Empirical analysis of hydraulic jump roller length in sloped composite channels with different roughness coefficients
DOI:
https://doi.org/10.24850/j-tyca-2026-06-04Palabras clave:
hydraulic jump, hydrodynamics, hydraulic engineering, hydraulic structures, empirical research, mathematical modelsResumen
The hydraulic jump is a fundamental transitional phenomenon between supercritical and subcritical flow in open channels, playing a pivotal role in stabilizing hydraulic systems, dissipating energy, and preventing scour downstream of hydraulic structures. This study investigates the combined effects of channel slope and major bed roughness in a rectangular compound channel on hydraulic jump characteristics. Laboratory experiments were conducted using a 10‑meter flume equipped with adjustable longitudinal slopes and roughened surfaces of varying diameters. The study focused on determining the relative roller length (Lr/h1) under different upstream Froude numbers, slopes, and roughness conditions. Results show that the relative roller length increases with the Froude number but decreases with increasing bed roughness. A global predictive equation was developed, integrating Froude number, slope, and roughness, which demonstrated excellent agreement with experimental data (R2 = 0.9985) and low error margins. This confirms the robustness of the model and its potential for practical application in the design of stilling basins and hydraulic energy dissipation systems.
Referencias
Alghwail, A. D. A. (2021). Investigation of the perfect hydraulic jump in horizontal rectangular channel. Journal of Alasmarya University: Basic and Applied Sciences, 6(5), 222-229. https://conf.asmarya.edu.ly/index.php/cest2021/en/article/view/113
Argyropoulos, P. A. (1962). General solution of the hydraulic jump in sloping channels. Journal of the Hydraulics Division, 88(4), 61-75. https://doi.org/10.1061/JYCEAJ.0000767
Bakhmeteff, B. A., & Matzke, A. E. (1938). The hydraulic jump in sloped channels. Transactions of the American Society of Mechanical Engineers. Journal of Fluids Engineering, 60(2), 111-118. https://doi.org/10.1115/1.4020643
Beirami, M. K., & Chamani, M. R. (2006). Hydraulic jumps in sloping channels: Sequent depth ratio. Journal of Hydraulic Engineering, 132(10), 1061-1068. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:10(1061)
Benabdesselam, A. (2020). Approches theoriques et experimentales du ressaut hydraulique dans un profil de canal compose [Thesis doctoral, Université Mohamed Khider-Biskra]. University of Biskra Theses Repository. http://thesis.univ-biskra.dz/id/eprint/4758
Boudjelal, S., Fourar, A., & Massouh, F. (2024). Numerical simulation of hydraulic jump in a compound channel. Engineering, Technology & Applied Science Research, 14(5), 17393-17397. https://doi.org/10.48084/etasr.8235
Chanson, H. (2015). Energy dissipation in hydraulic structures. CRC Press. https://doi.org/10.1201/b18441
Chen-Feng, L. (1995). Determining the location of hydraulic jump by lmodel test and hec-2 flow routing [Thesis of master, Ohio University]. Ohio Library and Information Network (OhioLINK)-Electronic Theses & Dissertations Center. https://etd.ohiolink.edu/acprod/odb_etd/ws/send_file/send?accession=ohiou1179944723&disposition=inline
Cherhabil, S., & Debabeche, M. (2016). Experimental study of sequent depths ratio of hydraulic jump in sloped trapezoidal channel. In: 6th International Symposium on Hydraulic Structures, Portland, USA. Utha State University. https://doi.org/10.15142/T3610628160853
Daneshfaraz, R., MajediAsl, M., Mirzaee, R., & Tayfur, G. (2021). 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
Debabeche, M., Cherhabil, S., Hafnaoui, A., & Achour, B. (2009). Hydraulic jump in a sloped triangular channel. Canadian Journal of Civil Engineering, 36(4), 655-658. https://doi.org/10.1139/L08-136
Djamaa, W., Ghomri, A., & Al-Fawzy, A. (2022). Experimental study of the sequent depths ratio of the hydraulic jump in a rectangular compound channel with a rough minor bed. LARHYSS Journal, (49), 197-206. https://www.larhyss.net/ojs/index.php/larhyss/article/view/821
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)
Ghomri, A., Kateb, S., & Riguet, F. (2018). Contribution a l’etude experimentale du ressaut hydraulique controle par seuil dans un canal rectangulaire a pente variable. In: International Symposium on Mechatronics and Renewable Energies El-Oued, Algeria. https://archives.univ-eloued.dz/handle/123456789/1662
Ghomri, A., Lacheheb, S., & Djamaa, W. (2023). Effect of roughness on the characteristics of the hydraulic jump evolving into a rectangular channel of compound section. Journal of Fundamental and Applied Sciences, 15(1), 50-61. https://www.jfas.info/index.php/JFAS/article/view/1300
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. (2024). 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., & Dwivedi, V. K. (2025). Evaluation of hydraulic jump characteristics in rough sloping surfaces for sustainable environment: A laboratory investigation. Sigma Journal of Engineering and Natural Sciences, 148-159. https://dergipark.org.tr/en/download/article-file/4713182
Hachemi-Rachedi, L. (2005). Analyse d’un écoulement au travers d’une contraction latérale [Thesis of master, Université Mohamed Khider-Biskra]. University of Biskra Theses Repository. http://thesis.univ-biskra.dz/id/eprint/1102
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
Hager, W. H., & Bretz, N. V. (1987). Discussion of "Simplified design of contractions in supercritical flow" by Terry W. Sturm (May, 1985, Vol. 111, No. 5). Journal of Hydraulic Engineering, 113(3), 422-424. https://doi.org/10.1061/(ASCE)0733-9429(1987)113:3(422)
Hughes, W. C., & Flack, J. E. (1984). Hydraulic jump properties over a rough bed. Journal of Hydraulic Engineering, 110(12), 1755-1771. https://doi.org/10.1061/(ASCE)0733-9429(1984)110:12(1755)
Ibtissam, H., Samir, K., Ali, G., Haroun, K., & Djamel, B. (2025). Experimental investigation of the sequent depth ratio in hydraulic jumps occurring in a sloped compound rectangular channel with a rough minor bed. Water Practice & Technology, 20(8), 1745-1762. https://doi.org/10.2166/wpt.2025.101
Kateb, S. (2014). Etude theorique et experimentale de quelques types de ressauts hydrauliques dans un canal trapezoïdal [Thesis of doctoral, Université Mohamed Khider-Biskra]. University of Biskra Theses Repository. http://thesis.univ-biskra.dz/id/eprint/63
Khattaoui, M., & Achour, B. (2012). Ressaut Hydraulique En Lit Compose Hydraulic Jump In Compound Chanel. Le Journal de l'Eau et de l'Environnement, 11(20), 44-51. https://asjp.cerist.dz/en/article/37432
Khechiba, H., Ghomri, A., Besser, D., & Herri, I. (2025). A semi-theoretical study on the effect of rough beds on the conjugate depth ratio in hydraulic jumps. Engineering, Technology & Applied Science Research, 15(3), 23082-23087. https://doi.org/10.48084/etasr.10754
Kindsvater, C. E. (1944). The hydraulic jump in sloping channels. Transactions of the American Society of Civil Engineers, 109(1), 1107-1120. https://doi.org/10.1061/TACEAT.0005733
Lacheheb, S. (2023). Contribution à l’étude du ressaut hydraulique contrôlé par seuil à paroi mince évoluant dans un canal rectangulaire de section composée avec lit majeur rugueux [Thesis of doctoral, Université Kasdi Merbah Ouargla]. Digital repository of Université Kasdi Merbah Ouargla. https://dspace.univ-ouargla.dz/jspui/handle/123456789/33184
Laishram, K., Kumar, P. A. & Devi, T. T. (2021). Effect of channel slope and roughness on hydraulic jump in open channel flow. IOP Conference Series: Earth and Environmental Science, 958, 012014. https://doi.org/10.1088/1755-1315/958/1/012014
Luo, G. Y., Cao, H. & Pan, H. (2021). Method to locate the toe of a hydraulic jump on sloping channels. KSCE Journal of Civil Engineering, 25(1), 124-139. https://doi.org/10.1007/s12205-020-0081-7
Mahtabi, G., Chaplot, B., Azamathulla, H. M., & Pal, M. (2020). Classification of hydraulic jump in rough beds. Water, 12(8), 2249. https://doi.org/10.3390/w12082249
Mikhalev, M. A., & Hoang-Ty, A. (1976). Kinematic characteristics of a hydraulic jump on a sloping apron. Hydrotechnical Construction, 10(7), 686-690. https://doi.org/10.1007/BF02381815
Nandi, B., Das, S., & Mazumdar, A. (2020). Experimental analysis and numerical simulation of hydraulic jump. IOP Conference Series: Earth and Environmental Science, 505, 012024. https://doi.org/10.1088/1755-1315/505/1/012024
Nouacer, B. (2023). Contribution a l’etude theorique et experimentale de ressaut hydraulique evoluant dans un canal rectangulaire incline a fond rugueux [Thesis of doctoral, Université Kasdi Merbah Ouargla]. Digital repository of Université Kasdi Merbah Ouargla. https://dspace.univ-ouargla.dz/jspui/handle/123456789/33312
Palermo, M., & Pagliara, S. (2017). D-jump in rough sloping channels at low Froude numbers. Journal of Hydro-Environment Research, 14, 150-156. https://doi.org/10.1016/j.jher.2016.10.002
Parsamehr, P., Kuriqi, A., Farsadizadeh, D., Dalir, A. H., Daneshfaraz, R., & Ferreira, R. M. L. (2022). Hydraulic jump over an adverse slope controlled by different roughness elements. Water Resources Management, 36(14), 5729-5749. https://doi.org/10.1007/s11269-022-03330-x
Rajaratnam, N. (1965). Hydraulic jump in horizontal conduit. Water Power, 17, 80-83.
Rajaratnam, N. (1967). Hydraulic jumps. In: Advances in hydroscience. (Vol. 4, pp. 197-280). Elsevier. https://doi.org/10.1016/B978-1-4831-9935-1.50011-2
Rajaratnam, N., & Murahari, V. (1974). Flow characteristics of sloping channel jumps. Journal of the Hydraulics Division, 100(6), 731-740. https://doi.org/10.1061/JYCEAJ.0003975
Riguet, F., Debabeche, M., & Ghomri, A. (2020). Experimental study of the sequent depth ratio of the hydraulic jump in a straight compound rectangular channel. Journal of Fundamental and Applied Sciences, 12(1S), 56-65. https://www.jfas.info/index.php/JFAS/article/view/633
Sayyadi, K., Heidarpour, M., & Ghadampour, Z. (2022). Effect of bed roughness and negative step on characteristics of hydraulic jump in rectangular stilling basin. Shock and Vibration, 2022, 1722065. https://doi.org/10.1155/2022/1722065
Simsek, O., Akoz, M. S., & Oksal, N. G. S. (2023). Experimental analysis of hydraulic jump at high Froude numbers. Sādhanā, 48(2), 47. https://doi.org/10.1007/s12046-023-02081-8
Descargas
Publicado
Número
Sección
Licencia
Derechos de autor 2026 Tecnología y ciencias del agua

Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial-CompartirIgual 4.0.
Por Instituto Mexicano de Tecnología del Agua se distribuye bajo una Licencia Creative Commons Atribución-NoComercial-CompartirIgual 4.0 Internacional. Basada en una obra en https://www.revistatyca.org.mx/. Permisos que vayan más allá de lo cubierto por esta licencia pueden encontrarse en Política editorial
