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Experimental analysis of hydraulic jump at high froude numbers

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Abstract

The hydraulic jump is a rapid transition state from supercritical to subcritical flow that occurs commonly in rivers, prismatic channels, and downstream of spillways. In this study, the characteristics of the hydraulic jump in a stilling basin downstream of the spillway chute channel with the slopes of α  =  12° and 30° were investigated experimentally for different Froude numbers of incoming flow, Fr1 = 7, 7.5, 8, 9, 10, and 12, and relative heights of sill in the range of 4 < hs/h1 (S) < 13 (hs, the sill height, h1 the flow depth at toe of the jump, S relative height). The velocity field was measured by laser Doppler Anemometry in the experiments, it was particularly focused on the effects of both different structural configurations and flow conditions on the hydraulic jump and energy dissipation ratio. Experimental measurements showed that the length of the hydraulic jump and the roller zone increases with the decrease of the sill height for α = 12° and 30°. In addition, the length of the hydraulic jump and roller zone increased with decreasing Froude numbers. The turbulence intensity in the jump region was determined to be greater than the turbulence intensity in the region near the bottom of the stilling basin. The turbulence intensity, in general, tended to decrease with decreasing Froude number.

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Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

References

  1. Chanson H 2015 Energy Dissipation in Hydraulic Structures. Taylor & Francis Group, London

    Book  Google Scholar 

  2. Gumus V, Simsek O, Soydan N G, Akoz M S and Kirkgoz M S 2016 Numerical modeling of submerged hydraulic jump from a sluice gate. J. Irrig. Drain. Eng. 142(1): 04015037

    Article  Google Scholar 

  3. Bakhmeteff B and Matzke A 1938 The hydraulic jump in sloped channels. Trans. ASME 60(HYD-60-l): 111–118

    Google Scholar 

  4. Kindsvater C E 1944 The hydraulic jump in slo** channels. Trans. ASCE 109: 1107–1154

    Google Scholar 

  5. Bradley J and Peterka A 1957 The hydraulic design of stilling basins: hydraulic jumps on a horizontal apron (basin i). J. Hydraul. Div. 83(5): 1–24

    Google Scholar 

  6. Bunyan J 1958 Some aspects of the design of hydraulic structures in alluvium. Proc. Inst. Civ. Eng. 10(2): 145–162

    Google Scholar 

  7. Smith D W and Walker J H 1959 Skin-Friction Measurements in Incompressible Flow. National Advisory Committee for Aeronautics

    Google Scholar 

  8. Rao N and Rajaratnam N 1963 The submerged hydraulic jump. J. Hydraul. Div. 89(1): 139–162

    Article  Google Scholar 

  9. Mahmood K 1964 Effect of apron slope on hydraulic jump performance. MSc Thesis, University of Washington, Washington

  10. Wielogorski J and Wilson E 1970 Non-dimensional profile area coefficients for hydraulic jump in slo** rectangular channels. Water Power 22(4): 144–150

    Google Scholar 

  11. Hari V M 1973 Plane jet on slo** floors under finite submergence. J. Hydraul. Div. 99(9): 1449–1460

    Article  Google Scholar 

  12. Rajaratnam N and Murahari V 1974 Flow characteristics of slo** channel jumps. J. Hydraul. Div. 100(6): 731–740

    Article  Google Scholar 

  13. Mikhalev M and An H T 1976 Kinematic characteristics of a hydraulic jump on a slo** apron. Hydrotech. Constr. 10(7): 686–690

    Article  Google Scholar 

  14. Hager W H 1988 B-jump in slo** channel. J. Hydraul. Res. 26(5): 539–558

    Article  Google Scholar 

  15. Sene K, Thomas N and Goldring B 1989 Planar plunge-zone flow patterns and entrained bubble transport. J. Hydraul. Res. 27(3): 363–383

    Article  Google Scholar 

  16. Kawagoshi N and Hager W 1990 B-jump in slo** channel, II. J. Hydraul. Res. 28(4): 461–480

    Article  Google Scholar 

  17. Ohtsu I and Yasuda Y 1991 Hydraulic jump in slo** channels. J. Hydraul. Eng. 117(7): 905–921

    Article  Google Scholar 

  18. Kazemi F, Khodashenas S R and Sarkardeh H 2016 Experimental study of pressure fluctuation in stilling basins. Int. J. Civ. Eng. 14(1): 13–21

    Article  Google Scholar 

  19. Chern M-J and Vaziri N 2020 Effect of porous media on hydraulic jump characteristics by using smooth particle hydrodynamics method. Int. J. Civ. Eng. 18(3): 367–379

    Article  Google Scholar 

  20. Peterka A 1958 Hydraulic Design of Stilling Basins and Energy Dissipaters Engineering Monograph No. 25. US Bureau of Reclamation, Denver Colorado

    Google Scholar 

  21. Vittal N and Al-Garni A M 1992 Modified type III stilling basin-new method of design. J. Hydraul. Res. 30(4): 485–498

    Article  Google Scholar 

  22. Pourabdollah N, Heidarpour M and Abedi Koupai J 2020 Characteristics of free and submerged hydraulic jumps in different stilling basins. In: Proceedings of the Institution of Civil Engineers-Water Management, vol. 3. Thomas Telford Ltd, pp. 121–131

  23. Izadjoo F and Shafai-Bejestan M 2007 Corrugated bed hydraulic jump stilling basin. J. Appl. Sci. 7(8): 1164–1169

    Article  Google Scholar 

  24. Ellayn A F and Sun Z-l 2012 Hydraulic jump basins with wedge-shaped baffles. J. Zhejiang Univ. Sci. A 13(7): 519–525

    Article  Google Scholar 

  25. Nandi B, Das S and Mazumdar A 2020 Experimental analysis and numerical simulation of hydraulic jump. In: IOP Conference Series: Earth and Environmental Science, vol. 1. IOP Publishing, p 012-024

  26. Ohtsu I, Yasuda Y and Yamanaka Y 1991 Drag on vertical sill of forced jump. J. Hydraul. Res. 29(1): 29–47

    Article  Google Scholar 

  27. Hager W H and Li D 1992 Sill-controlled energy dissipator. J. Hydraul. Res. 30(2): 165–181

    Article  Google Scholar 

  28. Debabeche M and Achour B 2007 Effect of sill in the hydraulic jump in a triangular channel/Effet du seuil sur le ressaut hydraulique dans un canal triangulaire. J. Hydraul. Res. 45(1): 135–139

    Article  Google Scholar 

  29. Ozbay O 2009 An investigation of energy dissipation ratios of different type energy dissipator blocks in chute channels. MSc, Firat University, Elazıg

  30. Alikhani A, Behrozi-Rad R and Fathi-Moghadam M 2010 Hydraulic jump in stilling basin with vertical end sill. Int. J. Phys. Sci. 5(1): 25–29

    Google Scholar 

  31. Hamidifar H and Omid M 2011 Using a broad crested sill to control hydraulic jump in a triangular channel. J. Civ. Eng. (IEB) 39(2): 103–110

    Google Scholar 

  32. Padulano R, Fecarotta O, Del Giudice G and Carravetta A 2017 Hydraulic design of a USBR type II stilling basin. J. Irrig. Drain. Eng. 143(5): 04017001

    Article  Google Scholar 

  33. Rand W 1965 Flow over a vertical sill in an open channel. J. Hydraul. Div. 91(4): 97–121

    Article  Google Scholar 

  34. Hager W H, Bremen R and Kawagoshi N 1990 Classical hydraulic jump: length of roller. J. Hydraul. Res. 28(5): 591–608

    Article  Google Scholar 

  35. Karki K and Kumar S 1992 Drag on vertical sill of forced jump-discussion. J. Hydraul. Res. 30(2): 280–284

    Article  Google Scholar 

  36. Ohtsu I, Yasuda Y and Hashiba H 1996 Incipient jump conditions for flows over a vertical sill. J. Hydraul. Eng. 122(8): 465–469

    Article  Google Scholar 

  37. Fathi-Moghadam M, Kiani S, Asiaban P and Behrozi-Rad R 2017 Modeling of perforated sill-controlled hydraulic jump. Int. J. Civ. Eng. 15(4): 689–695

    Article  Google Scholar 

  38. Dey S, Nath T K and Bose S K 2010 Fully rough submerged plane wall-jets. J. Hydro-environ. Res. 4(4): 301–316

    Article  Google Scholar 

  39. Carvalho R, Lemos C and Ramos C 2008 Numerical computation of the flow in hydraulic jump stilling basins. J. Hydraul. Res. 46(6): 739–752

    Article  Google Scholar 

  40. Long D, Steffler P and Rajaratnam N 1990 LDA study of flow structure in submerged hydraulic jump. J. Hydraul. Res. 28(4): 437–460

    Article  Google Scholar 

  41. Kucukali S and Chanson H 2008 Turbulence measurements in the bubbly flow region of hydraulic jumps. Exp. Therm. Fluid Sci. 33(1): 41–53

    Article  Google Scholar 

  42. Murzyn F and Chanson H 2008 Experimental assessment of scale effects affecting two-phase flow properties in hydraulic jumps. Exp. Fluids 45(3): 513–521

    Article  Google Scholar 

  43. Murzyn F and Chanson H 2009 Free-surface fluctuations in hydraulic jumps: Experimental observations. Exp. Therm. Fluid Sci. 33(7): 1055–1064

    Article  Google Scholar 

  44. Wang H and Chanson H 2015 Experimental study of turbulent fluctuations in hydraulic jumps. J. Hydraul. Eng. 141(7): 04015010

    Article  Google Scholar 

  45. Kirkgoz MS 2018 Çözümlü Problemlerle Akışkanlar Mekaniği. Birsen Yayınevi, Istanbul, Türkiye

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Correspondence to M. Sami Akoz.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Simsek, O., Akoz, M.S. & Oksal, N.G.S. Experimental analysis of hydraulic jump at high froude numbers. Sādhanā 48, 47 (2023). https://doi.org/10.1007/s12046-023-02081-8

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  • DOI: https://doi.org/10.1007/s12046-023-02081-8

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