Experimental Evaluation of Hydraulic Jump Characteristics in Gradually Expanding Sloping Channel

Gupta, S. K.; Dwivedi, V. K.

doi:10.47176/jafm.18.7.3228

Experimental Evaluation of Hydraulic Jump Characteristics in Gradually Expanding Sloping Channel

Document Type : Regular Article

Authors

Department of Mechanical Engineering, IET, GLA University Mathura, UP, 281406, India

10.47176/jafm.18.7.3228

Abstract

Understanding hydraulic jumps in gradually expanding sloping channels is crucial for designing eco-friendly water management systems that minimize environmental impacts. This study seeks to investigate how the expansion ratio and channel slope together influence the characteristics of hydraulic jumps. The experiments were performed on four different channel slopes (0⁰, 2⁰, 4⁰, and 6⁰) and four distinct expansion ratios (B = b₁/b₂) of 0.35, 0.45, 0.55 and 0.75. The Reynolds number was ranged from 7150 to 27750, while the Froude number varied between 2.5 and 8.5 during the experiments. Novel correlations were developed to predict key hydraulic jump parameters, including depth ratio (d₂/d₁), relative energy loss (E_L/E₁) and relative jump length (L_j/d₁), by considering the effects of expansion ratio, channel slope and Froude number. The results indicate that as the channel slope increased from 0° to 6°, the depth ratio and relative energy loss increased by approximately30.53% and 15.37%, respectively, while the relative jump length decreased by 11.11%. Conversely, as the expansion ratio decreased from 1.0 to 0.35, the depth ratio and relative jump length were reduced by approximately 9.63% and 10.42%, respectively; while the relative energy loss was increased by 24.21%.These findings highlight the significant influence of channel geometry on hydraulic jump characteristics, offering valuable insights for optimizing water conveyance structures. The proposed correlations provide a novel and intuitive approach to analyze hydraulic jumps in expanding sloping channels, addressing gaps in existing literature and contributing to sustainable water resource management.

Keywords

Main Subjects

Interfacial Flows (Free Surface)

References

Abnavi, M. H. J., Mohammadpour, R., & Beirami, M. K. (2023). Laboratory investigation of hydraulic jump in divergent-convergent conversions. Flow Measurement and Instrumentation, 94, 102444. https://doi.org/10.1016/j.flowmeasinst.2023.102444

Azimi, H., Bonakdari, H., Ebtehaj, I., & Michelson, D. G. (2018a). A combined adaptive neuro-fuzzy inference system–firefly algorithm model for predicting the roller length of a hydraulic jump on a rough channel bed. Neural Computing and Applications, 29, 249-258. https://doi.org/10.1007/s00521-016-2560-9.

Azimi, H., Bonakdari, H., Ebtehaj, I., Gharabaghi, B., & Khoshbin, F. (2018b). Evolutionary design of generalized group method of data handling-type neural network for estimating the hydraulic jump roller length. Acta Mechanica, 229, 1197-1214. https://doi.org/10.1007/s00707-017-2043-9.

Baylar, A., Emiroglu, M. E., & Bagatur, T. (2006). An experimental investigation of aeration performance in stepped spillways. Water and Environment Journal, 20(1), 35-42. https://doi.org/10.1111/j.1747-6593.2005.00009.x

Benmalek, A., Hafnaoui, M. A., Madi, M., & Bensaid, M. (2023). Energy dissipation of torrential flows in different basin shapes. Journal Algérien des Régions Arides, 16(1), 92-100. https://asjp.cerist.dz/en/article/229471

Bremen, R., & Hager, W. H. (1993). T-jump in abruptly expanding channel. Journal of Hydraulic research, 31(1), 61-78. https://doi.org/10.1080/00221689309498860.

Carollo, F. G., Ferro, V., & Pampalone, V. (2012). New expression of the hydraulic jump roller length. Journal of Hydraulic Engineering, 138(11), 995-999. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000634

Chanson, H., & Brattberg, T. (2000). Experimental study of the air–water shear flow in a hydraulic jump. International Journal of Multiphase Flow, 26(4), 583-607. https://doi.org/10.1016/S0301-9322(99)00016-6.

Chen, J. Y., Liao, Y. Y., & Liu, S. I. (2013). Energy dissipation of hydraulic jump in gradually expanding channel after free overfall. Journal of the Chinese Institute of Engineers, 36(4), 452-457. https://doi.org/10.1080/02533839.2012.732263.

Daneshfaraz, R., Aminvash, E., Esmaeli, R., Sadeghfam, S., & Abraham, J. (2020a). Experimental and numerical investigation for energy dissipation of supercritical flow in sudden contractions. Journal of Groundwater Science and Engineering, 8(4), 396-406. https://doi.org/10.19637/j.cnki.2305-7068.2020.04.009

Daneshfaraz, R., Aminvash, E., Mirzaee, R., & Abraham, J. (2021a). Predicting the energy dissipation of a rough sudden expansion rectangular stilling basins using the SVM algorithm. Journal of Applied Research in Water and Wastewater, 8(2), 98-106. https://doi.org/10.22126/arww.2021.5886.1195

Daneshfaraz, R., Majedi Asl, M., & Mirzaeereza, R. (2019). Experimental study of expanding effect and sand-roughened bed on hydraulic jump characteristics. Iranian Journal of Soil and Water Research, 50(4), 885-896. https://doi.org/10.22059/IJSWR.2018.261923.667968

Daneshfaraz, R., MajediAsl, M., Mirzaee, R., & Ghaderi, A. (2020b). The S-jump’s characteristics in the rough sudden expanding stilling basin. AUT Journal of Civil Engineering, 4(3), 349-356. https://doi.org/10.22060/ajce.2019.16427.5586.

Daneshfaraz, R., MajediAsl, M., Mirzaee, R., & Tayfur, G. (2021b). Hydraulic jump in a rough sudden symmetric expansion channel. AUT Journal of Civil Engineering, 5(2), 245-256. https://doi.org/10.22060/AJCE.2020.18227.5667.

Daneshfaraz, R., Sadeghfam, S., Aminvash, E., & Abraham, J. P. (2022). Experimental investigation of multiple supercritical flow states and the effect of hysteresis on the relative residual energy in sudden and gradual contractions. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 46(5), 3843-3858. https://doi.org/10.1007/s40996-022-00818-9

Daneshfaraz, R., Sadeghı, H., Joudı, A. R., & Abraham, J. (2017). Experimental investigation of hydraulic jump characteristics in contractions and expansions. Sigma Journal of Engineering and Natural Sciences, 35(1), 87-98. https://sigma.yildiz.edu.tr/article/475

Daneshfaraz, R., Santos, C. A. G., Norouzi, R., Kashani, M. H., AmirRahmani, M., & Band, S. S. (2023). Prediction of drop relative energy dissipation based on Harris Hawks Optimization algorithm. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 47(2), 1197-1210. https://doi.org/10.1007/s40996-022-00987-7

Ead, S. A., & Rajaratnam, N. (2002). Hydraulic jumps on corrugated beds. Journal of Hydraulic Engineering, 128(7), 656-663. https://doi.org/10.1061/(ASCE)0733-9429(2002)128:7(656)

Ebrahimiyan, S., Hajikandi, H., Shafai Bejestan, M., Jamali, S., & Asadi, E. (2021). Numerical study on the effect of sediment concentration on jump characteristics in trapezoidal channels. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 45, 1059-1075. https://doi.org/10.1007/s40996-020-00510-w.

Elaswad, S., Saleh, O. K., & Elnikhili, E. (2022). Performance of Screen in a Sudden Expanding Stilling Basin under the Effect of the Submerged Hydraulic Jump. The Open Civil Engineering Journal, 16, 1-14. https://doi.org/10.2174/18741495-v16-e2201060.

Gul, E., Dursun, O. F., & Mohammadian, A. (2021). Experimental study and modeling of hydraulic jump for a suddenly expanding stilling basin using different hybrid algorithms. Water Supply, 21(7), 3752-3771. https://doi.org/10.2166/ws.2021.139.

Gupta, S. K., & Dwivedi, V. K. (2023). Prediction of depth ratio, jump length and energy loss in sloped channel hydraulic jump for environmental sustainability. Evergreen, 10 (2), 942-952. https://doi.org/10.5109/6792889

Gupta, S. K., & Dwivedi, V. K. (2024a). Effect of surface roughness and channel slope on hydraulic jump characteristics: an experimental approach towards sustainable environment. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 48(3), 1695-1713. https://doi.org/10.1007/s40996-023-01246-z.

Gupta, S. K., & Dwivedi, V. K. (2024b). Experimental investigation of hydraulic jump characteristics in sloping rough surfaces for sustainable development. Engineering Research Express, 6(2), 025103. https://doi.org/10.1088/2631-8695/ad3acf

Gupta, S. K., Mehta, R. C., & Dwivedi, V. K. (2013). Modeling of relative length and relative energy loss of free hydraulic jump in horizontal prismatic channel. Procedia Engineering, 51, 529-537. https://doi.org/10.1016/j.proeng.2013.01.075

Hafnaoui, M. A., & Debabeche, M. (2023). Displacement of a hydraulic jump in a rectangular channel: experimental study. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 47(2), 1181-1188. https://doi.org/10.1007/s40996-022-00974-y.

Hager, W. H., & Bremen, R. (1989). Classical hydraulic jump: sequent depths. Journal of Hydraulic Research, 27(5), 565-585. https://doi.org/10.1080/00221688909499111

Hamidinejad, A. E., Heidarpour, M., & Ghadampour, Z. (2023). Hydraulic jump control using stilling basin with abruptly expanding and negative step. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 47(6), 3885-3894. https://doi.org/10.1007/s40996-023-01143-5.

Hasanabadi, H. N., Kavianpour, M. R., Khosrojerdi, A., & Babazadeh, H. (2023). Experimental study of natural bed roughness effect on hydraulic condition and energy dissipation over chutes. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 47(3), 1709-1721. https://doi.org/10.1007/s40996-023-01060-7

Hassanpour, N., Hosseinzadeh Dalir, A., Farsadizadeh, D., & Gualtieri, C. (2017). An experimental study of hydraulic jump in a gradually expanding rectangular stilling basin with roughened bed. Water, 9(12), 945. https://doi.org/10.3390/w9120945

Herbrand, K. (1973). The spatial hydraulic jump. Journal of Hydraulic Research, 11 (3), 205-217. https://doi.org/10.1080/00221687309499774

Jan, C. D., & Chang, C. J. (2009). Hydraulic jumps in an inclined rectangular chute contraction. Journal of Hydraulic Engineering, 135(11), 949-958. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000100.

Kim, Y., Choi, G., Park, H., & Byeon, S. (2015). Hydraulic jump and energy dissipation with sluice gate. Water, 7(9), 5115-5133. https://doi.org/10.3390/w7095115

Kramer, M., & Valero, D. (2020). Turbulence and self-similarity in highly aerated shear flows: The stable hydraulic jump. International Journal of Multiphase Flow, 129, 103316. https://doi.org/10.1016/j.ijmultiphaseflow.2020.103316.

Kucukali, S. E. R. H. A. T., & Cokgor, S. (2009). Energy concept for predicting hydraulic jump aeration efficiency. Journal of Environmental Engineering, 135(2), 105-107. https://doi.org/10.1061/(ASCE)0733-9372(2009)135:2(105).

Maryami, E., Mohammadpour, R., Beirami, M. K., & Haghighi, A. T. (2021). Prediction of hydraulic jump characteristics in a closed conduit using numerical and analytical methods. Flow Measurement and Instrumentation, 82, 102071. https://doi.org/10.1016/j.flowmeasinst.2021.102071

Matin, M. A., Hasan, M., & Islam, M. A. (2008). Experiment on hydraulic jump in sudden expansion in a sloping rectangular channel. Journal of Civil Engineering (IEB), 36(2), 65-77. https://www.jce-ieb.org/doc_file/3602001.pdf

McCorquodale, J. A., & Mohamed, M. S. (1994). Hydraulic jumps on adverse slopes. Journal of Hydraulic Research, 32(1), 119-130. https://doi.org/10.1080/00221689409498793

Mnassri, S., & Triki, A. (2023). An investigation of induced free-surface wave oscillations in prismatic open-channel. ISH Journal of Hydraulic Engineering, 29(5), 701-706. https://doi.org/10.1080/09715010.2022.2138587.

Mohammadzadeh-Habili, J., Heidarpour, M., & Samiee, S. (2018). Study of energy dissipation and downstream flow regime of labyrinth weirs. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 42, 111-119. https://doi.org/10.1007/s40996-017-0088-6

Murzyn, F., & Chanson, H. (2008). Experimental assessment of scale effects affecting two-phase flow properties in hydraulic jumps. Experiments in Fluids, 45, 513-521. https://doi.org/10.1007/s00348-008-0494-4

Omid, M. H., Esmaeeli Varaki, M., Narayanan, R., Zhang, J. M., Xu, W. L., Lin, P. Z., & Wang, W. (2009). Gradually expanding hydraulic jump in a trapezoidal channel. Journal of Hydraulic Research, 47(3), 396-398. https://doi.org/10.1080/00221686.2007.9521786

Parsaie, A., Haghiabi, A. H., Saneie, M., & Torabi, H. (2018). Prediction of energy dissipation of flow over stepped spillways using data-driven models. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 42, 39-53. https://doi.org/10.1007/s40996-017-0060-5.

Peterka, A. J. (1958). Hydraulic design of stilling basins and energy dissipaters engineering monograph No. 25. US Bureau of Reclamation, Denver Colorado.

Pourabdollah, N., Heidarpour, M., Abedi Koupai, J., & Mohamadzadeh-Habili, J. (2022). Hydraulic jump control using stilling basin with adverse slope and positive step. ISH Journal of Hydraulic Engineering, 28(1), 10-17. https://doi.org/10.1080/09715010.2020.1812008

Rajaratnam, N., & Subramanya, K. (1968). Hydraulic jumps below abrupt symmetrical expansions. Journal of the Hydraulics Division, 94(2), 481-504. https://doi.org/10.1061/JYCEAJ.0001780.

Roushangar, K., & Homayounfar, F. (2019). Prediction characteristics of free and submerged hydraulic jumps on horizontal and sloping beds using SVM method. KSCE Journal of Civil Engineering, 23(11), 4696-4709. https://doi.org/10.1007/s12205-019-1070-6.

Sharoonizadeh, S., Ahadiyan, J., Fathi Moghadam, M., Sajjadi, M., & Di Bacco, M. (2022). Experimental investigation on the characteristics of hydraulic jump in expanding channels with a water jet injection system. Journal of Hydraulic Structures, 7(4), 58-75. https://doi.org/10.22055/JHS.2022.40233.1203

Torkamanzad, N., Hosseinzadeh Dalir, A., Salmasi, F., & Abbaspour, A. (2019). Hydraulic jump below abrupt asymmetric expanding stilling basin on rough bed. Water, 11(9), 1756. https://doi.org/10.3390/w11091756.

Varaki, M. E., Kasi, A., Farhoudi, J., & Sen, D. (2014). Hydraulic jump in a diverging channel with an adverse slope. Iranian Journal of Science and Technology. Transactions of Civil Engineering, 38(C1), 111. https://doi.org/10.22099/IJSTC.2014.1848.

Wang, W., Baayoun, A., & Khayat, R. E. (2023). A coherent composite approach for the continuous circular hydraulic jump and vortex structure. Journal of Fluid Mechanics, 966, A15. https://doi.org/10.1017/jfm.2023.374

Welahettige, P., Lie, B., & Vaagsaether, K. (2017). Flow regime changes at hydraulic jumps in an open Venturi channel for Newtonian fluid. The Journal of Computational Multiphase Flows, 9(4), 169-179. https://doi.org/10.1177/1757482X17722890

Zhang, J., Zhang, Q., Wang, T., Li, S., Diao, Y., Cheng, M., & Baruch, J. (2017). Experimental study on the effect of an expanding conjunction between a spilling basin and the downstream channel on the height after jump. Arabian Journal for Science and Engineering, 42, 4069-4078. https://doi.org/10.1007/s13369-017-2568-1.