References
- Bergant, A., Ross Simpson, A., & Vìtkovsk, J. (2001). Developments in unsteady pipe flow friction modelling. Journal of Hydraulic Research, 39(3), 249–257. https://doi.org/10.1080/00221680109499828
- Bergant, A., Tijsseling, A., Kim, Y., Karadžić, U., Zhou, L., Lambert, M., & Simpson, A. (2018). Unsteady pressure influenced by trapped air pocket in liquid-filled pipelines. Strojniški vestnik - Journal of Mechanical Engineering, 64(9), 501–512. https://doi.org/10.5545/sv-jme.2018.5238
- Brunone, B., Golia, U. M., & Greco, M. (1991). Some remarks on the momentum equation for fast transients. In Meeting on hydraulic transients with column separation, 9th round table, IAHR (pp. 140–148). Valencia, Spain.
- Brunone, B., Karney, B. W., Mecarelli, M., & Ferrante, M. (2000). Velocity profiles and unsteady pipe friction in transient flow. Journal of Water Resources Planning and Management, 126(4), 236–244. https://doi.org/10.1061/(ASCE)0733-9496(2000)126:4(236)
- Cabrera, E., Abreu, J., Pérez, R., & Vela, A. (1992). Influence of liquid length variation in hydraulic transients. Journal of Hydraulic Engineering, 118(12), 1639–1650. https://doi.org/10.1061/(ASCE)0733-9429(1992)118:12(1639)
- Duan, H. F., Che, T. C., Lee, P. J., & Ghidaoui, M. S. (2018). Influence of nonlinear turbulent friction on the system frequency response in transient pipe flow modelling and analysis. Journal of Hydraulic Research, 56(4), 451–463. https://doi.org/10.1080/00221686.2017.1399936
- Duan, H. F., Ghidaoui, M. S., Lee, P. J., & Tung, Y. K. (2010). Unsteady friction and visco-elasticity in pipe fluid transients. Journal of Hydraulic Research, 48(3), 354–362. https://doi.org/10.1080/00221681003726247
- Duan, H. F., Ghidaoui, M. S., Lee, P. J., & Tung, Y. K. (2012). Relevance of unsteady friction to pipe size and length in pipe fluid transients. Journal of Hydraulic Engineering, 138(2), 154–166. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000497
- Duan, H. F., Meniconi, S., Lee, P. J., Brunone, B., & Ghidaoui, M. S. (2017). Local and integral energy-based evaluation for the unsteady friction relevance in transient pipe flows. Journal of Hydraulic Engineering, 143(7), 04017015. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001304
- Ghidaoui, M. S., & Mansour, S. (2002). Efficient treatment of the Vardy–Brown unsteady shear in pipe transients. Journal of Hydraulic Engineering, 128(1), 102–112. https://doi.org/10.1061/(ASCE)0733-9429(2002)128:1(102)
- Hatcher, T. M., & Vasconcelos, J. G. (2017). Peak pressure surges and pressure damping following sudden air pocket compression. Journal of Hydraulic Engineering, 143(4), 04016094. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001251
- Kagawa, T., Lee, I., Kitagawa, A., & Takenaka, T. (1983). High speed and accurate computing method of frequency-dependent friction in laminar pipe flow for characteristic method. Transactions of the Japan Society of Mechanical Engineers Series B, 49(447), 2638–2644. https://doi.org/10.1299/kikaib.49.2638
- Keramat, A., Tijsseling, A. S., Hou, Q., & Ahmadi, A. (2012). Fluid–structure interaction with pipe-wall viscoelasticity during water hammer. Journal of Fluids and Structures, 28, 434–455. https://doi.org/10.1016/j.jfluidstructs.2011.11.001
- Lee, N. H., & Martin, C. S. (1999). Experimental and analytical investigation of entrapped air in a horizontal pipe. In Proc., 3rd ASME/JSME Joint Fluids Engineering Conf. (pp. 1–8). New York.
- Liu, D., Zhou, L., Karney, B., Zhang, Q., & Ou, C. (2011). Rigid-plug elastic-water model for transient pipe flow with entrapped air pocket. Journal of Hydraulic Research, 49(6), 799–803. https://doi.org/10.1080/00221686.2011.621740
- Martin, C. S. (1976). Entrapped air in pipelines. In Proceedings of the second international conference on pressure surges, British Hydromechanics Research Assoc. (pp. 15–27). London, England.
- Martins, N. M., Delgado, J. N., Ramos, H. M., & Covas, D. I. (2017). Maximum transient pressures in a rapidly filling pipeline with entrapped air using a CFD model. Journal of Hydraulic Research, 55(4), 506–519. https://doi.org/10.1080/00221686.2016.1275046
- Schohl, G. A. (1993). Improved approximation method for simulating frequency-dependent friction in transient laminar flow. Journal of Fluids Engineering, 115(3), 420–424. https://doi.org/10.1115/1.2910155
- Suzuki, K., Taketomi, T., & Sato, S. (1991). Improving Zielke's method of simulating frequency-dependent friction in laminar liquid pipe flow. Journal of Fluids Engineering, 113(4), 569–573. https://doi.org/10.1115/1.2926516
- Tijsseling, A. S. (1996). Fluid-structure interaction in liquid-filled pipe systems: a review. Journal of Fluids and Structures, 10(2), 109–146. https://doi.org/10.1006/jfls.1996.0009
- Tijsseling, A. S. (2019). An overview of fluid-structure interaction experiments in single-elbow pipe systems. Journal of Zhejiang University-SCIENCE A, 20(4), 233–242. https://doi.org/10.1631/jzus.A1800564
- Tijsseling, A. S., Hou, Q., & Bozkuş, Z. (2019). Rapid liquid-filling of a pipe with venting entrapped-gas: Analytical and numerical solutions. Journal of Pressure Vessel Technology, 141(4), 041301. https://doi.org/10.1115/1.4043321
- Tijsseling, A. S., Hou, Q., Bozkuş, Z., & Laanearu, J. (2016). Improved one-dimensional models for rapid emptying and filling of pipelines. Journal of Pressure Vessel Technology, 138(3), 031301. https://doi.org/10.1115/1.4031508
- Tijsseling, A. S., & Vardy, A. E. (2005). Fluid–structure interaction and transient cavitation tests in a T-piece pipe. Journal of Fluids and Structures, 20(6), 753–762. https://doi.org/10.1016/j.jfluidstructs.2005.01.003
- Trikha, A. K. (1975). An efficient method for simulating frequencydependent friction in transient liquid flow. Journal of Fluids Engineering, 97(1), 97–105. https://doi.org/10.1115/1.3447224
- Urbanowicz, K., & Zarzycki, Z. (2012). New efficient approximation of weighting functions for simulations of unsteady friction losses in liquid pipe flow. Journal of Theoretical and Applied Mechanics, 50(2), 487–508.
- Vardy, A. E., & Brown, J. M. B. (1995). Transient, turbulent, smooth pipe friction. Journal of Hydraulic Research, 33(4), 435–456. https://doi.org/10.1080/00221689509498654
- Vardy, A. E., & Brown, J. M. B. (1996). On turbulent, unsteady, smooth-pipe flow. In Proc, Int. Conf. on pressure surges and fluid transients, BHR Group (pp. 289–311). Harrogate, England.
- Vardy, A. E., & Brown, J. M. B. (2003). Transient turbulent friction in smooth pipe flows. Journal of Sound and Vibration, 259(5), 1011–1036. https://doi.org/10.1006/jsvi.2002.5160
- Vardy, A. E., & Brown, J. M. B. (2004a). Efficient approximation of unsteady friction weighting functions. Journal of Hydraulic Engineering, 130(11), 1097–1107. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:11(1097)
- Vardy, A. E., & Brown, J. M. B. (2004b). Transient turbulent friction in fully rough pipe flows. Journal of Sound and Vibration, 270(1–2), 233–257. https://doi.org/10.1016/S0022-460X(03)00492-9
- Vardy, A. E., & Brown, J. M. B. (2007). Approximation of turbulent wall shear stresses in highly transient pipe flows. Journal of Hydraulic Engineering, 133(11), 1219–1228. https://doi.org/10.1061/(ASCE)0733-9429(2007)133:11(1219)
- Vardy, A. E., Hwang, K. L., & Brown, J. M. B. (1993). A weighting function model of transient turbulent pipe friction. Journal of Hydraulic Research, 31(4), 533–548. https://doi.org/10.1080/00221689309498876
- Vítkovský, J. P., Bergant, A., Simpson, A. R., & Lambert, M. F. (2006). Systematic evaluation of one-dimensional unsteady friction models in simple pipelines. Journal of Hydraulic Engineering, 132(7), 696–708. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:7(696)
- Vítkovský, J. P., Lambert, M. F., Simpson, A. R., & Bergant, A. (2000). Advances in unsteady friction modelling in transient pipe flow. In Proc. 8th Int. Conf. Pressure Surges, BHR Group (pp. 471–498). Suffolk.
- Vitkovsky, J. P., Stephens, M., Bergant, A., Martin, L., & Simpson, A. (2004). Efficient and accurate calculation of Zielke and Vardy-Brown unsteady friction in pipe transients. In Proc., 9th Int. Conf. on Pressure Surges, BHR Group (pp. 405–419). Cranfield, UK.
- Wright, S. J., Lewis, J. W., & Vasconcelos, J. G. (2011). Geysering in rapidly filling storm-water tunnels. Journal of Hydraulic Engineering, 137(1), 112–115. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000245
- Wylie, E. B., Streeter, V. L., & Suo, L. (1993). Fluid transients in systems. Prentice Hall.
- Zhou, F., Hicks, F. E., & Steffler, P. M. (2002). Transient flow in a rapidly filling horizontal pipe containing trapped air. Journal of Hydraulic Engineering, 128(6), 625–634. https://doi.org/10.1061/(ASCE)0733-9429(2002)128:6(625)
- Zhou, F., Hicks, F., & Steffler, P. (2004). Analysis of effects of air pocket on hydraulic failure of urban drainage infrastructure. Canadian Journal of Civil Engineering, 31(1), 86–94. https://doi.org/10.1139/l03-077
- Zhou, L., Elong, A., & Karney, B. (2019a, September 1–6). Unsteady friction in a rapid filling pipeline with trapped air. In E-proceedings of the 38th IAHR World Congress, IAHR (pp. 1–6). Panama City, Panama.
- Zhou, L., Liu, D., & Karney, B. (2013a). Investigation of hydraulic transients of two entrapped air pockets in a water pipeline. Journal of Hydraulic Engineering, 139(9), 949–959. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000750
- Zhou, L., Liu, D., Karney, B., & Wang, P. (2013b). Phenomenon of white mist in pipelines rapidly filling with water with entrapped air pockets. Journal of Hydraulic Engineering, 139(10), 1041–1051. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000765
- Zhou, L., Liu, D., Karney, B., & Zhang, Q. (2011a). Influence of entrapped air pockets on hydraulic transients in water pipelines. Journal of Hydraulic Engineering, 137(12), 1686–1692. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000460
- Zhou, L., Liu, D., & Ou, C. (2011b). Simulation of flow transients in a water filling pipe containing entrapped air pocket with VOF model. Engineering Applications of Computational Fluid Mechanics, 5(1), 127–140. https://doi.org/10.1080/19942060.2011.11015357
- Zhou, L., Pan, T., Wang, H., Liu, D., & Wang, P. (2019b). Rapid air expulsion through an orifice in a vertical water pipe. Journal of Hydraulic Research, 57(3), 307–317. https://doi.org/10.1080/00221686.2018.1475427
- Zhou, L., Wang, H., Karney, B., Liu, D., Wang, P., & Guo, S. (2018). Dynamic behavior of entrapped air pocket in a water filling pipeline. Journal of Hydraulic Engineering, 144(8), 04018045. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001491
- Zhu, Y., Duan, H., Li, F., Wu, C., Yuan, Y., & Shi, Z. (2018). Experimental and numerical study on transient air–water mixing flows in viscoelastic pipes. Journal of Hydraulic Research, 56(6), 877–887. https://doi.org/10.1080/00221686.2018.1424045
- Zielke, W. (1968). Frequency dependent friction in transient pipe flow. Journal of Basic Engineering, 90(1), 109–115. https://doi.org/10.1115/1.3605049