Hostname: page-component-848d4c4894-hfldf Total loading time: 0 Render date: 2024-05-13T23:10:06.799Z Has data issue: false hasContentIssue false

Lattice Boltzmann Study of a Vortex Ring Impacting Spheroidal Particles

Published online by Cambridge University Press:  03 June 2015

Chunlong Yu
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
Haibo Huang*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
Xiyun Lu
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
*
*Corresponding author. Email: huanghb@ustc.edu.cn
Get access

Abstract

Interaction of vortex rings with solid is an important research topic of hydrodynamic. In this study, a multiple-relaxation time (MRT) lattice Boltzmann method (LBM) is used to investigate the flow of a vortex ring impacting spheroidal particles. The MRT-LBM is validated through the cases of vortex ring impacting a flat wall. The vortex evolution due to particle size, the aspect ratio of a prolate particle, as well as Reynolds (Re) number are discussed in detail. When the vortex ring impacting a stationary sphere, the primary and secondary vortex rings wrap around each other, which is different from the situation of the vortex ring impacting a plate. For the vortex ring impacting with a prolate spheroid, the secondary vortex ring stretches mainly along the long axis of the ellipsoid particle. However, it is found that after the vortex wrapping stage, the primary vortex recovers along the short axis of the particle faster than that in the long axis, i.e., the primary vortex ring stretches mainly along the short axis of the particle. That has never been address in the literature.

Type
Research Article
Copyright
Copyright © Global-Science Press 2014

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Cheng, M., Lou, J. and Luo, L. S., Numerical study of a vortex ring impacting aflat wall, J. Fluid Mech., 660 (2010), pp. 430455.Google Scholar
[2] Lim, T. T., Nickels, T. B. and Chong, M. S., A note on the cause of rebound in the head-on collision of a vortex ring with a wall, Exp. Fluids, 12 (1991), pp. 4148.Google Scholar
[3] Orlandi, P. and Verzicco, R., Vortex rings impinging on walls: axisymmetric and threedimensional simulations, J. Fluid Mech., 256 (1993), pp. 615646.Google Scholar
[4] Naguib, A. M. and Koochesfahani, M. M., On wall-pressure sources associated with the unsteady separation in a vortex-ring/wall interaction, Phys. Fluids, 16 (2004), pp. 26132622.Google Scholar
[5] Chu, C. C., Wang, C. T. and Chang, C. C., A vortex ring impinging on a solid plane surface- Vortex structure and surface force, Phys. Fluids A, 7 (1995), pp. 13911401.CrossRefGoogle Scholar
[6] Saffman, P. G., The approach of a vortex pair to a plane surface in inviscid fluid, J. Fluid Mech., 92 (1979), pp. 497503.Google Scholar
[7] Kiya, K., Ohyama, M. and Hunt, J. C. R., Vortex pairs and rings interacting with shear-layer vortices, J. Fluid Mech., 172 (1986), pp. 115.CrossRefGoogle Scholar
[8] Liu, C. H., Vortex simulation of unsteady shear flow induced by a vortex ring, Comput. Fluids, 31 (2002), pp. 183207.Google Scholar
[9] Allen, J. J., Jouanne, Y. and Shashikanth, B. N., Vortex interaction with a moving sphere, J. Fluid Mech., 587 (2007), pp. 337346.CrossRefGoogle Scholar
[10] Ferreira de Sousa, P. J. S. A., Three-dimensional instability on the interaction between a vortex and a stationary sphere, Theor. Comput. Fluid Dyn., (2011), 110239-5.Google Scholar
[11] Yu, D., Mei, R., Luo, L. S. and Shyy, W., Viscous flow computations with the method of lattice Boltzmann equation, Prog. Aerosp. Sci., 39 (2003), pp. 329367.CrossRefGoogle Scholar
[12] He, X. and Doolen, G. D. et al., Comparison of the lattice Boltzmann method and the artificial compressibility method for Navier-Stokes equations, J. Comput. Phys., 179 (2002), pp. 439451.CrossRefGoogle Scholar
[13] Bhatnagar, P. L., Gross, E. P. and Krookm, M., A model for collision processes in gases 1, Small amplitude processes in charged and neutral one-component systems, Phys. Rev., 94 (1954), pp. 511525.Google Scholar
[14] d’Humieres, D., Ginzburg, I., Krafczyk, M., Lallemand, P. and Luo, L-S, Multiple-relaxation-time lattice Boltzmann models in three dimensions, Phil. Trans. Royal Society of London: Series A, 360 (2002), pp. 437451.CrossRefGoogle ScholarPubMed
[15] Lallemand, P. and Luo, L-S, Lattice Boltzmann method for moving boundaries, J. Comput. Phys., 184 (2003), pp. 406421.Google Scholar
[16] Lamb, H., Hydrodynamics, Cambridge University Press.Google Scholar
[17] Huang, H. B., Yang, X., Krafczyk, M. and Lu, X. Y., Rotation of spheroidal particles in Couette flows, J. Fluid Mech., 692 (2012), pp. 369394.Google Scholar
[18] Chen, Y., Cai, Q. D., Xia, Z. H., Wang, M. R. and Chen, S. Y., Momentum-exchange method in lattice Boltzmann simulations ofparticle-fluid interactions, Phys. Rev. E, 88 (2013), 013303.Google Scholar