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Experimentally Verified Numerical Investigation of the Sill Hydraulics for Abruptly Expanding Stilling Basin

  • Research Article-Civil Engineering
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Abstract

Energy dissipation structures, particularly stilling basins, are critical for defining the hydraulic jump characteristics that are suitable. Appropriate sill geometry for abruptly expanding stilling basins has been investigated and a central rectangular sill has been proposed in the literature. This study has examined the suggested central sill and alternative flip buckets for abruptly expanding stilling basins. A series of experimental and numerical studies were carried out for two different heights of the central sill and two different flip buckets. Simulations have been evaluated using experimental data of laboratory scale, which indicated that they were acceptably precise. For the simulations, the k−ε turbulence model RNG module was preferred using the volume of fluid methods. The PISO approach was chosen to resolve this equation system numerically. The results showed that the hydraulic jump characteristics are strongly influenced by sill geometry. For the Type-3 sill negative static pressures have not occurred and performs better at energy dissipation than other geometries examined in the study. Higher pressures occurred on the rectangular prism-shaped sills. Maximum static pressure happened on the Type-2 sill. The least static pressure was seen in the Type-4 sill type.

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Abbreviations

θ :

Angle between pieces of the sills in plane view (−)

α :

Expansion ratio (−)

b :

Width in narrow section (L)

B :

Width in wider section (L)

g :

Gravity acceleration (LT−2)

Re :

Reynolds number (−)

Fr:

Froude number (−)

h 1 :

Water depth before hydraulic jump (L)

h 2 :

Water depth after hydraulic jump (L)

h 2 * :

Water depth after classical hydraulic jump (L)

L a :

Apron length in narrow section (L)

L e :

Channel length in wider section (L)

Lr * :

Roller length for classical hydraulic jump (L)

Y :

Sequent depths ratio (−)

Y * :

Sequent depths ratio for classical hydraulic jump (−)

x 1 :

Distance between the toe of the jump and the expansion (L)

S :

Relative sill height (−)

s :

The sill height (L)

U :

Velocity inlet (LT−1)

ρ :

Fluid density (ML−3)

τ ij :

Coefficient of turbulence (Reynolds) stress (−)

k :

Coefficient of turbulence kinetic energy (−)

μ t :

Coefficient of turbulence kinetic viscosity (−)

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Acknowledgements

This research was supported by IUBAP (Inonu University Scientific Projects Unit) under the project number of the FBG-2020-2186.

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Authors and Affiliations

  1. Department of Construction, Darende Bekir Ilıcak Vocational School, Malatya Turgut Ozal University, Malatya, Turkey

    Mahmut Aydogdu

  2. Department of Civil Engineering, Inonu University, Malatya, Turkey

    Enes Gul & Omerul Faruk Dursun

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  1. Mahmut Aydogdu
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  2. Enes Gul
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  3. Omerul Faruk Dursun
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Correspondence to Enes Gul.

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Aydogdu, M., Gul, E. & Dursun, O.F. Experimentally Verified Numerical Investigation of the Sill Hydraulics for Abruptly Expanding Stilling Basin. Arab J Sci Eng 48, 4563–4581 (2023). https://doi.org/10.1007/s13369-022-07089-6

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