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An Experimental and Analytical Study of a Hydraulic Jump Over a Rough Bed with an Adverse Slope and a Positive Step

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Abstract

In this research, hydraulic jump characteristics were experimentally and analytically investigated on different adverse slopes, bed roughness, and positive step heights. The number of experiments was 576, which were carried out in Froude numbers ranging from 4 to 10. The results showed that the decrease in the sequent depth ratio and the increase in the relative energy loss were 33 and 27.41% more than those in the classic jump, respectively. Two new analytical solutions were developed using the momentum equation associated with other basic fluid mechanic equations for estimating the sequent depth ratio. Also, another new analytical solution was presented to estimate the relative energy loss as a function of the experiment conditions. The results also demonstrated that the maximum errors of the two analytical methods of estimating the sequent depth ratio were ± 15 and ± 20%, respectively. Further, the maximum error of estimating the relative energy loss was ± 11%. Given sufficient accuracy, using these analytical equations could be recommended for estimating the sequent depth ratio and the relative energy loss in order to prevent time and save costs.

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References

  • Abasspour A, Hosseinzadeh D (2009) Effect of sinusoidal corrugated bed on hydraulic jump characteristics. J Appl Sci 9(11):2045–2055

    Article  Google Scholar 

  • Abdel-Mageed NB (2015) Effect of channel slope on hydraulic jump characteristics. Phys Sci Int J 7(4):223–233

    Article  Google Scholar 

  • Ahmed HMA, El Gendy M, Mirdan AMH, Ali AAM, Abdel Haleem FSS (2014) Effect of corrugated beds on characteristics of submerged hydraulic jump. Ain Shams Eng J 5:1033–1042

    Article  Google Scholar 

  • Belanger JB (1828) Essay on numerical solution of some problems relative to steady flow of water. Carilan-Goeury, Paris

    Google Scholar 

  • Berami MK, Chamani R (2006) Hydraulic jump in sloping channel: sequent depth ratio. J Hydraul Eng 132:1061–1068. https://doi.org/10.1061/(asce)0733-9429(2006)132:10(1061)

    Article  Google Scholar 

  • Carollo FG, Ferro V (2004) Determinazione delle altezze coniugate del risalto libero su fondo liscio e scabro. Rivista di Ing Agrar 35(4):1–11 (in Italian)

    Google Scholar 

  • Carollo FG, Ferro V, Pampalone V (2007) Hydraulic jump on rough beds. J Hydraul Eng 133:989–999

    Article  Google Scholar 

  • Carollo FG, Ferro V, Pampalone V (2009) New solution of classical hydraulic jump. J Hydraul Eng 1:1–9. https://doi.org/10.1061/(asce)hy.1943-7900.0000036

    Article  Google Scholar 

  • Chow VT (1959) Open channel hydraulics. McGraw- Hill Book Company Inc, New York

    Google Scholar 

  • Chow VT (1964) Handbook of applied hydrology. McGraw-Hill Book Company Inc, New York

    Google Scholar 

  • Ead SA, Rajaratnam N (2000) Turbulent open channel flow in circular corrugated culverts. J Hydraul Eng 126(10):750–757

    Article  Google Scholar 

  • Ead SA, Rajaratnam N (2002) Hydraulic jumps on corrugated bed. J Hydraul Eng 128(2):656–663

    Article  Google Scholar 

  • Elsebaie IH, Shabayek Sh (2010) Formation of hydraulic jumps on corrugated beds. Civ Environ Eng 10(1):40–50

    Google Scholar 

  • Gandhi S, Yadav V (2013) Characteristics of supercritical flow in rectangular channel. Int J Phys Sci 8(40):1934–1943

    Google Scholar 

  • Gunal M, Narayanan R (1998) K-ε turbulence modeling of submerged hydraulic jump using boundary-fitted coordinates. P I Civ Eng Water 130(2):104–114

    Google Scholar 

  • Hager WH, Bretz NV (1986) Hydraulic jumps at positive and negative steps. J Hydraul Res 24(4):237–252

    Article  Google Scholar 

  • Hager WH, Sinniger R (1985) Flow characteristics of the hydraulic jump in a stilling basin with an abrupt bottom rise. J Hydraul Res 23(2):101–113

    Article  Google Scholar 

  • Hughes WC, Flake JE (1983) Hydraulic jump properties over a rough bed. J Hydraul Eng 110(12):1755–1771

    Article  Google Scholar 

  • Khaddar MHA, Rajagopal S (1972) Hydraulic jump in adverse channel slopes. Irrig Power 29:77–82

    Google Scholar 

  • Kumar M, Lodhi AS (2015) Hydraulic jump over sloping rough floors. ISH J Hydraul Eng 22(2):127–134

    Article  Google Scholar 

  • Mccorquodale JA, Mohamed MS (1994) Hydraulic jump on adverse slope. J Hydraul Res 32(1):119–130

    Article  Google Scholar 

  • Mohamed A (1991) Effect of roughened-bed stilling basin on length of rectangular hydraulic jump. J Hydraul Eng 117(1):83–93

    Article  MathSciNet  Google Scholar 

  • Okada A, Aki S (1955) Experimental study of hydraulic jump on reversed slope apron. J Cent Res Inst Electric Power Ind Tech Lab 5(6):161–174

    Google Scholar 

  • Pagliara S, Lotti I (2008) Hydraulic jump on rough bed of stream rehabilitation structures. J Hydro-Environ Res 2:29–38

    Article  Google Scholar 

  • Pagliara S, Palermo M (2015) Hydraulic jumps on rough and smooth beds: aggregate approach for horizontal and adverse-sloped beds. J Hydraul Res 53(2):243–252

    Article  Google Scholar 

  • Pagliara S, Peruginelli A (2000) Limiting and sill-controlled adverse-slope hydraulic jump. J Hydraul Eng 126(11):847–851

    Article  Google Scholar 

  • Parsamehr P, Farsadizadeh D, Hosseinzadeh Dalir A, Abbaspour A, Nasr Esfahani MJ (2017) Characteristics of hydraulic jump on rough bed with adverse slope. Hydraul Eng, ISH J. https://doi.org/10.1080/09715010.2017.1313143

    Book  Google Scholar 

  • Quraishi A, Al-Brahim AM (1992) Hydraulic jump in sloping channel with positive or negative step. J Hydraul Res 30(6):769–782

    Article  Google Scholar 

  • Rajaratnam N (1967) Hydraulic jumps. Department of Civil Engineering University of Alberta, Edmonton

    Book  Google Scholar 

  • Samadi-Boroujeni H, Ghazali M, Ghorbani B, Fatahi R (2013) Effect of triangular corrugated beds on the hydraulic jump characteristics. Can J Civ Eng 40:841–847

    Article  Google Scholar 

  • Stevens JC (1944) Discussion of the paper by Kindsvater, hydraulic jump on sloping channels. J Hydraul Eng 109:1120–1154

    Google Scholar 

  • Tokyay ND (2005) Effect of channel bed corrugations on hydraulic jumps. EWRI Water and Environmental Resources Congress, Anchorage

    Book  Google Scholar 

  • Velioglu D, Tokyay ND, Dincer AI (2015) A numerical and experimental study on the characteristics of hydraulic jumps on rough beds. In: E-proceedings of the 36th IAHR World Congress. The Hague, The Netherlands, pp 1–9

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Authors and Affiliations

  1. Water Engineering Department, College of Agriculture, Isfahan University of Technology, Isfahan, 84156-83111, Iran

    Nahid Pourabdollah, Manouchehr Heidarpour & Jahangir Abedi Koupai

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  1. Nahid Pourabdollah
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  2. Manouchehr Heidarpour
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  3. Jahangir Abedi Koupai
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Correspondence to Manouchehr Heidarpour.

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Pourabdollah, N., Heidarpour, M. & Abedi Koupai, J. An Experimental and Analytical Study of a Hydraulic Jump Over a Rough Bed with an Adverse Slope and a Positive Step. Iran J Sci Technol Trans Civ Eng 43, 551–561 (2019). https://doi.org/10.1007/s40996-018-00230-2

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  • DOI: https://doi.org/10.1007/s40996-018-00230-2

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