Research Article | OPEN ACCESS
Numerical Study of a Vortex Ring Interacting with a Three-dimensional Convex Surface
Heng Ren, Genxuan Zhang, Hongshan Guan, Xianfeng Zhang and Wanjun Liu
China Electronics Technology Group Corporation No. 38 Research Institute, Hefei 230031, China
Research Journal of Applied Sciences, Engineering and Technology 2014 17:1863-1869
Received: June ‎25, ‎2014 | Accepted: August ‎26, ‎2014 | Published: November 05, 2014
Abstract
A vortex ring impinging on a three-dimensional bump is studied using Large Eddy Simulation (LES) for a Reynolds number Re = 4×104 based on the initial diameter and translational speed of the vortex ring. The evolution of vortical structures are investigated and an array of flow phenomena are discovered, such as the generation and deformation of secondary vortex ring, formation of loop-like vortices, interaction of vortex rings and the instability and breakdown of vortical structures. The total enstrophy of the flow reasonably elucidates some typical phases of flow evolution. Based on the Fourier analysis of the vertical vorticity, the azimuthal instabilities of the primary vortex ring are studied. Furthermore, the mechanism of vorticity generation on the bump surface has been revealed based on analysis of the boundary vorticity flux.
Keywords:
Azimuthal instability, large eddy simulation, vortical structure,
References
-
Akhmetov, D.G., B.A. Lugovtsov and V.F. Tarasov, 1980. Extinguishing gas and oil well fires by means of vortex rings. Combust. Explo. Shock+, 16: 490-494.
CrossRef -
Allen, J.J., Y. Jouanne and B.N. Shashikanth, 2007. Vortex interaction with a moving sphere. J. Fluid Mech., 587: 337-346.
CrossRef -
Archer, P.J., T.G. Thomas and G.N. Coleman, 2008. Direct numerical simulation of vortex ring evolution from the laminar to the early turbulent regime. J. Fluid Mech., 598: 201-226.
CrossRef -
Chahine, G.L. and P.F. Genoux, 1983. Collapse of a cavitating vortex ring. J. Fluid Eng., 105: 400-405.
CrossRef -
Cheng, M., J. Lou and L.S. Luo, 2010. Numerical study of a vortex ring impacting a flat wall. J. Fluid Mech., 660: 430-455.
CrossRef -
Chu, C.C., C.T. Wang and C.S. Hsieh, 1993. An experimental investigation of vortex motions near surfaces. Phys. Fluids A-Fluid, 5: 662-676.
CrossRef -
Clercx, H.J.H. and C.H. Bruneau, 2006. The normal and oblique collision of a dipole with a no-slip boundary. Comput. Fluids, 35: 245-279.
CrossRef -
Couch, L.D. and P.S. Krueger, 2011. Experimental investigation of vortex rings impinging on inclined surfaces. Exp. Fluids, 51: 1123-1138.
CrossRef -
De Sousa, P.J.S.A.F., 2012. Three-dimensional instability on the interaction between a vortex and a stationary sphere. Theor. Comp. Fluid Dyn., 26: 391-399.
CrossRef -
Lundgren, T.S. and N.N. Mansour, 1991. Vortex ring bubbles. J. Fluid Mech., 224: 177-196.
CrossRef -
Maxworthy, T., 1972. The structure and stability of vortex rings. J. Fluid Mech., 51: 15-32.
CrossRef -
Orlandi, P. and R. Verzicco, 1993. Vortex rings impinging on walls: Axisymmetric and three dimensional simulations. J. Fluid Mech., 256: 615-646.
CrossRef -
Saffman, P.G., 1978. The number of waves on unstable vortex rings. J. Fluid Mech., 84: 625-639.
CrossRef -
Shariff, K., R. Verzicco and P. Orlandi, 1994. A numerical study of three-dimensional vortex ring instabilities: Viscous corrections and early nonlinear stage. J. Fluid Mech., 279: 351-375.
CrossRef -
Verzicco, R., J.B. Flor, G.J.F. Van Heijst and P. Orlandi, 1995. Numerical and experimental study of the interaction between a vortex dipole and a circular cylinder. Exp. Fluids, 18: 153-163.
CrossRef -
Walker, J.D.A., C.R. Smith, A.W. Cerra and T.L. Doligaski, 1987. The impact of a vortex ring on a wall. J. Fluid Mech., 181: 99-140.
CrossRef -
Xu, C.Y., L. W. Chen and X.Y. Lu, 2010. Large eddy simulation of the compressible flow past a wavy cylinder. J. Fluid Mech., 665: 238-273.
CrossRef -
Zhang, J.P., M.Y. Xu and J.C. Mi, 2014. Large eddy simulations of a circular orifice jet with and without a cross-sectional exit plate. Chinese Phys. B, 23: 044704.
CrossRef
Competing interests
The authors have no competing interests.
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This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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The authors have no competing interests.
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