Discharge Coefficients for Radial-Gated Ogee Spillways by Laboratory Data and by Design of Small Dams

Yıl 2021, Cilt: 32 Sayı: 4, 10919 - 10945, 01.07.2021

Tefaruk Haktanır Mohammed Khalaf

https://doi.org/10.18400/tekderg.540640

Öz

Using the measured data on 15 laboratory models in USA, six models and one prototype in Turkey, the discharge coefficients (C’s) of radial-gated ogee spillways for various gate openings and lake water surface elevations are computed. Comparison of these C’s for 22 spillways with the ones given by Figure 9-31 of Design of Small Dams does not show close agreements. It is determined that C depends on both the angle Ɵ and the ratio d/H1, rather than Ɵ only where d and H1 are the gate opening and the upstream head, and statistically significant regression equations are computed individually for each one of 22 cases.

Anahtar Kelimeler

discharge coefficient for partially-opened radial-gated spillways, ogee spillways, coefficient

Kaynakça

• [1] USBR, Design of Small Dams, Second edition, US Department of The Interior, Bureau of Reclamation, US Government Printing Office, Washington DC, 1973.
• [2] USBR, Design of Small Dams, A Water Resources Technical Publication, Third edition, US Department of The Interior, Bureau of Reclamation, US Government Printing Office, Washington DC, 1987.
• [3] DSI, Ilısu Dam and Hydroelectric Power Plant, Hydraulic Report of Flood Spillway, Rep–14.160/0030–Rev.1. Colenco Power Engineering Ltd, IM Magia Engineering, Dolsar Engineering, Rast Engineering Ltd., Dams and Hydroelectric Power Plants Department, General Directorate of State Water Works, Ankara, Turkey, 2010.
• [4] Enerjisa, Hydraulic Design of Flood Spillway of Kavsak Dam. Enerjisa Engineering Ltd, Istanbul, Turkey, 2009.
• [5] Sanko, Final Feasibility Report of Yedigoze Dam and HPP Volume 1, Appendix-4: Hydraulic Design of Flood Spillway (in Turkish). Sanko Engineering and Consulting Inc., Cetin Emec Boulevard, 6th Street, No: 61/7, 06520 Balgat, Ankara, Turkey, 2007.
• [6] Temelsu, Final Design Project of Bayramhacılı Dam and HPP, Chapter 3.1: Hydraulic Design of Flood Spillway (in Turkish). Temelsu Engineering and Consulting Inc., Ankara, Turkey, 2007.
• [7] USACE, Hydraulic Design Criteria, Volume 2, Tainter Gates on Spillway Crests, Sheets 311-1 to 311-5. Department of the Army, Corps of Engineers, Mississippi River Commission, Waterways Experimentation Station, Vicksburg, Mississippi, USA, 1987.
• [8] Mazumdar, S. K. and Roy, I. D., Orifice flow in a gated spillway. ISH Journal of Hydraulic Engineering, 3(2), 44–52, DOI: 10.1080/09715010.1997.10514609, 1997.
• [9] Savage, B. M. and Johnson, M. C., Flow over ogee spillway: Physical and numerical model case study. Journal of Hydraulic Engineering, ASCE, 127(8), 640–649, 2001.
• [10] Kim, G. D. and Park, J. H., Analysis of flow structure over ogee-spillway in consideration of scale and roughness effects by using CFD model. KSCE Journal of Civil Engineering, 9(2), 161–169, DOI: 10.1007/BF02829067, 2005.
• [11] Alhashimi, S. A. M., CFD modeling of flow over ogee spillway by using different turbulent models. International Journal of Scientific Engineering and Technology Research, 2(15), 1682–1687, 2013.
• [12] Bagatur, T. and Onen, F., Computation of design coefficients in ogee-crested spillway structure using GEP and regression models. KSCE Journal of Civil Engineering, 20(2), 951–959. DOI 10.1007/s12205–015–0648–x, 2016.
• ]13] Ansar, M. and Chen, Z., Generalized flow rating equations at prototype gated spillways. Journal of Hydraulic Engineering, ASCE, 135(7), 602–608, 2009.
• [14] Bahajantri, M. R., Eldho, T. I., Deolalikar, P. B., Numerical modeling of turbulent flow through spillway with gated operation. International Journal for Numerical Methods in Engineering, 72, 221–243. DOI: 10.1002/nme.2016, 2007.
• [15] Saunders, K., Prakash, M., Cleary, P. W., Cordell, M., Application of Smoothed Particle Hydrodynamics for modeling gated spillway flows. Applied Mathematical Modelling, 38, 4308–4322, DOI: 10.1016/j.apm.2014.05.008, 2014.
• [16] Schohl, G. A., Discharge Correlations for Spillways with Radial Gates. In B. Crookston & B. Tullis (Eds.), Hydraulic Structures and Water System Management. 6th IAHR International Symposium on Hydraulic Structures, Portland, OR, 27–30 June (pp. 641–651). Doi: 10.15142/T34106228160853 (ISBN 978–1–884575–75–4), 2016.
• [17] Haug, P. E., Spillway Capacity and Discharge Uncertainty – Why Do Rating Curves Rarely Agree with Flow Measurement Records? (http://www.ayresassociates.com/wp-content/uploads/2014/02/Spillway-Rating-Curves-Flow-Studies.pdf), 2014.
• [18] Haktanir, T., Citakoglu, H., Kucukgoncu, H., An efficient algorithm for ogee spillway discharge with partially-opened radial gates by the method of Design of Small Dams and comparison of current and previous methods. The International Journal of Engineering and Science (IJES), 5(7), 13–26, ISSN (e): 2319 – 1813 ISSN (p): 2319 – 1805, 2016.
• [19] USBR, Hydraulic Model Studies of Boysen Dam Spillway, Report No: 212,US Department of The Interior, Bureau of Reclamation, Engineering Laboratories Branch, Design and Construction Division, Denver, Colorado, USA, 1952.
• [20] USBR, Hydraulic Model Studies on Norton Dam Spillway, Missouri River Basin Project, Kanas, Report No: Hyd-493, US Department of The Interior, Bureau of Reclamation, Hydraulic Branch, Division of Research, Office of Assistant Commissioner and Chief Engineer, Denver, Colorado, USA, 1962.
• [21] USBR, Hydraulic Model Studies of the Spillway Glen Elder Dam, Missouri River Basin Project, Kansas, Report No: Hyd-561, US Department of The Interior Bureau of Reclamation, Hydraulic Branch, Division of Research, Office of Chief Engineer, Denver, Colorado, USA, 1966.
• [22] USBR, Hydraulic Model Studies of Toa Vaca Dam Spillway, Puerto Rico Water Resources Authority, Report No: REC-OCE-70-42, US Engineering and Research Center Bureau of Reclamation, Division of General Research, Denver, Colorado, USA, 1970.
• [23] USBR, Hydraulic Model Studies of McPhee Dam Spillway, Report No: GR-81-2, US Engineering and Research Center Bureau of Reclamation, Hydraulic Branch, Division of Research, Denver, Colorado, USA, 1981.
• [24] USBR, Physical Hydraulic Model Studies of Folsom Dam Emergency Spillway, Tainter Gate Alternatives, Report No: HL-2014-01, US Department of The Interior Bureau of Reclamation, Technical Service Center, Hydraulic Investigation and Laboratories Services, Denver, Colorado, USA, 2014.
• [25] USACE, Report on Model Studies of Spillway for Kaysinger Bluff Dam Osage River, Missouri, Hydraulic Model Investigation, Report No: TR/2-809, US Department of The Army Engineer, Waterways Experiment Station, Vicksburg, Miss., USA, 1968.
• [26] USACE, Report on Model Studies of Spillway for Oakley Dam, Sangamon River, Hydraulic Model Investigation, Technical Report TR-H-70-13. Hydraulics Laboratory, US Department of The Army Engineer, Waterways Experiment Station, Vicksburg, Miss., USA, 1970.
• [27] USACE, Report on Model Studies of Spillway for Oakley Dam Sangamon River, Illinois. Appendix A: Type 2 (Revised) Spillway, Hydraulic Model Investigation, Report No: TR/H-70-13-App-A, US Department of The Army Engineer, Waterways Experiment Station, Vicksburg, Miss., USA, 1972.
• [28] USACE, Report on Model Studies of Spillway for Burnsville Dam, Little Kanawha River, West Virginia, Hydraulic Model Investigation, Report No: TR/H-75-5, US Department of The Army Engineer, Waterways Experiment Station, Vicksburg, Miss., USA, 1975.
• [29] USACE, Report on Model Studies of Typical Tennessee-Tombigbee Canal Section Spillways, Spillways A and B, Hydraulic Model Investigation, Technical Report H-78-21, Hydraulics Laboratory, US Department of The Army Engineer, Waterways Experiment Station, Vicksburg, Miss., USA, 1978.
• [30] USACE, Report on Model Studies of Spillway for Cooper Dam, Sulphur River, Texas. Hydraulic Model Investigation, Report No: TR/HL-80-15, US Department of The Army Engineer, Waterways Experiment Station, Vicksburg, Miss., USA, 1980.
• [31] USACE, Report on Model Studies of Bloomington Spillway North Branch Potomac River Maryland and West Virginia, Hydraulic Model Investigation, Report No:TR/HL-83-9, US Department of The Army, Waterways Experiment Station, Vicksburg, Miss., USA, 1983.
• [32] USACE, Report on Model Studies of Lake Darling Spillway Souris River, North Dakota, Hydraulic Model Investigation, Report No: TR/HL-88-9, US Department of The Army Engineer, Waterways Experiment Station, Vicksburg, Miss., USA, 1988.
• [33] USACE, Report on Model Studies of Pompton Dam Spillway, Pompton Lake Ramapo River Basin, New Jersey, Hydraulic Model Investigation, Technical Report HL-91-19, US Department of The Army Engineer, Waterways Experiment Station, Vicksburg, Miss., USA, 1991.
• [34] DSI, Report on Flowrate Measurements at the Flood Routing Spillway of Seyhan Dam (in Turkish). Ministry of Housing and Development, General Directorate of State Water Works, Ankara, Turkey, 1959.
• [35] DSI, Report on Model Studies of Flood Spillway of Kigi Dam, Model no:356, Publication no: 969 (in Turkish). Technical Research and Quality Control Department, General Directorate of State Water Works, Ankara, Turkey, 2004.
• [36] DSI, Report on Model Studies of Flood Spillway of Yedigoze Dam, Model no:381, Publication no: 995 (in Turkish). Technical Research and Quality Control Department, General Directorate of State Water Works, Ankara, Turkey, 2008.
• [37] DSI, Report on Model Studies of Flood Spillway of Kavsak Dam, Model no:385, Publication no: 1005 (in Turkish). Technical Research and Quality Control Department, General Directorate of State Water Works, Ankara, Turkey, 2010.
• [38] DSI, Report on Model Studies of Flood Spillway of Beyhan-1 Dam, Model no:392, Publication no: 1017 (in Turkish). Technical Research and Quality Control Department, General Directorate of State Water Works, Ankara, Turkey, 2012.
• [39] DSI, Report on Model Studies of Flood Spillway of Incir Dam, Model no:402, Publication no: 1026 (in Turkish). Technical Research and Quality Control Department, General Directorate of State Water Works, Ankara, Turkey, 2013.
• [40] DSI, Report on Model Studies of Flood Spillway of Yusufeli Dam, Model no:406, Publication no: 1033 (in Turkish). Technical Research and Quality Control Department, General Directorate of State Water Works, Ankara, Turkey, 2015.
• [41] Khalaf M., Comparison of Discharge Coefficients for Partially-Opened Radial-Gated Ogee Spillways, M. Sc. Thesis. Graduate School of Natural and Applied Sciences, Erciyes University, Kayseri, Turkey, 2017.