Vorticity and fluvial scour around hydraulic structures: a review
DOI:
https://doi.org/10.32911/as.2025.v18.n1.1226Keywords:
Vorticity, Undermining, Breakwaters, Advection, Stretching, Diffusion, Strouhal numberAbstract
The main objective was to analyze vorticity as a hydraulic phenomenon that influences fluvial scour around hydraulic structures. The methodology consisted of a review of bibliographies and scientific articles related to vorticity and its effect on scour. One of the relevant conclusions is that the deduction of the vorticity equation is carried out from the Navier – Stokes equation, which contains the advection terms and the rate of change of local vorticity in the first member; while the second member contains the vorticity stretching and diffusion terms. Vorticity advection consists of the transport of vorticity along the river, which contributes to general scour but more to local scour, vorticity stretching represents the intensification of vorticity in the direction of flow velocity, which contributes to local scour and vorticity diffusion which expresses vorticity attenuation. Wake vortex shedding is generated behind bridge piers and is evaluated using the Strouhal number.
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Adnan, M., Zhao, M., Wu, H., & Dhamelia, V. (2025). Experimental study of local scour around a compound pile under steady current. Ocean Engineering, 318, 120151. https://doi.org/10.1016/j.oceaneng.2024.120151
Al-Jubouri, M., & Ray, R. (2023). A comparative study of local scour depth around bridge piers. Pollack Periodica, 18(1), 100–105. https://doi.org/10.1556/606.2022.00649
Baranwal, A., & Das, B. (2024). Scouring around bridge pier: A comprehensive review of countermeasure techniques. Engineering Research Express, 6(022103). https://doi.org/10.1088/2631-8695/ad5495.
Bourguet, R., Modarres-Sadeghi, Y., Karniadakis, G. E., & Triantafyllou, M. S. (2011). Wake-body resonance of long flexible structures is dominated by counterclockwise orbits. Physical review letters,107(13), 134502. https://doi.org/10.1103/PhysRevLett.107.134502
Cengel, Y., & Cimbala, J. (2014). Fluid mechanics. McGraw – Hill.
Budhu, M. (2007). Soil mechanics and foundations. John Wiley & Sons.
Chanson, H. (2009). Applied hydrodynamics: an introduction to ideal and real fluid flows. CRC press.
Chen, Q., Yang, Z., & Wu, H. (2019). Evolution of turbulent horseshoe vortex system in front of a vertical circular cylinder in open channel. Water, 11(10), 2079. https://doi.org/10.3390/w11102079
Chen, Z., Zhou, J., & Chen, Q. (2023). Research and Application of the Calculation Method of River Roughness Coefficient with Vegetation. Water, 15(7), https://doi.org/10.3390/w15142638
Choufu, L., Abbasi, S., Pourshahbaz, H., Taghvaei, P., & Tfwala, S. (2019). Investigation of flow, erosion, and sedimentation pattern around varied groynes under different hydraulic and geometric conditions: A numerical study. Water, 11(2), 235. https://doi.org/10.3390/w11020235
Dey, S., Raikar, R. V., & Roy, A. (2008). Scour at submerged cylindrical obstacles under steady flow. Journal of Hydraulic Engineering, 134(1), 105-109. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:1(105)
Echeverribar, I., Morales-Hernández, M., Lacasta, A., Brufrau, P., & García-Navarro, P. (2017). Simulación numérica con RiverFlow2D de posibles soluciones de mitigación de avenidas en el tramo medio del río Ebro. Ingeniería del agua, 21(1), 53-70. https://doi.org/10.4995/ia.2017.6550
Fay, J. (1996). Mecánica de fluidos. México: Compañía Editorial Continental, S.A.
Hirst, C., McDonald, N. (2024). Erosion of surfaces by trapped vortices. Journal of Engineering Mathematics, 148(7). https://doi.org/10.1007/s10665-024-10396-6
Khan, Z., Khan, D., Murtaza, N., Pasha, G., Alotaibi, S., Rezzoug, A., Benzougagh, B., & Khedher, K. (2024). Advanced prediction models for scouring around bridge abutments: A comparative study of empirical and AI techniques. Water, 16(3082). https://doi.org/10.3390/w16213082
Koken, M., Gogus, M. (2010). Time evolution of the horseshoe vortex system forming around a bridge abutment. In S. E. Burns, S. K.
Bhatia, C. M. C. Avila, & B. E. Hunt (Eds.), Proceedings of the 5th International Conference on Scour and Erosion (ICSE-5), November 7-10, 2010, San Francisco, USA (pp. 668-677). American Society of Civil Engineers. https://hdl.handle.net/20.500.11970/100281
Kumcu, S., Kokpinar, M., & Gogus, M. (2014). Scour protection around vertical-wall bridge abutments with collars. KSCE Journal of Civil Engineering, 18(6), 1884-1895. https://doi.org/10.1007/s12205-014-0245-4
Maeda, J., & Fukui, T. (2025). Numerical study of suspension viscosity accounting for particle–fluid interactions under low-confinement conditions in two-dimensional parallel-plate flow. Processes, 13(690). https://doi.org/10.3390/pr13030690
Marsden, J., Tromba, A. (2012). Vector calculus. Freeman and Company Publishers.
Melville, B. (2008). The physics of local scour at bridge piers. In H. Sekiguchi (Ed.), Proceedings of the 4th International Conference on Scour and Erosion (ICSE-4) (pp. 28-40). The Japanese Geotechnical Society. https://hdl.handle.net/20.500.11970/100095
Mohamed, W. (2020). Effect of local scour on foundation of hydraulic structure. International Research Journal of Engineering and Technology (IRJET), 7(2), 916-924. https://www.irjet.net
Liao, C., Yeh, K., Lan, Y., Jhong, R., & Jia, Y. (2021). Improving the 2d numerical simulations on local scour hole around spur dikes. Water, 13(11), https://doi.org/10.3390/w13111462.
Omara, H., Tawfik, A. (2018). Numerical study of local scour around bridge piers. IOP Conference Series: Earth and Environmental Science, 151(012013). https://doi.org/10.1088/1755-1315/151/1/012013
Paik, J., Bombardelli, F., & Lee, N. (2014). Numerical simulation of turbulent free surface flow around a circular cylinder. In Lehfeldt & Kopmann (Eds.), Proceedings of the International Conference on Hydro-Science & Engineering (ICHE 2014) (pp. 991-999). Bundesanstalt für Wasserbau. ISBN 978-3-939230-32-8.
Pizarro, S., Manfreda, S., Tubaldi, E. (2020). The science behind scour and bridge foundation: a review. Water, 12(374). https://acortar.link/qtqSO4
Potter, M., & Wiggert, D. (2012). Mechanics of fluids. Cengage Learning.
Rodríguez, B., & Escauriaza, C. (2010). Turbulent flow in the scour hole downstream of a sluice gate: erosion induced by Görtler vortices. En Dittrich, A.; Koll, K.; Aberle, J.; Geisenhainer, P. (Eds.), River Flow, Karlsruhe: Bundesanstalt für Wasserbau, pp. 195-202. https://hdl.handle.net/20.500.11970/99646.
Rossi, E., Colagrossi, A., & Graziani, G. (2015). Numerical simulation of 2D-vorticity dynamics using particle methods. Computers and Mathematics with Applications, 69(12), 1484-1503. https://doi.org/10.1016/j.camwa.2015.04.004
Saha, R., Lee, S., Hong, S. (2018). A comprehensive method of calculating maximum bridge scour depth. Water, 10(11), 1572. https://doi.org/10.3390/w10111572
Wang, W., Wei, S., Zhu, D., Wang, J., & Duan, H. (2024). Characteristics and mechanism of downflow in front of a cylindrical pier with clear-water local scour. Water, 16(1863). https://doi.org/10.3390/w16131863:contentReference[oaicite:0]{index=0}.
White, F. (2016). Mechanics of fluids. McGraw – Hill Education
Unger, J., & Hager, W. (2007). Downflow and horseshoe vortex characteristics of sediment embedded bridge piers. Experiments in Fluids, 42(1), 1–19. https://doi.org/10.1007/s00348-006-0209-7
Wu, J. Z., Ma, H. Y., Zhou, M. D., Wu, J. Z., Ma, H. Y., & Zhou, M. D. (2006). Typical vortex solutions. Vorticity and Vortex Dynamics, 255-321. https://doi.org/10.1007/978-3-540-29028-5_6
Yousif, A., Sulaiman, S., Diop, L., Ehteram, M., Shahid, S., Al-Ansari, N., Yaseen, Z. (2019). Open channel sluice gate scouring parameters prediction: Different scenarios of dimensional and non-dimensional input parameters. Water, 11(2), 353. https://doi.org/10.3390/w11020353
Zaid, M., Yazdanfar, Z., Chowdhury, H., Alam, F. (2019). A review on the methods used to reduce the scouring effect of bridge pier. Energy Procedia, 160, 45–50. https://doi.org/10.1016/j.egypro.2019.02.117
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