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Unified discharge coefficient formula for free and submerged triangular labyrinth weirs
Affiliation:1. Department of Water Engineering, Faculty of Engineering and Technology, Imam Khomeini International University, Qazvin, Iran;2. Irrigation and Reclamation Eng. Dept., University of Tehran, P.O. Box 31587-4111, Karaj 31587-77871, Iran;1. Islamic Azad University, AHAR Branch, Civil Engineering Department, Tabriz, East Azerbaijan, Iran;2. Dokuz Eylül University, Civil Engineering Department, Tinaztepe Campus, Box. 35160, Izmir, Turkey;3. Urmia University, Water Engineering Department, Urmia, West Azerbaijan, Iran;4. Civil Engineering Department, Dokuz Eylül University, 35160, Buca, Izmir, Turkey;5. Water Engineering Department, Urmia University, Urmia, West Azerbaijan, Iran;1. Department of Civil Engineering, Semnan University, Semnan, Iran;2. Faculty of Electrical and Computer Engineering, Semnan University, Semnan, Iran;1. Faculty of Civil and Environmental Engineering, Tarbiat Modares University, 14115-115 Tehran, Iran;2. Faculty of Engineering, Kharazmi University, 15719-14911 Tehran, Iran;3. Water Engineering Research Institute, Faculty of Civil and Environmental Engineering, Tarbiat Modares University, 14115-397 Tehran, Iran
Abstract:The flow through a triangular plan labyrinth weir is studied for both free and submerged flow conditions experimentally and theoretically. The free flow condition is studied using a new experimental data set collected in this study. For the submerged flow condition, the threshold between free and submerged flow regimes is studied experimentally. Then Buckingham analysis is employed to determine the submerged head-discharge formula of the triangular plan labyrinth weir. Finally, a step by step calibration method is proposed to find the unified discharge coefficient. The proposed discharge coefficient can be used for both free and submerged flow conditions continuously and within the transition zone.
Keywords:Labyrinth weir  Free flow  Submerged flow  Linear weir  Discharge coefficient  Head-discharge relationship
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