# Experimental Study of Geometric Shape and Size of Sill Effects on the Hydraulic Performance of Sluice Gates

^{1}

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## Abstract

**:**

## 1. Introduction

## 2. Materials and Methods

#### Experimental Set-Up

_{1}(C

_{d}, ρ, Q, g, μ, H, G, Z, b, B) = 0

_{1}(Q, B, b, Z, G, E

_{A}, E

_{B}, Y

_{A}, Y

_{B}, g, ρ, μ) = 0

_{A}and Y

_{B}are the water depths in sections A and B, and E

_{A}and E

_{B}are the specific energies in sections A and B, respectively. Equation (4) can be rewritten as:

_{A}and Re

_{A}represent the dimensionless Froude and Reynolds numbers, respectively. Finally, to provide a more compact relationship, Equation (5) is modified by forming ratios as follows:

## 3. Results

#### 3.1. Effect of Sill Geometry and Width on Discharge Coefficient

#### 3.1.1. Hydraulic Jump Characteristic with Sill

#### 3.1.2. Non-Sill Mode

#### 3.1.3. The Effect of Sill Width on Hydraulic Jump Performance

#### 3.1.4. The Effect of Sill Width on the Performance of Hydraulic Jump Relative Depths

#### 3.1.5. Effect of Sill Geometry on Hydraulic Jump Performance

#### 3.1.6. The Effect of Sill Geometry on the Performance of Hydraulic Jump Relative Depths

## 4. Discussion

_{e}and W

_{e}are dependent on each other and vary with the opening of the gate, so one of the two must be eliminated; therefore, the effect of the Weber number was ignored. In order to check the effect of scale in the walls as well as possible, the experiments should be repeated for different widths of the flume and the results should be compared with the prototype. This research was conducted in a constant flume width in the laboratory and there was no prototype for this research. Therefore, the effect of scale has not been investigated, so the results can be correct for the flow conditions in this research [29,30,31,32,33].

## 5. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## References

- Seyed Hoshiyar, S.M.; Pirmoradian, N.; Ashrafzadeh, A.; Parvaresh Rizi, A. Performance Assessment of a Water Deliery Canal to Improve Agricultural Water Distribution. Water Resour. Manag.
**2021**, 35, 2487–2501. [Google Scholar] [CrossRef] - Daneshfaraz, R.; Norouzi, R.; Abbaszadeh, H.; Kuriqi, A.; Di Francesco, S. Influence of Sill on the Hydraulic Regime in Sluice Gates: An Experimental and Numerical Analysis. Fluids
**2022**, 7, 244. [Google Scholar] [CrossRef] - Henry, H. Discussion of Diffusion of Submerged Jets, by Albertson, ML, Dai, YB. Trans. Am. Soc. Civ. Eng.
**1950**, 115, 687–694. [Google Scholar] - Rajaratnam, N.; Subramanya, K. Flow Equation for the Sluice Gate. J. Irrig. Drain. Div.
**1967**, 93, 167–186. [Google Scholar] [CrossRef] - Swamee, P.K. Sluice-gate discharge equations. J. Irrig. Drain. Eng.
**1992**, 118, 56–60. [Google Scholar] [CrossRef] - Ferro, V. Simultaneous Flow over and under a gate. Irrig. Drain. Eng.
**2000**, 126, 190–193. [Google Scholar] - Reda, A.E.R. Modeling of flow characteristics beneath vertical and inclined sluice gates using artificial neural networks. Ain Shams Eng. J.
**2016**, 7, 917–924. [Google Scholar] - Salmasi, F.; Abraham, J. Prediction of discharge coefficients for sluice gates equipped with different geometric sills under the gate using multiple non-linear regression (MNLR). J. Hydrol.
**2020**, 597, 125728. [Google Scholar] [CrossRef] - Pástor, M.; Bocko, J.; Lengvarský, P.; Sivák, P.; Šarga, P. Experimental and Numerical Analysis of 60-Year-Old Sluice Gate Affected by Long-Term Operation. Materials
**2020**, 13, 5201. [Google Scholar] [CrossRef] - Shivapur, A.V.; Prakash, M.N.S. Inclined sluice gate for flow measurement. ISH J. Hydraul. Eng.
**2005**, 11, 46–56. [Google Scholar] [CrossRef] - Rajaratnam, N. Hydraulic jumps. In Advances in Hydroscience; Elsevier: Amsterdam, The Netherlands, 1967; Volume 4, pp. 197–280. [Google Scholar]
- Rajaratnam, N. Hydraulic jump on rough bed. Trans. Eng. Inst. Can.
**1968**, 11, 1–8. [Google Scholar] - Ali, H.S.M. Effect of Roughened-Bed Stilling Basin on Length of Rectangular Hydraulic Jump. J. Hydraul. Eng.
**1991**, 117, 83–93. [Google Scholar] [CrossRef] - Alhamid, A.A. Effective roughness on horizontal rectangular stilling basins. Trans. Ecol. Environ.
**1994**, 8, 8. [Google Scholar] - Ead, S.A.; Rajaratnam, N. Hydraulic jumps on corrugated beds. J. Hydraul. Eng.
**2002**, 128, 656–663. [Google Scholar] [CrossRef] - Tokyay, N.D. Effect of Channel Bed Corrugations on Hydraulic Jumps. In Impacts of Global Climate Change; ASCE: Reston, VA, USA, 2005; pp. 1–9. [Google Scholar] [CrossRef]
- Izadjoo, F.; Shafai-Bejestan, M. Corrugated bed hydraulic jump stilling basin. J. Appl. Sci.
**2007**, 7, 1164–1169. [Google Scholar] [CrossRef] - Abbaspour, A.; Dalir, A.H.; Farsadizadeh, D.; Sadraddini, A.A. Effect of sinusoidal corrugated bed on hydraulic jump characteristics. J. Hydro-Environ. Res.
**2009**, 3, 109–117. [Google Scholar] [CrossRef] - Ellayn, A.F.; Sun, Z.-L. Hydraulic jump basins with wedge-shaped baffles. J. Zhejiang Univ. A
**2012**, 13, 519–525. [Google Scholar] [CrossRef] - Samadi-Boroujeni, H.; Ghazali, M.; Gorbani, B.; Nafchi, R.F. Effect of triangular corrugated beds on the hydraulic jump characteristics. Can. J. Civ. Eng.
**2013**, 40, 841–847. [Google Scholar] [CrossRef] - Parsamehr, P.; Farsadizadeh, D.; Dalir, A.H.; Abbaspour, A.; Esfahani, M.J.N. Characteristics of hydraulic jump on rough bed with adverse slope. ISH J. Hydraul. Eng.
**2017**, 23, 301–307. [Google Scholar] [CrossRef] - Nasr Esfahani, M.J.; Shafai Bejestan, M. Design of stilling sasins using artificial roughness. J. Civ. Eng.
**2012**, 2, 159–163. [Google Scholar] - Parsamehr, P.; Hosseinzadeh Dalir, A.; Farsadi, D.; Abbaspour, A. Hydraulic jump on the bed with semi-cylindrical roughness. J. Water Soil
**2012**, 26, 775–785. [Google Scholar] [CrossRef] - Neisi, K.; Shafai, B.M. Characteristics of S-jump on Roughened Bed Stilling Basin. J. Water Sci. Res.
**2013**, 5, 25–34. [Google Scholar] - Jalil, S.A.; Sarhan, S.A.; Yaseen, M.S. Hydraulic Jump Properties Downstream a Sluice Gate with Prismatic Sill. Res. J. Appl. Sci. Eng. Technol.
**2015**, 11, 447–453. [Google Scholar] [CrossRef] - Daneshfaraz, R.; Norouzi, R.; Ebadzadeh, P. Experimental and numerical study of sluice gate flow pattern with non- suppressed sill and its effect on discharge coefficient in free-flow conditions. J. Hydr. Struct.
**2022**, 8, 1–20. [Google Scholar] [CrossRef] - Daneshfaraz, R.; Hasannia, V.; Norouzi, R.; Sihag, P.; Sadeghfam, S. Investigating the Effect of Horizontal Screen on Hydraulic Parameters of Vertical Drop. Iran. J. Sci. Technol. Trans. Civ. Eng.
**2021**, 45, 1909–1917. [Google Scholar] [CrossRef] - Daneshfaraz, R.; Noruzi, R.; Ebadzadeh, P. Experimental Investigation of non-suppressed sill effect with different geometry on flow pattern and discharge coefficient of sluice. J. Hydr.
**2022**, 17, 47–63. [Google Scholar] [CrossRef] - Daneshfaraz, R.; Norouzi, R.; Ebadzadeh, P. Evaluation Effect of changing the sill geometries and positions on discharge coefficient of vertical sluice gate. J. Civ. Environ. Eng.
**2022**, 10, 46–68. [Google Scholar] [CrossRef] - Lauria, A.; Calomino, F.; Alfonsi, G.; D’Ippolito, A. Discharge coefficients for sluice gates set in weirs at different upstream wall inclinations. Water
**2020**, 12, 245. [Google Scholar] [CrossRef] - Madadi, M.R.; Hosseinzadeh, D.A.; Farsadizadeh, D. Investigation of flow characteristics above trapezoidal broad-crested weirs. Flow Meas. Instrument.
**2014**, 38, 139–148. [Google Scholar] [CrossRef] - Nasrabadi, M.; Mehri, Y.; Ghassemi, A.; Omid, M.H. Predicting submerged hydraulic jump characteristics using machine learning methods. Water Supply
**2021**, 21, 4180–4194. [Google Scholar] [CrossRef] - Raju, R. Scale effects in analysis of discharge characteristics of weir and sluice gates. In Scale Effects in Modeling Hydraulic Structures; Kobus, H., Ed.; Springer: Esslingen am Neckar, Germany, 1984. [Google Scholar]

**Figure 6.**Laboratory images of hydraulic jump formation with rectangular cubic sills of different widths.

**Figure 7.**Relative energy loss for the (

**a–d**) upstream and (

**e–h**) downstream sections of the jump with sill.

**Figure 10.**Energy loss values for the (

**a–d**) upstream and (

**e–h**) downstream sections of the jump with sill.

Sill Geometry | Height (m) | Length (m) | Width (m) |
---|---|---|---|

Rectangular cubic | 0.03 | 0.03 | 0.075–0.20 |

Pyramidal | 0.03 | 0.03 | 0.075–0.20 |

Cylindrical | Cylindrical diameter = 0.03 | ||

Semi-cylindrical | Semi-cylindrical diameter = 0.03 |

Rectangular Cubic | Pyramidal | Cylindrical | Semi-Cylindrical | Sill Width (m) |
---|---|---|---|---|

3.9 | 5.7 | 7.4 | 7.4 | b = 0.075 |

12.1 | 14.7 | 17.2 | 19.1 | b = 0.20 |

**Table 3.**Percentage increase in energy consumption of the sluice gate with a sill in sections A and B compared to non-sill state.

Rectangular Cubic | Cylindrical | Semi-Cylindrical | Pyramidal | Sill Width (m) | ||||
---|---|---|---|---|---|---|---|---|

ΔE/EB | ΔE/EA | ΔE/EB | ΔE/EA | ΔE/EB | ΔE/EA | ΔE/EB | ΔE/EA | Sill withs |

33 | 21.2 | 35.4 | 22.3 | 59 | 34.9 | 68 | 39.4 | b = 0.075 m |

260 | 115.3 | 260.2 | 116 | 268 | 118.9 | 295.9 | 125.4 | b = 0.20 m |

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**MDPI and ACS Style**

Daneshfaraz, R.; Norouzi, R.; Ebadzadeh, P.; Di Francesco, S.; Abraham, J.P. Experimental Study of Geometric Shape and Size of Sill Effects on the Hydraulic Performance of Sluice Gates. *Water* **2023**, *15*, 314.
https://doi.org/10.3390/w15020314

**AMA Style**

Daneshfaraz R, Norouzi R, Ebadzadeh P, Di Francesco S, Abraham JP. Experimental Study of Geometric Shape and Size of Sill Effects on the Hydraulic Performance of Sluice Gates. *Water*. 2023; 15(2):314.
https://doi.org/10.3390/w15020314

**Chicago/Turabian Style**

Daneshfaraz, Rasoul, Reza Norouzi, Parisa Ebadzadeh, Silvia Di Francesco, and John Patrick Abraham. 2023. "Experimental Study of Geometric Shape and Size of Sill Effects on the Hydraulic Performance of Sluice Gates" *Water* 15, no. 2: 314.
https://doi.org/10.3390/w15020314