Underflow Curvature and Resultant Force on a Vertical Sluice Gate
Publication: Journal of Hydraulic Engineering
Volume 146, Issue 4
Abstract
Sluice gates are an important component of many hydraulic engineering systems; they have been extensively used to regulate reservoir water levels and to measure discharges. This paper reported new experimental and computational results of underflow passing below a vertical sluice gate. The focus was on the flow curvature immediately downstream of the gate and the associated centripetal force on the gate lip. The experiments and computations covered gate openings of 2.54–40.64 cm, and ratios of upstream flow depth to gate opening of 4–16. The computations successfully produced the two-phase (air–water) flow field from solving the Reynolds-averaged Navier–Stokes equations. The computed flow profiles and the distribution of pressures compared well with the experimental results. We recommend the shear stress transport model for turbulence closure and the volume of fluid (VoF) method for efficiently tracking the highly curved free surface. Analyses of the experimental and computational results led to the development of useful expressions for key flow-curvature parameters, including the radius and center of the circle of curvature, and the angle of a tangent to the free surface with the channel bottom. The curvature is maximum immediately downstream of the lip and decays farther downstream. Curvature-induced forces on sluice gates at hydroelectric power generating stations were determined. In addition, this paper proposed corrections to some existing formulations of the underflow problem and updated the contraction distance and coefficient.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This study received financial support from the National Sciences and Engineering Research Council of Canada through Discovery Grants held by S. S. Li. The comments from three unanimous reviewers were useful for improving the manuscript.
References
Bae, Y. H., K. O. Kim, and B. H. Choi. 2010. “Lake Sihwa tidal power plant project.” Ocean Eng. 37 (5): 454–463. https://doi.org/10.1016/j.oceaneng.2010.01.015.
Baek, K. O., Y. H. Ku, and Y. D. Kim. 2015. “Attraction efficiency in natural-like fishways according to weir operation and bed change in Nakdong River, Korea.” Ecol. Eng. 84 (Nov): 569–578. https://doi.org/10.1016/j.ecoleng.2015.09.055.
BC Hydro. 2004. “Clayton Falls project water use plan.” Accessed July 19, 2018. https://www.bchydro.com/content/dam/hydro/medialib/internet/documents/environment/pdf/wup_clayton_falls_water_use_plan_pdf.pdf.
BC Hydro. 2006. “Falls River water use plan.” Accessed July 19, 2018. https://www.bchydro.com/about/sustainability/conservation/water_use_planning/northern_interior/falls_river.html.
BC Hydro. 2012. “Campbell River system water use plan.” Accessed July 19, 2018. https://www.bchydro.com/about/sustainability/conservation/water_use_planning/vancouver_island/campbell_river.html.
Boussinesq, J. 1877. “Essai sur la théorie des eaux courantes.” In Vol. 23 and 24 of Mémoires présentés par divers savants à l’Académie des Sciences de L’Institut de France. Paris: Imprimerie nationale.
Cassan, L., and G. Belaud. 2012. “Experimental and numerical investigation of flow under sluice gates.” J. Hydraul. Eng. 138 (4): 367–373. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000514.
Castro-Orgaz, O., and W. H. Hager. 2014. “Transitional flow at standard slice gate.” J. Hydraul. Res. 52 (2): 264–273. https://doi.org/10.1080/00221686.2013.855951.
Castro-Orgaz, O., and W. H. Hager. 2017. Non-hydrostatic free surface flows. Cham, Switzerland: Springer.
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 (Jun): 387–419. https://doi.org/10.1017/S0022112006009530.
Fangmeier, D. D., and T. S. Strelkoff. 1968. “Solution for gravity flow under a sluice gate.” J. Eng. Mech. Div. 94 (1): 153–176.
Hager, W. H. 2010. Wastewater hydraulics: Theory and practice. 2nd ed. New York: Springer.
Henderson, F. M. 1966. Open channel flow. New York: Macmillan.
Hirt, C. W., and B. D. Nichols. 1981. “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys. 39 (1): 201–225. https://doi.org/10.1016/0021-9991(81)90145-5.
Huard, M. O., and S. S. Li. 2016. “Air pressure drop in a penstock during the course of intake-gate closure.” Can. J. Civ. Eng. 43 (11): 998–1006. https://doi.org/10.1139/cjce-2016-0321.
Ippen, A. T. 1949. “Channel transitions and controls.” In Proc., 4th Hydraulics Conf., edited by H. Rouse, 496–588. Iowa City, IA: Iowa Institute of Hydraulic Research.
Kalitzin, G., G. Medic, G. Iaccarino, and P. Durbin. 2005. “Near-wall behavior of RANS turbulence models and implications for wall functions.” J. Comput. Phys. 204 (1): 265–291. https://doi.org/10.1016/j.jcp.2004.10.018.
Launder, B. E., and D. B. Spalding. 1974. “The numerical computation of turbulent flows.” Comput. Method. Appl. Mech. 3 (2): 269–289. https://doi.org/10.1016/0045-7825(74)90029-2.
Lozano, D., M. Luciano, G. P. Merkley, and A. J. Clemmens. 2009. “Field calibration of submerged sluice gates in irrigation canals.” J. Irrig. Drain. Eng. 135 (6): 763–772. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000085.
Menter, F. R. 1994. “Two-equation eddy-viscosity turbulence models for engineering applications.” AIAA J. 32 (8): 1598–1605. https://doi.org/10.2514/3.12149.
Montes, J. S. 1997. “Irrotational flow and real fluid effects under planar sluice gates.” J. Hydraul. Eng. 123 (3): 219–232. https://doi.org/10.1061/(ASCE)0733-9429(1997)123:3(219).
Patankar, S. V. 1980. Numerical heat transfer and fluid flow. London: Taylor & Francis.
Rajaratnam, N., and J. A. Humphries. 1982. “Free flow upstream of vertical sluice gates.” J. Hydraul. Res. 20 (5): 427–437. https://doi.org/10.1080/00221688209499471.
Roth, A., and W. H. Hager. 1999. “Underflow of standard sluice gate.” Exp. Fluids 27 (4): 339–350. https://doi.org/10.1007/s003480050358.
Rouse, H. 1938. Fluid mechanics for hydraulic engineers. New York: Dover.
Rouse, H. 1950. Engineering hydraulics. New York: Wiley.
Schwarz, W. H., and W. P. Cosart. 1961. “The two-dimensional turbulent wall-jet.” J. Fluid Mech. 10 (4): 481–495. https://doi.org/10.1017/S0022112061000299.
Versteeg, H. K., and W. Malalasekera. 2007. An introduction to computational fluid dynamics. 2nd ed. Essex, UK: Pearson.
White, F. M. 2006. Viscous fluid flow. 3rd ed. New York: McGraw-Hill.
Wilcox, D. C. 2006. Turbulence modeling for CFD. La Canada, CA: DCW Industries.
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©2020 American Society of Civil Engineers.
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Received: Aug 31, 2018
Accepted: Sep 16, 2019
Published online: Jan 29, 2020
Published in print: Apr 1, 2020
Discussion open until: Jun 29, 2020
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