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Numerical simulation of sediment erosion by submerged jets using an Eulerian model. (English) Zbl 1278.76012
Summary: The erosion of loose beds by submerged circular impinging vertical turbulent jets is simulated using an Eulerian two-phase model which implements Euler-Euler coupled governing equations for fluid and solid phases, and a modified \(k\)-\(\varepsilon\) turbulence closure for the fluid phase. Both flow-particle and particle-particle interactions are considered in this model. The predictions of eroded bed profiles agree well with previous laboratory measurements and self-designed experiments. Analysis of the simulated results reveals that the velocity field of the jet water varies with various scouring intensities, that the scour depth and shape are mainly influenced by the driving force of the water when the density, diameter and porosity of the sand are the same, and that the porosity is an important contributor to sediment erosion. In this study, the scour depth, the height of dune and the velocity of the pore water increase with increasing porosity.

76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
76F60 \(k\)-\(\varepsilon\) modeling in turbulence
76T99 Multiphase and multicomponent flows
Full Text: DOI
[1] Rajaratnam N, Beltaos S. Erosion by impinging circular turbulent jets. J Hydraul Division, 1977, 103(10): 1191–1205
[2] Aderibigbe O O, Rajaratnam N. Erosion of loose beds by submerged circular impinging vertical turbulent jets. J Hydraul Res, 1996, 34(1): 19–33 · doi:10.1080/00221689609498762
[3] Rajaratnam N, Mazurek K A. Erosion of sand by circular impinging water jets with small tailwater. J Hydraul Eng, 2003, 129(3): 225–229 · doi:10.1061/(ASCE)0733-9429(2003)129:3(225)
[4] Mazurek K A, Rajaratnam N, Sego D C. Scour of cohesive soil by submerged circular turbulent impinging jets. J Hydraul Eng, 2001, 127(7): 598–606 · doi:10.1061/(ASCE)0733-9429(2001)127:7(598)
[5] Mazurek K A, Rajaratnam N. Scour of a cohesive soil by submerged plane turbulent wall jets. J Hydraul Res, 2003, 41(2): 195–206 · doi:10.1080/00221680309499961
[6] Mih W C, Kabir J. Impingement of water jets on nonuniform streambed. J Hydraul Eng, 1983, 109(4): 536–548 · doi:10.1061/(ASCE)0733-9429(1983)109:4(536)
[7] Ansari S A, Kothyari U C. Influence of cohesion on scour under submerged circular vertical jets. J Hydraul Eng, 2003, 129(12): 1014–1019 · doi:10.1061/(ASCE)0733-9429(2003)129:12(1014)
[8] Sun D P, Yang H L, Zhang X S, et al. Measurement and simulation of 3D flow field in the pier scouring pool (in Chinese). Advan Water Sci, 2007, 18(5): 711–716
[9] Deng J, Qu J X, Liu C, et al. Numerical simulation of scouring of aerated jet flow (in Chinese). J Sichuan U (Eng Sci Ed), 2008, 40(3): 1–5
[10] Deng J, Xu W L, Yang Z C, et al. Numerical simulation of scouring on bedrock (in Chinese). Adv Water Sci, 2005, 16(1): 47–51
[11] Andreas R B. Mutlu S, Jørgen F, et al. Numerical and experimental investigation of flow and scour around a circular pile. J Fluid Mech, 2005, 534(4): 351–401 · Zbl 1134.76370 · doi:10.1017/S0022112005004507
[12] Boemer A, Qi H, Renz U, et al. Eulerian computation of fluidized hydrodynamics–a comparison of physical models. Proc of the 13th Int Conf on Fluidized Bed Combustion, 1995, 2: 775–787
[13] Hinze J O. Turbulence. New York: McGraw-Hill, 1975
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