Abstract
The spillways are mainly used for flood releases from dam reservoirs and flow diversion from rivers. The quarter-circular crested spillway is the new shape of spillways. The upstream quadrant of this spillway consisted of a quarter-circular arc, and its downstream surface profile is matched on lower nappe profile of free jet over the quarter-circular crested weir. The present study aims to formulate the geometry and discharge properties of quarter-circular crested spillway. To these ends, experiments were conducted on eleven models of quarter-circular crested weir and the crest radius, downstream surface profile and design head of the quarter-circular crested spillway were formulated using experimentally measured data. Applying the convex streamline theory, the discharge coefficient and crest section velocity profile of the quarter-circular crested spillway at design head were also formulated. Results indicated good agreement between theoretically obtained equations and the experimentally measured data. Additionally, discharge coefficient of quarter-circular crested spillway is obtained equal to that of the classical ogee spillway. Surface body area, and consequently structural weight of quarter-circular crested spillway, is about 18% greater than that of classical ogee spillway, contributing more structural stability of quarter-circular crested spillway. Practically, quarter-circular crested spillway can be used as a suitable alternative instead of sloping the upstream face of the classical ogee spillway for structural stability.
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References
Bos MG (1978) Discharge measurement structures. Institute of Land Reclamation and Improvement ILRI, Wageningen, The Netherlands (Publication 20)
Bradley JN (1952) Discharge coefficients for irregular overfall spillways. Engineering monograph No. 9, U.S. Department of Interior, Denver, Colorado
Cassidy JJ (1970) Designing spillway crests for high-head operation. J Hydraul Div 96(3):745–753
Castro-Orgaz O (2010) Steady open channel flows with curved streamlines: the Fawer approach revised. Env Fluid Mech 10(3):297–310
Castro-Orgaz O, Hager WH (2014) Scale effects of round-crested weir flow. J Hydraul Res 52(5):653–665
Chanson H (2004) The hydraulics of open channel flow: an introduction, 2 edn
Curtis KW (2016) Size scale effects on linear weir hydraulics. MSc thesis, Utah State University
Erpicum S, Tullis BP, Lodomez M, Archambeau P, Dewals BJ, Pirotton M (2016) Scale effects in physical piano key weirs models. J Hydraul Res 54(6):692–698
Erpicum S, Blancher B, Peltier Y, Vermeulen J, Archambeau P, Dewals B, Pirotton M (2018) Experimental study of ogee crested weir operation above the design head and influence of the upstream quadrant geometry. In: 7th international symposium on hydraulic structures, Aachen, Germany
Hager WH (1987) Continuous crest profile for standard spillway. J Hydraul Eng 113(11):1453–1457
Heller V (2011) Scale effects in physical hydraulic engineering models. J Hydraul Res 49(3):293–306
Huber LE, Evers FM, Hager WH (2017) Solitary wave overtopping at granular dams. J Hydraul Res 55(6):799–812
Jaeger C (1956) Engineering fluid mechanics. Blackie, London
Mays LW (1999) Hydraulic design handbook, Chapter 17. McGraw-Hill, New York
Mohammadzadeh-Habili J, Heidarpour M (2013) Application of convex streamline theory to circular-crested weir. Biosyst Eng 116(4):326–334
Mohammadzadeh-Habili J, Heidarpour M (2015) Discussion of “Discharge coefficient of circular-crested weirs based on a combination of flow around a cylinder and circulation” by Abdorreza Kabiri-Samani and Sara Bagheri. J Irrig Drain Eng 141(9):07015006
Mohammadzadeh-Habili J, Heidarpour M, Afzalimehr H (2013) Hydraulic characteristics of a new weir entitled of quarter-circular crested weir. Flow Meas Inst 33:168–178
Mohammadzadeh-Habili J, Heidarpour M, Haghiabi A (2016) Comparison the hydraulic characteristics of finite crest length weir with quarter-circular crested weir. Flow Meas Inst 52:77–82
Moñino A, Losada MA, Riera J (2007) Steady flow regime for free overfall spillways Influence of the ascending branch of the spillway crest. J Hydraul Res 45(3):388–399
Olsen N, Kjellesvig H (1998) Three dimensional numerical modelling for estimation of spillway capacity. J Hydraul Res 36(5):775–784
Ramamurthy AS, Vo N-D, Vera G (1992) Momentum model of flow past weir. J Irrig Drain Eng 118(6):988–994
Reese AJ, Maynord ST (1987) Design of spillway crests. J Hydraul Eng 113(4):476–490
Shabanlou S, Khorami E, Rajabi A (2013) The effects of various upstream arches of crest of the circular crested weir on hydraulic parameters. Flow Meas Inst 32:103–106
Tullis BP (2011) Behavior of submerged ogee crest weir discharge coefficients. J Irrig Drain Eng 137(10):677–681
U.S. Army Corps of Engineers (1995) Hydraulic design of spillways technical engineering and design guides. ASCE Press, New York
U.S. Bureau of Reclamation (USBR) (1942) Studies on crests for overfall dams. Bulletin 3, Part VI, Hydraulic investigations, Boulder Canyon final reports. U.S. Department of Interior, Denver, Colorado
U.S. Bureau of Reclamation (USBR) (1987) Design of small dams. United States Department of the Interior, 3rd edn. Denver, Colorado
Wen X, Guo Y, Fang D (1998) Numerical Modelling of spillway flow with free drop and initially unknown discharge. J Hydraul Res 36(5):785–801
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Hoseini, A., Mohammadzadeh-Habili, J. Investigation of Quarter-Circular Crested Spillway Using Experiments and Convex Streamline Theory. Iran J Sci Technol Trans Civ Eng 46, 1491–1501 (2022). https://doi.org/10.1007/s40996-021-00695-8
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DOI: https://doi.org/10.1007/s40996-021-00695-8