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

Year 2022, Volume: 6 Issue: 2, 22 - 35, 28.12.2022

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.

References

  • [1] Yarnell, D. L. Bridge piers as channel obstructions. Washington: U.S. Dept. of Agriculture (1934).
  • [2] Chow, V. R. Open-Channel Hydraulics. New York: McGraw-Hill (1959).
  • [3] Henderson, F. M. Open channel flow. New York: Macmillan (1966).
  • [4] Hager, W. H. and Dupraz, P.A. Discharge characteristics of local, discontinuous contractions: Journal of Hydraulic Research, 23(5), 421-433 (1985).
  • [5] Wu, B. and Molinas, A. Chocked Flows through Contractions: Journal of Hydraulic Engineering, 127(8), 657-662 (2001).
  • [6] Dey, S. and Raikar, R.V. Scour in Long Contractions: Journal of Hydraulic Engineering, 131(12), 1036-1049 (2005).
  • [7] Jan, C. D. and Chang, C. J. Hydraulic Jumps in an Inclined Rectangular Chute Contraction: Journal of Hydraulic Engineering, 135(11), 949-958 (2009).
  • [8] Das, R. Pal, D. Das, S. and Mazumdar A. Study of Energy Dissipation on Inclined Rectangular Contracted Chute: Arab J Sci Eng 39(10), 6995–7002 (2014).
  • [9] Sadeghfam, S. Akhtari, A.A. Daneshfaraz, R. and Tayfur, G. Experimental investigation of screens as energy dissipaters in submerged hydraulic jump: Turkish Journal of Engineering and Environmental Sciences, 38(2), 126-138 (2015).
  • [10] Babaali, H. Shamsai, A. and Vosoughifar, H. Computational Modeling of the Hydraulic Jump in the Stilling Basin with Convergence Walls Using CFD Codes: Arab J Sci Eng 40(2), 381–395 (2015).
  • [11] Ghaderi A, Dasineh M, Aristodemo F, Ghahramanzadeh A. Characteristics of free and submerged hydraulic jumps over different macroroughnesses. Journal of Hydroinformatics, 22 (6): 1554–1572 (2020).
  • [12] Ghaderi A, Dasineh M, Aristodemo F, Aricò C. Numerical Simulations of the Flow Field of a Submerged Hydraulic Jump over Triangular Macroroughnesses. Water, 13(5): 674 (2021).
  • [13] Belaud, G. Cassan, L. and Baume, JP. Calculation of Contraction Coefficient under Sluice Gates and Application to Discharge Measurement: Journal of Hydraulic Engineering, 135(12), 1086-109 (2009).
  • [14] Nasrabadi, M., Mehri, Y., Ghassemi, A. and Omid, M.H. Predicting Submerged Hydraulic Jump Characteristics Using Machine Learning Methods. Water Supply. 21(8), 4180–4194 (2021).
  • [15] Flow Science Inc. 2016 FLOW-3D V 11.2 User’s Manual, Santa Fe, NM, USA; (2016).
  • [16] 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, 7(7), 244. https://doi.org/10.3390/fluids7070244 (2022).
  • [17] Daneshfaraz, R., Abbaszadeh, H., Gorbanvatan, P., & Abdi, M. Application of Sluice Gate in Different Positions and Its Effect on Hydraulic Parameters in Free-Flow Conditions. Journal of Hydraulic Structures, 7(3), 72-87. (2021).
  • [18] Daneshfaeaz, R. Rezazadeh-Joudi, A. and Sadeghfam, S. Experimental Investigation of Energy Dissipation in the Sudden Chocked Flow with free Surfaces: Journal of Civil and Environmental Engineering, 48(2), 101-108 (2018).

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

Year 2022, Volume: 6 Issue: 2, 22 - 35, 28.12.2022

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.

References

  • [1] Yarnell, D. L. Bridge piers as channel obstructions. Washington: U.S. Dept. of Agriculture (1934).
  • [2] Chow, V. R. Open-Channel Hydraulics. New York: McGraw-Hill (1959).
  • [3] Henderson, F. M. Open channel flow. New York: Macmillan (1966).
  • [4] Hager, W. H. and Dupraz, P.A. Discharge characteristics of local, discontinuous contractions: Journal of Hydraulic Research, 23(5), 421-433 (1985).
  • [5] Wu, B. and Molinas, A. Chocked Flows through Contractions: Journal of Hydraulic Engineering, 127(8), 657-662 (2001).
  • [6] Dey, S. and Raikar, R.V. Scour in Long Contractions: Journal of Hydraulic Engineering, 131(12), 1036-1049 (2005).
  • [7] Jan, C. D. and Chang, C. J. Hydraulic Jumps in an Inclined Rectangular Chute Contraction: Journal of Hydraulic Engineering, 135(11), 949-958 (2009).
  • [8] Das, R. Pal, D. Das, S. and Mazumdar A. Study of Energy Dissipation on Inclined Rectangular Contracted Chute: Arab J Sci Eng 39(10), 6995–7002 (2014).
  • [9] Sadeghfam, S. Akhtari, A.A. Daneshfaraz, R. and Tayfur, G. Experimental investigation of screens as energy dissipaters in submerged hydraulic jump: Turkish Journal of Engineering and Environmental Sciences, 38(2), 126-138 (2015).
  • [10] Babaali, H. Shamsai, A. and Vosoughifar, H. Computational Modeling of the Hydraulic Jump in the Stilling Basin with Convergence Walls Using CFD Codes: Arab J Sci Eng 40(2), 381–395 (2015).
  • [11] Ghaderi A, Dasineh M, Aristodemo F, Ghahramanzadeh A. Characteristics of free and submerged hydraulic jumps over different macroroughnesses. Journal of Hydroinformatics, 22 (6): 1554–1572 (2020).
  • [12] Ghaderi A, Dasineh M, Aristodemo F, Aricò C. Numerical Simulations of the Flow Field of a Submerged Hydraulic Jump over Triangular Macroroughnesses. Water, 13(5): 674 (2021).
  • [13] Belaud, G. Cassan, L. and Baume, JP. Calculation of Contraction Coefficient under Sluice Gates and Application to Discharge Measurement: Journal of Hydraulic Engineering, 135(12), 1086-109 (2009).
  • [14] Nasrabadi, M., Mehri, Y., Ghassemi, A. and Omid, M.H. Predicting Submerged Hydraulic Jump Characteristics Using Machine Learning Methods. Water Supply. 21(8), 4180–4194 (2021).
  • [15] Flow Science Inc. 2016 FLOW-3D V 11.2 User’s Manual, Santa Fe, NM, USA; (2016).
  • [16] 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, 7(7), 244. https://doi.org/10.3390/fluids7070244 (2022).
  • [17] Daneshfaraz, R., Abbaszadeh, H., Gorbanvatan, P., & Abdi, M. Application of Sluice Gate in Different Positions and Its Effect on Hydraulic Parameters in Free-Flow Conditions. Journal of Hydraulic Structures, 7(3), 72-87. (2021).
  • [18] Daneshfaeaz, R. Rezazadeh-Joudi, A. and Sadeghfam, S. Experimental Investigation of Energy Dissipation in the Sudden Chocked Flow with free Surfaces: Journal of Civil and Environmental Engineering, 48(2), 101-108 (2018).
There are 18 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Rasoul Daneshfaraz 0000-0003-1012-8342

Hamidreza Abbaszadeh 0000-0001-7714-6081

Ehsan Aminvash 0000-0001-8901-2232

Publication Date December 28, 2022
Submission Date September 26, 2022
Acceptance Date December 13, 2022
Published in Issue Year 2022 Volume: 6 Issue: 2

Cite

APA 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, 6(2), 22-35.
  • "Türk Hidrolik Dergisi"nin Tarandığı INDEX'ler 
  • (Indexes : Turkish Journal of Hydraulic)       

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