Technical Papers
Aug 19, 2016

Local Scour Upstream of a Slit Weir: Ordinary Differential Equation–Based Model under Steady and Unsteady Flow Conditions

Publication: Journal of Hydraulic Engineering
Volume 143, Issue 1

Abstract

Time-varying scouring upstream of a sediment release gate during a flood needs to be accurately predicted for reducing sedimentation around a water intake. This paper presents an ordinary differential equation–based model for computing time variation of scoured volume and maximum scour depth upstream of a slit weir for steady and unsteady flow. The model is based on the sediment continuity equation and sediment entrainment volume from a scour hole. There are some hypotheses in the model, and these hypotheses were examined by carrying out (1) 45 runs of scour inception tests, (2) 36 runs of numerical tests using computational fluid dynamics, and (3) 33 runs of physical scour tests measuring time variation of scoured topography. The model was validated with the scour tests for steady and unsteady flow conducted in the present study in addition to those reported in different research. The model was found to agree well with the data of time variation of the scoured volume and maximum scour depth, allowing for using a consistent numerical scheme irrespective of steady or unsteady flow condition.

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References

Arimitsu, T., and Makino, S. (2014). “Flow and sediment transport under gate discharge.” Proc., 63rd National Congress of Theoretical and Applied Mechanics, Science Council of Japan, Japan (in Japanese).
Baud, O., and Hager, W. H. (2000). “Tornado vortices in settling tanks.” J. Environ. Eng., 189–191.
Chang, W. Y., Lai, J. S., and Yen, C. L. (2004). “Evolution of scour depth at circular bridge piers.” J. Hydraul. Eng., 905–913.
Dey, S., and Barbhuiya, A. K. (2005). “Time variation of scour at abutments.” J. Hydraul. Eng., 11–23.
Dixen, M., Sumer, B. M., and Fredsøe, J. (2013). “Numerical and experimental investigation of flow and scour around a half-buried sphere.” Coastal Eng., 73, 84–105.
Esmaeili, T., Sumi, T., Chang, W. V., and Vakili, A. (2013). “Application of steady flows for simulating the local scour depth under time varying flows.” Proc., 12th Int. Symp. River Sedimentation, CRC Press, Netherlands, 905–912.
Fael, C. M. S., Simarro-Grande, G., Martín-Vide, J. P., and Cardoso, A. H. (2006). “Local scour at vertical wall abutments under clear water flow conditions.” Water Resour. Res., 42(10), W10408.
Fernandez Luque, R., and Van Beek, R. (1976). “Erosion and transport of bed-load sediment.” J. Hydraul. Res., 14(2), 127–144.
Gaudio, R., and Marion, A. (2003). “Time evolution of scouring downstream of bed sills.” J. Hydraul. Res., 41(3), 271–284.
Guan, D., Melville, B. W., and Friedrich, H. (2015). “Live-bed scour at submerged weirs.” J. Hydraul. Eng., 04014071.
Hager, W. H., and Oliveto, G. (2002). “Shields’ entrainment criterion in bridge hydraulics.” J. Hydraul. Eng., 538–542.
Jasak, H. (1996). “Error analysis and estimation for the finite volume method with application to fluid flows.” Ph.D. thesis, Dept. of Mechanical Engineering, Imperial College of Science, Technology and Medicine, London.
Kothyari, U. C., Garde, R. C. J., and Ranga Raju, K. G. (1992). “Temporal variation of scour around circular bridge piers.” J. Hydraul. Eng., 1091–1106.
Lauchlan, C. (2004). “Experimental investigation of bed-load and suspended-load transport over weirs.” J. Hydraul. Res., 42(5), 551–558.
Martin-Vide, J. P. (2007). “Local scour in a protruding wall on a river bank.” J. Hydraul. Res., 45(5), 710–714.
Melville, B. W. (1997). “Pier and abutment scour: Integrated approach.” J. Hydraul. Eng., 125–136.
Melville, B. W., and Chiew, Y. M. (1999). “Time scale for local scour at bridge piers.” J. Hydraul. Eng., 59–65.
Muller, S., Guiraud, P., and Line, A. (2011). “Particle bed deformation in front of a weir induced by subcritical laminar flow.” J. Hydraul. Res., 49(2), 194–204.
Nagata, N., Hosoda, T., Nakato, T., and Muramoto, Y. (2005). “Three-dimensional numerical model for flow and bed deformation around river hydraulic structures.” J. Hydraul. Eng., 1074–1087.
Nakagawa, H., and Tsujimoto, T. (1980). “Sand bed instability due to bed load motion.” J. Hydraul. Div., 106(12), 2029–2051.
Nakagawa, H., Tsujimoto, T., Murakami, S., and Gotoh, H. (1990). “Transition mechanism from saltation to suspension in bed-material load transport.” J. Hydrosci. Hydraul. Eng., 8(1), 41–54.
Oliveto, G., and Hager, W. H. (2002). “Temporal evolution of clear-water pier and abutment scour.” J. Hydraul. Eng., 811–820.
Oliveto, G., and Hager, W. H. (2005). “Further results to time-dependent local scour at bridge elements.” J. Hydraul. Eng., 97–105.
Ota, K., and Sato, T. (2013). “Temporal evolution of a scour hole upstream of a slit in a vertical wall.” Proc., 12th Int. Symp. River Sedimentation, CRC Press, Netherlands, 913–920.
Ota, K., and Sato, T. (2015). “Experimental and numerical study of the local scour caused by sediment releasing through a dam gate.” J. JSCE, 3(1), 184–190.
Ota, K., Sato, T., and Nakagawa, H. (2015). “3D numerical model of sediment transport considering transition from bed-load motion to suspension: Application to a scour upstream of a cross-river structure.” Ann. J. Hydraul. Eng., 59(4), I-883–I-888 (in Japanese).
Raudkivi, A. J., and Ettema, R. (1977). “Effect of sediment gradation on clear water scour.” J. Hydraul. Div., 103(10), 1209–1213.
Roulund, A., Sumer, B. M., Fredsøe, J., and Michelsen, J. (2005). “Numerical and experimental investigation of flow and scour around a circular pile.” J. Fluid Mech., 534, 351–401.
Tregnaghi, M., Marion, A., Bottacin-Busolin, A., and Tait, S. J. (2011). “Modelling time varying scouring at bed sills.” Earth Surf. Process. Landforms, 36(13), 1761–1769.
Wong, M., Parker, G., DeVries, P., Brown, T. M., and Burges, S. J. (2007). “Experiments on dispersion of tracer stones under lower-regime plane-bed equilibrium bed load transport.” Water Resour. Res., 43(3), W03440.
Yanmaz, A. M. (2006). “Temporal variation of clear water scour at cylindrical bridge piers.” Can. J. Civ. Eng., 33(8), 1098–1102.
Yanmaz, A. M., and Kose, O. (2009). “A semi-empirical model for clear-water scour evolution at bridge abutments.” J. Hydraul. Res., 47(1), 110–118.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 143Issue 1January 2017

History

Received: Oct 22, 2015
Accepted: May 27, 2016
Published online: Aug 19, 2016
Published in print: Jan 1, 2017
Discussion open until: Jan 19, 2017

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Authors

Affiliations

Kazuyuki Ota [email protected]
Research Engineer, Fluid Dynamics Sector, Central Research Institute of Electric Power Industry, Chiba 270-1194, Japan (corresponding author). E-mail: [email protected]
Takahiro Sato [email protected]
Senior Research Engineer, Fluid Dynamics Sector, Central Research Institute of Electric Power Industry, Chiba 270-1194, Japan. E-mail: [email protected]
Ryosuke Arai [email protected]
Research Associate, Fluid Dynamics Sector, Central Research Institute of Electric Power Industry, Chiba 270-1194, Japan. E-mail: [email protected]
Hajime Nakagawa [email protected]
Professor, Disaster Prevention Research Institute, Kyoto Univ., Kyoto 612-8235, Japan. E-mail: [email protected]

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