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Dergiler / Türk Hidrolik Dergisi / 2022 / Cilt: 6 Sayı: 2

Theoretical and Numerical Analysis of Applicability‏ of Elliptical Cross-Section on Energy Dissipation of Hydraulic Jump

Rasoul Daneshfaraz(University of Maragheh)0000-0003-1012-8342
Hamidreza Abbaszadeh(University of Maragheh)0000-0001-7714-6081
Ehsan Aminvash(University of Maragheh)0000-0001-8901-2232
Sayfa
22–35
Yayın Tarihi
2022-12-28
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this study, based on dimensional analysis, non-linear polynomial regression equations were presented to predict the relative energy dissipation.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present study, the effect of elliptical-shaped contraction has been investigated to reduce flow energy using FLOW-3D software.
📊
Temel Bulgular & Veri:The values of contraction are 10 and 15 cm.
💡
Sonuç & Katkı:In this study, based on dimensional analysis, non-linear polynomial regression equations were presented to predict the relative energy dissipation.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Elliptical-shaped contraction · Energy dissipation · Free hydraulic jump

Özet

In the present study, the effect of elliptical-shaped contraction has been investigated to reduce flow energy using FLOW-3D software. The values of contraction are 10 and 15 cm. The results showed that the statistical indexes in the RNG turbulence model such as percentage Relative Error, Absolute Error, Root Mean Square Error and Kling Gupta Efficiency yield acceptable accuracy results compared to the k-ε, k-ω, and LES turbulence models. In this study, the amplitude of the Froude number after the gate as the most effective dimensionless parameter in energy dissipation varied from 2.8 to 7.5. The results showed that in 10 cm elliptical-shaped contractions, the ratio of energy dissipation to the upstream and downstream specific energy was 24.62% and 29.84%, more than the classical hydraulic free jump, respectively. For the contractions of 15 cm, these values were 46.14% and 48.42%, respectively. In addition, by examining the obtained results, it was observed that the elliptical-shaped contractions have a better performance in terms of energy dissipation compared to the sudden contraction, obtained from the previous studies. By increasing the upstream Froude number, the relative energy dissipation increased so that the application of contraction reduces the downstream Froude number of the contracted cross-section in the range of 1.6 to 2.3. In this study, based on dimensional analysis, non-linear polynomial regression equations were presented to predict the relative energy dissipation.

Abstract

In the present study, the effect of elliptical-shaped contraction has been investigated to reduce flow energy using FLOW-3D software. The values of contraction are 10 and 15 cm. The results showed that the statistical indexes in the RNG turbulence model such as percentage Relative Error, Absolute Error, Root Mean Square Error and Kling Gupta Efficiency yield acceptable accuracy results compared to the k-ε, k-ω, and LES turbulence models. In this study, the amplitude of the Froude number after the gate as the most effective dimensionless parameter in energy dissipation varied from 2.8 to 7.5. The results showed that in 10 cm elliptical-shaped contractions, the ratio of energy dissipation to the upstream and downstream specific energy was 24.62% and 29.84%, more than the classical hydraulic free jump, respectively. For the contractions of 15 cm, these values were 46.14% and 48.42%, respectively. In addition, by examining the obtained results, it was observed that the elliptical-shaped contractions have a better performance in terms of energy dissipation compared to the sudden contraction, obtained from the previous studies. By increasing the upstream Froude number, the relative energy dissipation increased so that the application of contraction reduces the downstream Froude number of the contracted cross-section in the range of 1.6 to 2.3. In this study, based on dimensional analysis, non-linear polynomial regression equations were presented to predict the relative energy dissipation.

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Bu Makaleye Atıf Yap

Daneshfaraz, R., Abbaszadeh, H., Aminvash, E. (2022). Theoretical and Numerical Analysis of Applicability‏ of Elliptical Cross-Section on Energy Dissipation of Hydraulic Jump. Türk Hidrolik Dergisi, Cilt: 6 Sayı: 2, 22–35. https://ajindex.com/articles/1560541

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