Experimental and Numerical Investigations of Flow over and under Weir-Culverts with a Downstream Ramp
Publication: Journal of Irrigation and Drainage Engineering
Volume 147, Issue 7
Abstract
A series of experimental and numerical studies were conducted to investigate the hydrodynamics of weir-culverts with a downstream ramp in submerged-flow condition. A comparison of the numerical and experimental results with the selected turbulent model indicated that the numerical model is capable of simulating weir-culverts with a downstream ramp with 5% error. Water surface profiles of the proposed weir-culvert models were observed in transition from free to fully submerged flow, and four flow regimes of impinging jet regime (IJR), surface jet regime (SJR), surface wave regime (SWR), and deeply submerged regime (DSR) were identified. The proposed flow regimes were classified based on the ratio of surface flow to mean downstream velocities and the ratio of tail water to headwater depths. For proper design and erosion protection of irrigation canals, hydrodynamic characteristics of the identified flow regimes such as streamwise velocity, velocity path lines, and turbulent kinetic energy () were extracted from experimental and numerical results. The results showed that the position of maximum moved from the toe of the weir-culvert to the water surface as the tail water level increased. This indicated a significant reduction of energy dissipation rate due to turbulence, which necessitates proper bed protection far downstream of the structure. A comparison of weir-culverts with different weir lengths in a DSR showed higher surface jet energy dissipation and contraction coefficient of weir-culverts with larger length. The eye of the rollers and the boundaries between vortices were extracted from numerical simulations, and it was found that the stagnation points and surface jet thickness profiles moved toward the downstream side of the weir-culvert as the weir length increased.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request (water levels, velocities, and discharge coefficient data).
References
Abramovich, G. N. 1963. The theory of turbulent jet. Cambridge, MA: MIT Press.
Akoz, M. S., V. Gumus, and M. S. Kirkgoz. 2014. “Numerical simulation of flow over a semicylinder weir.” J. Irrig. Drain. Eng. 140 (6): 04014016. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000717.
Alhamid, A. A. 1999. “Analysis and formulation of flow through combined V-notch-gate device.” J. Hydraul. Res. 37 (5): 697–705. https://doi.org/10.1080/00221689909498524.
Altan-Sakarya, A. B., M. A. Kokpinar, and A. Duru. 2020. “Numerical modelling of contracted sharp-crested weirs and combined weir and gate systems.” Irrig. Drain. 69 (4): 854–864. https://doi.org/10.1002/ird.2468.
ANSYS. 2019. ANSYS fluent theory guide: Fluent academic v.19.0. Canonsburg, PA: ANSYS.
Azimi, A. H., and H. Bonakdari. 2020. “Experimental investigation of one-cycle triangular labyrinth weirs with an upstream pool.” J. Irrig. Drain. Eng. 146 (7): 06020005. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001484.
Azimi, A. H., and S. S. Hakim. 2019. “Hydraulics of flow over rectangular labyrinth weirs.” Irrigation Science 37 (2): 183–193. https://doi.org/10.1007/s00271-018-0616-6.
Azimi, A. H., Y. Qian, D. Z. Zhu, and N. Rajaratnam. 2015. “An experimental study of circular sand–water wall jets.” Int. J. Multiphase Flow 74: 34–44. https://doi.org/10.1016/j.ijmultiphaseflow.2015.04.003.
Azimi, A. H., and N. Rajaratnam. 2009. “Discharge characteristics of weirs of finite crest length.” J. Hydraul. Eng. 135 (12): 1081–1085. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000117.
Azimi, A. H., N. Rajaratnam, and D. Z. Zhu. 2013. “Discharge characteristics of weirs of finite crest length with upstream and downstream ramps.” J. Irrig. Drain. Eng. 139 (1): 75–83. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000519.
Azimi, A. H., N. Rajaratnam, and D. Z. Zhu. 2014. “Submerged flows over rectangular weirs of finite crest length.” J. Irrig. Drain. Eng. 140 (5): 06014001. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000728.
Azimi, A. H., N. Rajaratnam, and D. Z. Zhu. 2016. “Water surface characteristics of submerged rectangular sharp-crested weirs.” J. Hydraul. Eng. 142 (5): 06016001. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001110.
Bormann, N. E., and P. Y. Julien. 1991. “Scour downstream of grade-control structures.” J. Hydraul. Eng. 117 (5): 579–594. https://doi.org/10.1061/(ASCE)0733-9429(1991)117:5(579).
Chen, M., H. Huang, X. Zhang, S. Lv, and R. Li. 2019. “Experimental investigation on mean flow development of a three-dimensional wall jet confined by a Vertical Baffle.” Water 11 (2): 237. https://doi.org/10.3390/w11020237.
Dargahi, B. 2006. “Experimental study and 3D numerical simulations for a free-overflow spillway.” J. Hydraul. Eng. 132 (9): 899–907. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:9(899).
Dey, S., T. K. Nath, and S. K. Bose. 2010. “Submerged wall jets subjected to injection and suction from the wall.” J. Fluid Mech. 653: 57. https://doi.org/10.1017/S0022112010000182.
Dey, S., and A. Sarkar. 2006. “Response of velocity and turbulence in submerged wall jets to abrupt changes from smooth to rough beds and its application to scour downstream of an apron.” J. Fluid Mech. 556: 387. https://doi.org/10.1017/S0022112006009530.
Dizabadi, S., and A. H. Azimi. 2020. “Hydraulic and turbulence structure of triangular labyrinth weir-pool fishways.” River Res. Appl. 36 (2): 280–295. https://doi.org/10.1002/rra.3581.
Dizabadi, S., S. S. Hakim, and A. H. Azimi. 2020. “Discharge characteristics and structure of flow in labyrinth weirs with a downstream pool.” Flow Meas. Instrum. 71: 101683. https://doi.org/10.1016/j.flowmeasinst.2019.101683.
Ead, S. A., and N. Rajaratnam. 2001. “Plane turbulent surface jets in shallow tailwater.” J Fluids Eng 123 (1): 121–127. https://doi.org/10.1115/1.1331556.
Ead, S. A., and N. Rajaratnam. 2002. “Plane turbulent wall jets in shallow tailwater.” J. Eng. Mech. 128 (2): 143–155. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:2(143).
Eriksson, J. G., R. I. Karlsson, and J. Persson. 1998. “An experimental study of a two-dimensional plane turbulent wall jet.” Exp. Fluids 25 (1): 50–60. https://doi.org/10.1007/s003480050207.
Ferro, V. 2000. “Simultaneous flow over and under a gate.” J. Irrig. Drain. Eng. 126 (3): 190–193. https://doi.org/10.1061/(ASCE)0733-9437(2000)126:3(190).
Fritz, H. M., and W. H. Hager. 1998. “Hydraulics of embankment weirs.” J. Hydraul. Eng. 124 (9): 963–971. https://doi.org/10.1061/(ASCE)0733-9429(1998)124:9(963).
Guiny, E., D. A. Ervine, and J. D. Armstrong. 2005. “Hydraulic and biological aspects of fish passes for Atlantic salmon.” J. Hydraul. Eng. 131 (7): 542–553. https://doi.org/10.1061/(ASCE)0733-9429(2005)131:7(542).
Gumus, V., O. Simsek, N. G. Soydan, M. S. Akoz, and M. S. Kirkgoz. 2016. “Numerical modeling of submerged hydraulic jump from a sluice gate.” J. Irrig. Drain. Eng. 142 (1): 04015037. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000948.
Hakim, S. S., and A. H. Azimi. 2017. “Hydraulics of submerged triangular weirs and weirs of finite-crest length with upstream and downstream ramps.” J. Irrig. Drain. Eng. 143 (8): 06017008. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001207.
Hargreaves, D. M., H. P. Morvan, and N. G. Wright. 2007. “Validation of the volume of fluid method for free surface calculation: The broad-crested weir.” Eng. Appl. Comput. Fluid Mech. 1 (2): 136–146. https://doi.org/10.1080/19942060.2007.11015188.
Hayawi, H. A. M., A. A. G. Yahia, and G. A. M. Hayawi. 2008. “Free combined flow over a triangular weir and under rectangular gate.” Damascus Univ. J. 24 (1): 9–22.
Kirkgöz, M. S., and M. Ardiçlioğlu. 1997. “Velocity profiles of developing and developed open channel flow.” J. Hydraul. Eng. 123 (12): 1099–1105. https://doi.org/10.1061/(ASCE)0733-9429(1997)123:12(1099).
Liu, M., D. Zhu, and N. Rajaratnam. 2006. “Mean flow and turbulence structure in vertical slot fishways.” J. Hydraul. Eng. 132 (8): 765–777. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:8(765).
Marriner, B. A., A. B. Baki, D. Z. Zhu, S. J. Cooke, and C. Katopodis. 2016. “The hydraulics of a vertical slot fishway: A case study on the multi-species Vianney-Legendre fishway in Quebec, Canada.” Ecol. Eng. 90: 190–202. https://doi.org/10.1016/j.ecoleng.2016.01.032.
Masoudian, M., R. Fendreski, and M. Gharahgezlou. 2013. “The effects of laboratory canal size and cylindrical weir-gate diameter on discharge coefficient.” Tech. J. Eng. Appl. Sci. 3 (15): 1630–1634.
Negm, A. M., A. M. Al-Brahim, and A. A. Alhamid. 2002. “Combined of free flow over weirs and below gates.” J. Hydraul. Res. 40 (3): 359–365. https://doi.org/10.1080/00221680209499950.
Norouzi Banis, Y. 1992. “Simultaneous underflow and overflow past a vertical gate.” M.Sc. thesis, Dept. of Civil Engineering, Roorkee Univ.
Patankar, S. V. 1980. Numerical heat transfer and fluid flow. Boca Raton, FL: CRC Press.
Patankar, S. V., and D. B. Spalding. 1972. “A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows.” Int. J. Heat Mass Transfer 15 (10): 1787–1806. https://doi.org/10.1016/0017-9310(72)90054-3.
Rajaratnam, N. 1976. Turbulent jets, 304. Amsterdam, Netherlands: Elsevier.
Rajaratnam, N., and D. Muralidhar. 1969. “Flow below deeply submerged rectangular weirs.” J. Hydraul. Res. 7 (3): 355–374. https://doi.org/10.1080/00221686909500273.
Salaheldin, T. M., J. Imran, and M. H. Chaudhry. 2004. “Numerical modeling of three-dimensional flow field around circular piers.” J. Hydraul. Eng. 130 (2): 91–100. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:2(91).
Salehi, S., and A. H. Azimi. 2019. “Discharge characteristics of weir-orifice and weir-gate structures.” J. Irrig. Drain. Eng. 145 (11): 04019025. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001421.
Salehi, S., A. H. Azimi, and H. Bonakdari. 2020. “Hydraulics of sharp-crested weir culverts with downstream ramps in free-flow, partially, and fully submerged-flow conditions.” Irrig. Sci. 39 (5): 1–17.
Samani, J. M. V., and M. Mazaheri. 2009. “Combined flow over weir and under gate.” J. Hydraul. Eng. 135 (3): 212–218. https://doi.org/10.1061/(ASCE)0733-9429(2009)135:3(224).
Schlichting, H. 1955. Boundary-layer theory. New York: McGraw-Hill.
Severi, A., M. Masoudian, E. Kordi, and K. Roettcher. 2015. “Discharge coefficient of combined-free over-under flow on a cylindrical weir-gate.” ISH J. Hydraul. Eng. 21 (1): 42–52. https://doi.org/10.1080/09715010.2014.939503.
Uyumaz, A. 1998. “Scour downstream of vertical gate.” J. Hydraul. Eng. 114 (7): 811–816. https://doi.org/10.1061/(ASCE)0733-9429(1988)114:7(811).
Verhoff, A. 1963. The two-dimensional, turbulent wall jet with and without an external free stream. Princeton, NJ: Princeton Univ.
Wilcox, D. C. 1993. Turbulence modeling. La Canada, CA: DCW Industries.
Wu, S., and N. Rajaratnam. 1995. “Free jumps, submerged jumps and wall jets.” J. Hydraul. Res. 33 (2): 197–212. https://doi.org/10.1080/00221689509498670.
Wu, S., and N. Rajaratnam. 1996. “Submerged flow regimes of rectangular sharp-crested weirs.” J. Hydraul. Eng. 122 (7): 412–414. https://doi.org/10.1061/(ASCE)0733-9429(1996)122:7(412).
Wu, S., and N. Rajaratnam. 1998. “Impinging jet and surface flow regimes at drop.” J. Hydraul. Res. 36 (1): 69–74. https://doi.org/10.1080/00221689809498378.
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© 2021 American Society of Civil Engineers.
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Received: Sep 12, 2020
Accepted: Feb 22, 2021
Published online: May 14, 2021
Published in print: Jul 1, 2021
Discussion open until: Oct 14, 2021
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