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Dynamic Pressure at Flip Buckets of Chute Spillways: A Numerical Study


This study investigates the dynamic pressure at the flip buckets of chute spillways, which is one of the most important design parameters of these structures. First, the dimensionless parameters affecting pressure were determined by dimensional analysis. Following that, according to the characteristics of selected dams with chute spillways leading to flip buckets, certain Froude number intervals of inflow to the flip bucket, as well as the chute slope angle, radius, and flip bucket curvature angle were selected for analysis. The combination of these parameters resulted in a total of 137 models simulated in FLOW-3D to obtain bottom pressure and maximum pressure values in the flip bucket. Next, based on the dimensionless parameters considered, equations were proposed to determine the bottom pressure and maximum pressure in the flip bucket downstream of the chute, using multiple regression analysis. Using the numerical modeling run results, along with multiple regression analyses, the unknown coefficients of the dimensionless pressure relationship were determined, and final equations for the bottom pressure and maximum pressure were presented. The correlation coefficient and Mean Absolute Percentage Error (MAPE) values of the proposed equations for determining the bottom pressure and maximum pressure were 0.94 and 0.96, and, 6.75% and 8.49%, respectively. These values indicate the appropriate accuracy of the proposed equations. In the proposed equations, the Froude number, relative curvature, chute slope angle, takeoff angle, and flip bucket’s curvature angle, respectively, had the highest impacts on the bottom pressure and maximum pressure.

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  1. Vischer DL, Hager WH (1995) Energy dissipators. Balkema, Rotterdam, The Netherlands

    Google Scholar 

  2. Khatsuria RM (2005) Hydraulics of spillways and energy dissipators. CRC Press, Dekker, New York

    Google Scholar 

  3. Novak P, Moffat AIB, Nalluri C, Narayanan R (2006) Hydraulics structures. Spon, London

    Google Scholar 

  4. Chow VT (1959) Open channel hydraulics. McGraw-Hill Book Co., New York

    Google Scholar 

  5. Balloffet A (1961) Pressures on spillway flip buckets. J Hydraul Div ASCE 87(5):87–98.

    Article  Google Scholar 

  6. Chen TC, Yu YS (1965) Pressure distribution on spillway flip buckets. J Hydraul Div ASCE 91(2):51–63.

    Article  Google Scholar 

  7. Lenau CW, Cassidy JJ (1969) Flow through spillway flip bucket. Journal of the Hydraulics Division ASCE 95(2):633–648.

    Article  Google Scholar 

  8. Juon R, Hager WH (2000) Flip bucket without and with deflectors. J Hydraul Eng 126(11):837–845.

    Article  Google Scholar 

  9. Savage BM, Johnson MC (2001) Flow over ogee spillway: physical and numerical model case study. J Hydraul Eng 127(8):640–649.

    Article  Google Scholar 

  10. Heller V, Hager WH, Minor HE (2005) Ski jump hydraulics. J Hydraul Eng 131(5):347–355.

    Article  Google Scholar 

  11. Larese A, Rossi R, Onate E, Idelsohn SR (2008) Validation of the particle finite element method (PFEM) for simulation of free surface flows. Eng Comput 25(4):385–425.

    Article  MATH  Google Scholar 

  12. Steiner R, Heller V, Hager WH, Minor HE (2008) Deflector ski jump hydraulics. J Hydraul Eng 134(5):562–571.

    Article  Google Scholar 

  13. Kirkgoz MS, Akoz MS, Oner AA (2009) Numerical modeling of flow over a chute spillway. J Hydraul Res 47(6):790–797.

    Article  Google Scholar 

  14. Jorabloo M, Maghsoodi R, Sarkardeh H (2011) 3D simulation of flow over flip buckets at dams. J Am Sci 7(6):931–936

    Google Scholar 

  15. Nazari O, Jabbari E, Sarkardeh H (2015) Dynamic pressure analysis at chute flip buckets of five dam model studies. Int J Civil Eng 13(1):45–54.

  16. Yamini OA, Kavianpour MR, Movahedi A (2015) Pressure distribution on the bed of the compound flip buckets. J Comput Multiphase Flows 7(3):181–194.

    Article  Google Scholar 

  17. Hojjati SH, Mohammadiun S, Salehi Neyshabouri SAA (2016) Effects of different turbulence models on flow over a triangular flip- bucket. Modares Civil Eng J 16(4):69–81 (in Persian)

    Google Scholar 

  18. Lauria A, Alfonsi G (2020) Numerical investigation of ski jump hydraulics. J Hydraul Eng 146(4):121–127.

    Article  MATH  Google Scholar 

  19. Muralha A, Melo J, Ramos HM (2020) Assessment of CFD solvers and turbulent models for water free jets in spillways. Fluids 5(3):104.

    Article  Google Scholar 

  20. Novak P, Cabelka J (1981) Model in hydraulic engineering. Pitman Advanced Publishing Program, London

    Google Scholar 

  21. Flow Science, Inc. FLOW-3D User Manual Version 11.2.

  22. Water Research Institute (2003) Hydraulic model of Shafaroud Dam flood control system. Final Report, vol 5. Hydraulic structures Divisions, Tehran, Iran, Chapter 5, pp 1–35 (in Persian)

    Google Scholar 

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Correspondence to Fouad Kilanehei.

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Aghaei, Y., Kilanehei, F., Faghihirad, S. et al. Dynamic Pressure at Flip Buckets of Chute Spillways: A Numerical Study. Int J Civ Eng 20, 421–432 (2022).

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  • Dam spillway
  • Flip bucket
  • Ski jump
  • Dynamic pressure
  • Numerical modeling
  • FLOW-3D