.” J. Hydraul. Eng. 125 (5): 534–542. https://doi.org/10.1061/(ASCE)0733-9429(1999)125:5(534).
Comolet, R. 1976. Mécanique Expérimentale des Fluides, Tome II: Dynamique des Fluides Réels. Paris: Masson.
Daily, J., W. Hankey Jr., R. Olive, and J. Jordaan Jr. 1956. “Resistance coefficients for accelerated and decelerated flows through smooth tubes and orifices.” Trans. ASME 78: 17.
Duan, H. F., S. Meniconi, P. J. Lee, B. Brunone, and M. S. Ghidaoui. 2017. “Local and integral energy-based evaluation for the unsteady friction relevance in transient pipe flows.” J. Hydraul. Eng. 143 (7): 04017015. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001304.
Ferziger, J., and M. Peric. 2002. Computational methods for fluid dynamics. 3rd ed. New York: Springer.
Ghidaoui, M. S., and S. Mansour. 2002. “Efficient treatment of the Vardy-Brown unsteady shear in pipe transients.” J. Hydraul. Eng. 128 (1): 102–112. https://doi.org/10.1061/(ASCE)0733-9429(2002)128:1(102).
Ghidaoui, M. S., M. Zhao, D. A. McInnis, and D. H. Axworthy. 2005. “A review of water hammer theory and practice.” Appl. Mech. Rev. 58 (1): 49–76. https://doi.org/10.1115/1.1828050.
Karney, B. W. 1990. “Energy relations in transient closed conduit flow.” J. Hydraul. Eng. 116 (10): 1180–1196. https://doi.org/10.1061/(ASCE)0733-9429(1990)116:10(1180).
Karney, B. W., and D. McInnis. 1992. “Efficient calculation of transient flow in simple pipe networks.” J. Hydraul. Eng. 118 (7): 1014–1030. https://doi.org/10.1061/(ASCE)0733-9429(1992)118:7(1014).
Mandair, S., B. Karney, R. Magnan, and J.-F. Morissette. 2018. “Comparing CFD and 1-D solvers for the classic laminar water-hammer event in a pipe-reservoir system, perspectives on energy transformations and wave reflection.” In Vol. 1 of Pressure surges, edited by A. S. Tijsseling, 471–486. Cranfield, UK: BHR Group.
Martins, N. M. C., B. Brunone, S. Meniconi, H. M. Ramos, and D. I. C. Covas. 2017. “Efficient computational fluid dynamics model for transient laminar flow modeling: Pressure wave propagation and velocity profile changes.” J. Fluids Eng. 140 (1): 011102. https://doi.org/10.1115/1.4037504.
Martins, N. M. C., N. J. G. Carriço, H. M. Ramos, and D. I. Covas. 2014. “Velocity-distribution in pressurized pipe flow using CFD: Accuracy and mesh analysis.” Comput. Fluids 105 (Dec): 218–230. https://doi.org/10.1016/j.compfluid.2014.09.031.
Martins, N. M. C., A. K. Soares, H. M. Ramos, and D. I. C. Covas. 2016. “CFD modeling of transient flow in pressurized pipes.” Comput. Fluids 126 (Mar): 129–140. https://doi.org/10.1016/j.compfluid.2015.12.002.
Pezzinga, G. 2000. “Evaluation of unsteady flow resistances by quasi-2D or 1D models.” J. Hydraul. Eng. 126 (10): 778–785. https://doi.org/10.1061/(ASCE)0733-9429(2000)126:10(778).
SAS IP. n.d. “CFX-solver modeling guide.” Accessed December 15, 2018. https://www.sharcnet.ca/Software/Ansys/17.0/en-us/help/cfx_mod/cfx_mod.html.
Suzuki, K., T. Taketomi, and S. Sato. 1991. “Improving Zielke’s method of simulating frequency-dependent friction in laminar liquid pipe flow.” J. Fluids Eng. 113 (4): 569–573. https://doi.org/10.1115/1.2926516.
Trikha, A. 1975. “An efficient method for simulation frequency-dependent friction in transient liquid flow.” J. Fluids Eng. 97 (1): 97–105. https://doi.org/10.1115/1.3447224.
Urbanowicz, K. 2017. “Analytical expressions for effective weighting functions used during simulations of water hammer.” J. Theor. Appl. Mech. 55 (3): 1029–1040. https://doi.org/10.15632/jtam-pl.55.3.1029.
Vardy, A. 2018. “Acceleration-dependent unsteady friction revisited.” In Vol. 1 of Proc., 13th Int. Conf. on Pressure Surges, edited by A. S. Tijsseling, 265–281. Cranfield, UK: BHR Group.
Vardy, A., and J. Brown. 2004. “Efficient approximation of unsteady friction weighting functions.” J. Hydraul. Eng. 130 (11): 1097–1107. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:11(1097).
Vítkovský, J. P., A. Bergant, A. R. Simpson, and M. F. Lambert. 2006. “Systematic evaluation of one-dimensional unsteady friction models in simple pipelines.” J. Hydraul. Eng. 132 (7): 696–708. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:7(696).
White, F. M. 2003. Fluid mechanics. New York: McGraw-Hill.
Wylie, B. E., and V. L. Streeter. 1978. Fluid transients. New York: McGraw-Hill.
Zielke, W. 1969. “Frequency-dependent friction in transient pipe flow.” J. Basic Eng. 91 (4): 671–677. https://doi.org/10.1115/1.3571208.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 146Issue 3March 2020

History

Received: Jan 30, 2019
Accepted: Aug 2, 2019
Published online: Dec 27, 2019
Published in print: Mar 1, 2020
Discussion open until: May 27, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Faculty of Engineering, Univ. of Toronto, 35 St. George St., Toronto, ON, Canada M5S 1A4 (corresponding author). ORCID: https://orcid.org/0000-0002-5209-9423. Email: [email protected]
Robert Magnan
Simulation des installations et équipements, Institut de recherche d’Hydro Québec, 1800 Blvd. Lionel-Boulet, Varennes, QC, Canada J3V 5J8.
Jean-François Morissette https://orcid.org/0000-0003-4025-2942
Simulation des installations et équipements, Institut de recherche d’Hydro Québec, 1800 Blvd. Lionel-Boulet, Varennes, QC, Canada J3V 5J8. ORCID: https://orcid.org/0000-0003-4025-2942
Professor, Faculty of Engineering, Univ. of Toronto, 40 St. George St., Toronto, ON, Canada M5S 2E4. ORCID: https://orcid.org/0000-0001-9154-8722

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share