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Hydraulic Jump Control Using Stilling Basin with Abruptly Expanding and Negative Step

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Abstract

The present research describes a laboratory study of a hydraulic jump in an abruptly expanding channel and a negative step. The Froude numbers were chosen between 4.5 and 9. This steady hydraulic jump is insensitive to downstream conditions (i.e., tailwater depth). It has an energy dissipation of 45–70%, and therefore it is a good economical design. Four physical models with the expansion ratios of B = 1, 1.33, 1.6, and 2, and two different heights of negative steps (s = 3 and 6 cm) were considered. The results showed that the S-jumps were asymmetric, and the abrupt expansion caused an increase of the jump length and energy loss, while the sequent depth was decreased. By using the negative step, the hydraulic jump was changed to a symmetric shape; also, the hydraulic jump length was significantly reduced when compared to the sudden expansion channel without it; the sequent depth was increased, while the energy loss was decreased. In order to estimate the hydraulic jump characteristics, empirical relations associated with the expansion ratio of basin walls, the relative height of negative steps, and inflow Froude number were proposed based on the experimental data.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

References

  • Abbaspour A, Dalir AH, Farsadizadeh D, Sadraddini AA (2009) Effect of sinusoidal corrugated bed on hydraulic jump characteristics. J Hydro-Environ Res 3:109–117

    Article  Google Scholar 

  • Alhamid AA (2004) S-jump characteristics on slo** basins. J Hydraul Res 42:657–662

    Article  Google Scholar 

  • Barenblatt GI (1987) Dimensional analysis. Gordon and Breach, Philadelphia

    Google Scholar 

  • Belanger JB (1828) Essai sur la solution numerique de quelques problemes relatifs au mouvement permanent des eaux courantes; par m. J.-B. Belanger. chez Carilian-Goeury, libraire, des corps royaux des ponts et chaussees et

  • Bremen R, Hager WH (1993) T-jump in abruptly expanding channel. J Hydraul Res 31:61–78

    Article  Google Scholar 

  • Carollo FG, Ferro V, Pampalone V (2009) New solution of classical hydraulic jump. J Hydraul Eng 135(6):527–531

    Article  Google Scholar 

  • Chanson H, Toombes L (1998) Supercritical flow at an abrupt drop: flow patterns and aeration. Can J Civ Eng 25:956–966

    Article  Google Scholar 

  • Daneshfaraz R, MajediAsl M, Mirzaee R, Ghaderi A (2020) The S-jump’s characteristics in the rough sudden expanding stilling basin. AUT J Civil Eng 4:349–356

    Google Scholar 

  • Hager WH (1985) Hydraulic jump in non-prismatic rectangular channels. J Hydraul Res 23:21–35

    Article  Google Scholar 

  • Hager WH (2013) Energy dissipators and hydraulic jump. Springer Science and Business Media, Cham

    Google Scholar 

  • Hager WH, Bremen R (1989) Classical hydraulic jump: sequent depths. J Hydraul Res 27:565–585

    Article  Google Scholar 

  • Hager WH, Bretz NV (1986) Hydraulic jumps at positive and negative steps. J Hydraul Res 24(4):237–253

    Article  Google Scholar 

  • Hassanpour N, Hosseinzadeh Dalir A, Farsadizadeh D, Gualtieri C (2017) An experimental study of hydraulic jump in a gradually expanding rectangular stilling basin with roughened bed. Water 9:945

    Article  Google Scholar 

  • Herbrand K (1973) The spatial hydraulic jump. J Hydraul Res 11:205–218

    Article  Google Scholar 

  • Kawagoshi N, Hager WH (1990) Wave type flow at abrupt drops: I. Flow Geom J Hydraul Res 28:235–252

    Article  Google Scholar 

  • Leutheusser HJ, Kartha VC (1972) Effects of inflow condition on hydraulic jump. J Hydraul Div 98(8):1367–1385

    Article  Google Scholar 

  • McCorquodale JA, Khalifa A (1983) Internal flow in hydraulic jumps. J Hydraul Eng 109:684–701

    Article  Google Scholar 

  • Mnassri S, Triki A (2022) (2020) Numerical investigation towards the improvement of hydraulic-jump prediction in rectangular open-channels. ISH J Hydraul Eng 28(2):135–142

    Article  Google Scholar 

  • Moore WL, Morgan CW (1957) The hydraulic jump at an abrupt drop. J Hydraul Div 83:1441–1449

    Google Scholar 

  • Ohtsu I, Yasuda Y (1991) Transition from supercritical to subcritical flow at an abrupt drop. J Hydraul Res 29:309–328

    Article  Google Scholar 

  • Ohtsu I, Yasuda Y, Ishikawa M (1999) Submerged hydraulic jumps below abrupt expansions. J Hydraul Eng 125(5):492–499

    Article  Google Scholar 

  • Pagliara S, Palermo M, Carnacina I (2009) Scour and hydraulic jump downstream of block ramps in expanding stilling basins. J Hydraul Res 47:503–511

    Article  Google Scholar 

  • Palermo M, Pagliara S (2017) D-jump in rough slo** channels at low Froude numbers. J Hydro-Environ Res 14:150–156

    Article  Google Scholar 

  • Peterka AJ (1978) Hydraulic design of stilling basins and energy dissipators (No. 25). Department of the Interior, Bureau of Reclamation, Denver

    Google Scholar 

  • Pourabdollah N, Heidarpour M, Abedi Koupai J, Mohamadzadeh-Habili J (2022) Hydraulic jump control using stilling basin with adverse slope and positive step. ISH J Hydraul Eng 28(1):10–17

    Article  Google Scholar 

  • Rajaratnam N (1965) The hydraulic jump as a well jet. J Hydraul Div 91:107–132

    Article  Google Scholar 

  • Rajaratnam N, Hurtig KI (2000) Screen-type energy dissipator for hydraulic structures. J Hydraul Eng 126(4):310–312

    Article  Google Scholar 

  • Rajaratnam N, Subramanya K (1968) Hydraulic jumps below abrupt symmetrical expansions. J Hydraul Div 94(2):481–504

    Article  Google Scholar 

  • Rajaratnam N (1967) Hydraulic jumpsRajaratnam N (1967) Hydraulic jumps. In: Advances in hydroscience (Vol 4, pp. 197–280). Elsevier. In: Advances in hydroscience. Elsevier, Vol 4, pp 197–280

  • Tokyay ND (2005) Effect of channel bed corrugations on hydraulic jumps. In: Impacts of Global Climate Change pp 1–9

  • Torkamanzad N, Hosseinzadeh Dalir A, Salmasi F, Abbaspour A (2019) Hydraulic jump below abrupt asymmetric expanding stilling basin on rough bed. Water 11:1756

    Article  Google Scholar 

  • USBR (1955) Research studies on stilling basins, energy dissipators and associated appurtenances. Hydraul Lab Rep

  • Wu S, Rajaratnam N (1995) Free jumps, submerged jumps and wall jets. J Hydraul Res 33:197–212

    Article  Google Scholar 

  • Zare HK, Doering JC (2011) Forced hydraulic jumps below abrupt expansions. J Hydraul Eng 137:825–835

    Article  Google Scholar 

Download references

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The authors received no financial support for the research, authorship, and publication of this article.

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The authors confirm contribution to the paper as follows: AEH, MH, and ZG wrote the main manuscript text and AEH prepared Figs. 1, 2, 3, 4, 5, 6, 7, and 8. All authors reviewed the manuscript.

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Correspondence to Manouchehr Heidarpour.

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Hamidinejad, A.E., Heidarpour, M. & Ghadampour, Z. Hydraulic Jump Control Using Stilling Basin with Abruptly Expanding and Negative Step. Iran J Sci Technol Trans Civ Eng 47, 3885–3894 (2023). https://doi.org/10.1007/s40996-023-01143-5

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