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Modeling of Perforated Sill-Controlled Hydraulic Jump

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Abstract

Stilling basins and hydraulic jumps are designers’ favorable choice for energy dissipation downstream of spillways and outlets. A properly designed stilling basin can ensure considerable energy dissipation in the short distance of a basin. In this study, experiments have been conducted to evaluate effects of a perforated sill and its position on the length of a favorable B-type hydraulic jump in a stilling basin. Perforated sills with different heights and ratio of openings were placed in different positions of the stilling basin. Tests were carried out for three tail water depths to assess the sensitivity of the jump to tail water. The hydraulic characteristics of the jump were measured and compared with continuous sill-controlled and free hydraulic jumps. Results of the experiments confirmed significant effect of the perforated sill on dissipation of energy and development of the jump in a shorter distance. Results are also presented in the form of mathematical models for estimation of the sill height, sill position, and basin length with the inflow measurable parameters of depth and velocity.

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Abbreviations

A :

Total projected area of sill (m2)

A 0 :

Total area of perforation (m2)

B :

Width of channel (m)

E 1 :

Special energy of supercritical flow (m)

E 2 :

Special energy of subcritical flow (m)

\(\Delta E/{E_1}\) :

Relative energy loss of hydraulic jump (−)

F 1 :

Approaching Froude number (−)

g :

Acceleration due to gravity (m s−2)

h :

height of perforated sill (m)

L B :

Length of stilling basin (m)

L j :

Length of free hydraulic jump (m)

L S :

Distance between the inlet of the stilling basin and the upstream face of the sill (m)

s :

Channel slope (−)

T w :

Tail water depth (m)

v 1 :

Average velocity of supercritical flow (m s−1)

v 2 :

Average velocity of subcritical flow (m s−1)

y 1 :

Depth of supercritical flow (m)

y 2 :

Sequent depth of forced hydraulic jump (m)

\(y_2^*\) :

Sequent depth of free hydraulic jump (m)

Y :

Forced jump sequent depth ratio (−)

Y * :

Free jump sequent depth ratio (−)

Y s :

Difference in ratio of depths for sill-controlled and free jump (−)

\(\alpha ,\, \beta\) :

The coefficients depend on the type of hydraulic jump (−)

μ :

Water viscosity (kg m−2 s)

ρ :

Water density (kg m−3)

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Acknowledgements

The authors acknowledge the Shahid Chamran University of Ahwaz and the Centre of Excellence on Operation Management of Irrigation and Drainage Networks for facilitation of the experiments.

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Authors and Affiliations

  1. School of Water Science and Engineering, Shahid Chamran University, Ahvaz, Iran

    Manoochehr Fathi-Moghadam, Sajad Kiani, Puria Asiaban & Reza Behrozi-Rad

Authors
  1. Manoochehr Fathi-Moghadam
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  2. Sajad Kiani
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  3. Puria Asiaban
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  4. Reza Behrozi-Rad
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Correspondence to Manoochehr Fathi-Moghadam.

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Fathi-Moghadam, M., Kiani, S., Asiaban, P. et al. Modeling of Perforated Sill-Controlled Hydraulic Jump. Int J Civ Eng 15, 689–695 (2017). https://doi.org/10.1007/s40999-017-0185-8

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  • DOI: https://doi.org/10.1007/s40999-017-0185-8

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