Abstract
The discharge coefficient of a trapezoidal labyrinth side weir is a function of the Froude number F 1, the dimensionless effective crest length L/ℓ, the dimensionless weir length L/B, the dimensionless weir height p/h 1, and the sidewall angle α. A labyrinth weir is an overflow weir, folded in plan view to provide a longer total effective length for a given overall weir width. These weirs have advantages compared to the straight overflow weir and the standard ogee crest. Previous studies on the subject have generally focused on rectangular side weirs located on a straight channel. The present study investigates the hydraulic behavior of a trapezoidal labyrinth side weir. The results show that the discharge coefficient of labyrinth side weirs gives a significantly higher coefficient value compare to that of conventional straight side weirs. Discharge coefficient of the trapezoidal labyrinth side weir is 1.5 to 5.0 times higher than the conventional straight side weir. Consequently, an equation for the coefficient of discharge is introduced. The results predicted by the equation were shown to be very satisfactory using root mean square error (RMSE), mean absolute error (MAE) and correlation coefficient (R) statistics.
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References
Ackers P (1957) A theoretical consideration of side weirs as storm water overflows. In: Proc. of the ICE, London, vol 6, pp 250–269
Agaccioglu H, Yüksel Y (1998) Side weir flow in curved channels. J Irrig Drain Eng ASCE 124(3):163–175
Aghayari F, Honar T, Keshavarzi A (2009) A study of spatial variation of discharge efficient in broad-crested inclined side weirs. Irrig Drain 58:246–254
Borghei M, Jalili MR, Ghodsian M (1999) Discharge coefficient for sharp-crested side weir in subcritical flow. J Hydraul Eng ASCE 125(10):1051–1056
Cheong HF (1991) Discharge coefficient of lateral diversion from trapezoidal channel. J Irrig Drain Eng ASCE 117(4):321–333
Coleman GS, Smith D (1923) The discharging capacity of side weirs. In: Proc. of the ICE, London, vol 6, pp 288–304
Collings VK (1957) Discharge capacity of side weirs. In: Proc. Inst. Civ. Engr., 6, London, England, pp 288–304
De Marchi G (1934) Saggio di teoria de funzionamente degli stramazzi letarali. L’Energia Elettrica, Rome, Italy 11(11):849–860
Durga Rao KHV, Pillai CRS (2008) Study of flow over side weirs under supercritical conditions. Water Resour Manage 22:131–143
El-Khashab AMM (1975) Hydraulics of flow over side weirs. PhD thesis, Univ. of Southampton, England
El-Khashab AMM, Smith KVH (1976) Experimental investigation of flow over side weirs. J Hydraulics Div ASCE 102(Hy9):1255–1268
Emiroglu ME, Kaya N, Agaccioglu H (2010) Discharge capacity of labyrinth side weir located on a straight channel. J Irrig Drain Eng ASCE 136 (1):37–46
Falvey HT (2003) Hydraulic design of labyrinth weirs. American Society of Civil Engineers, Virginia, 161 pp
Frazer W (1957) The behavior of side weirs in prismatic rectangular channels. In: Proc. Inst. Civ. Eng., 6, London, England, pp 305–327
Ghodsian M (2003) Supercritical flow over rectangular side weir. Can J Civ Eng 30(3):596–600
Hager WH (1987) Lateral outflow over side weirs. J Irrig Drain Eng ASCE 113(4):491–504
Hager WH (1994) Supercritical flow in circular-shaped side weirs. J Irrig Drain Eng ASCE 120(1):1–12
Helweg OJ (1991) Microcomputer applications in water resources. Prentice-Hall, Englewood Cliffs
Karunanithi N, Grenney WJ, Whitley D, Bovee K (1994) Neural networks for river flow prediction. J Comp Civil Eng ASCE 8(2):201–220
Kumar CP, Pathak SK (1987) Triangular side weirs. J Irrig Drain Eng ASCE 113(1):98–105
Lux F (1989) Design and application of labyrinth weirs. In: Alberson ML, Kia RA (eds) Design of hydraulic structures 89. Balkema/Rotterdam/Brookfield
Nandesamoorthy T, Thomson A (1972) Discussion of spatially varied flow over side weir. J Hydroul Eng ASCE 98(12):2234–2235
Ranga Raju KG, Prasad B, Grupta SK (1979) Side weir in rectangular channels. J Hydraul Div ASCE Proc 105(HY5):547–554
Singh R, Manivannan D, Satyanarayana T (1994) Discharge coefficient of rectangular side weirs. J Irrig Drain Eng ASCE Proc 120(4):814–819
Subramanya K, Awasthy SC (1972) Spatially varied flow over side weirs. J Hydraul Div ASCE 98(HY1):1–10
Swamee PK, Santosh KP, Masoud SA (1994) Side weir analysis using elementary discharge coefficient. J Irrig Drain Eng ASCE 120(4):742–755
Tullis JP, Nosratollah A, Waldron D (1995) Design of labyrinth spillways. J Hydraul Eng ASCE 121(3):247–255
Uyumaz A, Muslu Y (1985) Flow over side weir in circular channels. J Hydraul Eng ASCE 111(1):144–160
Venutelli M (2008) Method of solution of nonuniform flow with the presence of rectangular side weir. J Irrig Drain Eng ASCE 134(6):840–846
Wormleaton PR, Soufiani E (1998) Aeration performance of triangular planform labyrinth weirs. J Environ Eng ASCE 124 (8):709–719
Wormleaton PR, Tsang CC (2000) Aeration performance of rectangular planform labyrinth weirs. J Environ Eng ASCE 126(5):456–465
Yu-Tech L (1972) Discussion of spatially varied flow over side weir. J Hydraul Eng ASCE 98(11):2046–2048
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Emiroglu, M.E., Kaya, N. Discharge Coefficient for Trapezoidal Labyrinth Side Weir in Subcritical Flow. Water Resour Manage 25, 1037–1058 (2011). https://doi.org/10.1007/s11269-010-9740-7
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DOI: https://doi.org/10.1007/s11269-010-9740-7