Book, D. L., Boris, J. P. and Hain, K. (1975). “Flux-corrected transport II: Generalizations of the methodˮ. J. Computational Physics 18, pp. 248–283. https://doi.org/10.1016/0021-9991(75)90002-9
Brunone, B. and Berni, A. (2010). “Wall shear stress in transient turbulent pipe flow by local velocity measurementˮ. J. Hydraulic Eng. 136, pp. 716–726. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000234
Brunone, B., Karney, B. W., Mecarelli, M., and Ferrante, M. (2000). “Velocity profiles and unsteady pipe friction in transient flowˮ. J. Water Resources Planning and Management 126, pp. 236–244. https://doi.org/10.1061/(ASCE)0733-9496(2000)126:4(236)
Covas, D. and Ramos, H. (2010). “Case studies of leak detection and location in water pipe systems by inverse transient analysisˮ. J. Water Resources Planning and Management. 136, pp. 248–257. https://doi.org/10.1061/(ASCE)0733-9496(2010)136:2(248)
Covas, D., Stoianov, I., Mano, J. F., Ramos, H., Graham, N., Maksimovic, C., (2005). “The dynamic effect of pipe-wall viscoelasticity in hydraulic transients. Part II—model development, calibration and verificationˮ. J. Hydraulic Research 43, pp. 56–70. https://doi.org/10.1080/00221680509500111
Covas, D., Stoianov, I., Ramos, H., Graham, N. and Maksimovic, C. (2004a). “The dynamic effect of pipe-wall viscoelasticity in hydraulic transients. Part I—experimental analysis and creep characterizationˮ. J. Hydraulic Research 42, pp. 517–532. https://doi.org/10.1080/00221686.2004.9641221
Covas, D., Stoianov, I., Ramos, H., Graham, N., Maksimović, Č., and Butler, D. (2004b). “Water hammer in pressurized polyethylene pipes: conceptual model and experimental analysisˮ. Urban Water Journal 1, 177–197. https://doi.org/10.1080/15730620412331289977
Duan, H. -F., Ghidaoui, M., Lee, P. J. and Tung, Y. -K. (2010). “Unsteady friction and visco-elasticity in pipe fluid transientsˮ. J. Hydraulic Research 48, pp. 354–362. https://doi.org/10.1080/00221681003726247
Fan, S., Lakshminarayana, B. and Barnett, M. (1993). “Low-Reynolds-number k-epsilon model for unsteady turbulent boundary-layer flowsˮ. AIAA Journal. 31, pp. 1777–1784.
https://doi.org/10.2514/3.11849
Ghidaoui, M. S., Zhao, M., McInnis, D. A. and Axworthy, D. H. (2005). “A review of water hammer theory and practiceˮ. Applied Mechanics Reviews 58, pp. 49–76.
https://doi.org/10.1115/1.1828050
Guney, M. (1983). “Water hammer in viscoelastic pipes where cross-section parameters are time dependentˮ. Presented at the 4th International Conference on Pressure Surges, BHRA Fluid Engineering, 1983, England.
Keramat, A., Kolahi, A. G. and Ahmadi, A. (2013). “Water hammer modelling of viscoelastic pipes with a time-dependent Poisson’s ratioˮ. J. Fluids and Structures. 43, pp. 164–178.
https://doi.org/10.1016/j.jfluidstructs.2013.08.013
Keramat, A., Tijsseling, A. S., Hou, Q. and Ahmadi, A. (2012). “Fluid–structure interaction with pipe-wall viscoelasticity during water hammerˮ. J. Fluids and Structures. 28, pp. 434–455. https://doi.org/10.1016/j.jfluidstructs.2011.11.001
Mahdizadeh, H. (2018). “Numerical modelling of one- and two-dimensional water hammer problems using a modified wave propagation algorithm and turbulence modelˮ. J. Hydraulic Research. 0, pp. 1–12. https://doi.org/10.1080/00221686.2018.1459897
Mitra, A. K. and Rouleau, W. T. (1985). “Radial and axial variations in transient pressure waves transmitted through liquid transmission linesˮ. J. Fluids Engineering. 107, pp. 105–111. https://doi.org/10.1115/1.3242423
Pezzinga, G. (1999). “Quasi-2D model for unsteady flow in pipe networks ˮ. J. Hydraulic Eng. 125, pp. 676–685.
https://doi.org/10.1061/(ASCE)0733-9429 (1999) 125:7(676)
Pezzinga, G., Brunone, B., Cannizzaro, D., Ferrante, M., Meniconi, S. and Berni, A. (2014). “Two-dimensional features of viscoelastic models of pipe transientsˮ. J. Hydraulic Eng. 140, 04014036. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000891
Pezzinga, G., Brunone, B. and Meniconi, S. (2016). “Relevance of pipe period on kelvin-voigt viscoelastic parameters: 1D and 2D inverse transient analysisˮ. J. Hydraulic Eng. 142, 04016063. https://doi.org/10.1061/(ASCE)HY. 1943-7900.0001216
Riasi, A., Nourbakhsh, A. and Raisee, M. (2013). “Energy dissipation in unsteady turbulent pipe flows caused by water hammerˮ. Computers & Fluids. 73, pp. 124–133. https://doi.org/10.1016/ j.compfluid.2012.12.015
Riasi, A., Nourbakhsh, A. and Raisee, M. (2009a). “Unsteady velocity profiles in laminar and turbulent water hammer flowsˮ. J. Fluids Eng. 131, 121202-121202–8. https://doi.org/10.1115/1.4000557
Riasi, A., Nourbakhsh, P. A. and Raisee, M. (2009b). “Unsteady turbulent pipe flow due to water hammer using k–θ turbulence modelˮ. J. Hydraulic Research. 47, pp. 429–437.
https://doi.org/10.1080/00221686.2009.9522018
Saemi, S., Raisee, M., Cervantes, M. J. and Nourbakhsh, A. (2018). “Computation of two- and three-dimensional water hammer flowsˮ. J. Hydraulic Research. 0, pp. 1–19.
https://doi.org/10.1080/00221686.2018.1459892
Shamloo, H. and Mousavifard, M. (2015). “Numerical simulation of turbulent pipe flow for water hammerˮ. J. Fluids Eng. 137, 111203-111203–10. https://doi.org/10.1115/1.4030806
Silva-Araya, W. F. and Chaudhry, M. H. (1997). “Computation of energy dissipation in transient flowˮ. J. Hydraulic Eng 123, pp. 108–115.
https://doi.org/10.1061/(ASCE)0733-9429(1997)123:2(108)
Soares, A. K., Covas, D. I. and Reis, L. F. (2008). “Analysis of PVC pipe-wall viscoelasticity during water hammerˮ. J. Hydraulic Eng. 134, pp. 1389–1394. https://doi.org/10.1061/(ASCE)0733-9429 (2008)134:9(1389)
Vardy, A. E., Hwang, K. -L. (1991). “A characteristics model of transient friction in pipesˮ. J. Hydraulic Research. 29, pp. 669–684.
https://doi.org/10.1080/00221689109498983
Wahba, E. M. (2009). “Turbulence modeling for two-dimensional water hammer simulations in the low Reynolds number rangeˮ. Computers & Fluids. 38, pp. 1763–1770. https://doi.org/10.1016/j. compfluid.2009.03.007
Wilcox, D. C. (1994). Turbulence modeling for CFD. La Canada, CA: DCW Industries.
Workman, L. (1988). Characteristics of PVC pipe. Philips Industries, Inc.
Zhao, M. and Ghidaoui, M. S. (2006). “Investigation of turbulence behavior in pipe transient using a k–∊ modelˮ. J. Hydraulic Research 44, pp. 682–692. https://doi.org/10.1080/ 00221686.2006.9521717
Zhao, M. and Ghidaoui, M. S. (2003). “Efficient quasi-two-dimensional model for water hammer problemsˮ. J. Hydraulic Eng. 129, pp. 1007–1013. https://doi.org/10.1061/(ASCE)0733-9429(2003) 129:12(1007)
)
