×

Numerical investigation of dispersed gas-solid two-phase flow around a circular cylinder using lattice Boltzmann method. (English) Zbl 1271.76353

Summary: The vortex structures and particle dispersions in flows around a circular cylinder are investigated by lattice Boltzmann method (LBM), with non-equilibrium extrapolation method (NEM) dealing with the computational boundaries. The particles are traced in the Lagrangian framework. The effect of the Reynolds number (\(Re=40-100\)) on the evolution of the vortex structures is investigated. Good agreements of the drag coefficient, lift coefficient and the Strouhal number are achieved with previous studies. It is found that both the Reynolds number and the Stokes number produce significant influences on the particle distribution. The small particles (\(St=0.01\)) follow the motion of the fluid very well and can disperse into the core regions of the vortex structures. The particles at intermediate Stokes numbers (\(St=0.1\) and 1) concentrate on the boundaries of the vortices, and the large particles (\(St=10\)) also assemble in the outer regions of the vortices under the influence of the vortex structures.

MSC:

76T15 Dusty-gas two-phase flows
76M28 Particle methods and lattice-gas methods

References:

[1] Park, J.; Matsubara, M.; Li, X., Application of lattice Boltzmann method to a micro-scale flow simulation in the porous electrode of a PEM fuel cell, J Power Sources, 173, 1, 404-414 (2007)
[2] Shan, X. W.; Chen, S. Y., Lattice Boltzmann model for simulating flows with multiple phases and components, Phys Rev E, 47, 3, 1815-1819 (1993)
[3] Succi, S., The lattice Boltzmann equation for fluid dynamics and beyond (2001), Oxford University Press: Oxford University Press New York · Zbl 0990.76001
[4] Pan, C.; Luo, L.; Miller, C. T., An evaluation of lattice Boltzmann schemes for porous medium flow simulation, Comput Fluids, 35, 898-909 (2006) · Zbl 1177.76323
[5] Han, K.; Feng, Y. T.; Owen, D. R.J., Coupled lattice Boltzmann and discrete element modeling of fluid-particle interaction problems, Comput Struct, 85, 1080-1088 (2007)
[6] Feng, Y. T.; Han, K.; Owen, D. R.J., Combined three-dimensional lattice Boltzmann method and discrete element method for modelling fluid-particle interactions with experimental assessment, Int J Numer Meth Eng, 81, 229-245 (2010) · Zbl 1183.76843
[7] Mei, R.; Shyy, W.; Yu, D.; Luo, L. S., Lattice Boltzmann method for 3-D flows with curved boundary, J Comput Phys, 161, 680-699 (2000) · Zbl 0980.76064
[8] Norberg, C., Fluctuating lift on a circular cylinder: review and new measurements, J Fluids Struct, 17, 1, 57-96 (2003)
[9] Ong, L.; Wallace, J., The velocity field of the turbulent very near wake of a circular cylinder, Exp Fluids, 20, 6, 441-453 (1996)
[10] Roshko A. On the drag and shedding frequency of two-dimensional bluff bodies. NACA Tech. note 3169; 1954.; Roshko A. On the drag and shedding frequency of two-dimensional bluff bodies. NACA Tech. note 3169; 1954.
[11] Morsi, S. A.; Alexander, A. J., An investigation of particle trajectories in two-phase flow systems, J Fluid Mech, 55, 2, 193-208 (1972) · Zbl 0244.76044
[12] Oertel, H. J., Wakes behind blunt bodies, Ann Rev Fluid Mech, 22, 539-564 (1990)
[13] Coutanceau, M.; Defaye, J. R., Circular cylinder wake configurations – a flow visualization survey, Appl Mech Rev, 44, 6, 255-305 (1991)
[14] Huang, Y. D.; Wu, W. Q.; Zhang, H. W., Numerical study of particle dispersion in the wake of gas-particle flows past a circular cylinder using discrete vortex method, Powder Technol, 162, 73-81 (2006)
[15] Luo, K.; Fan, J.; Li, W.; Cen, K., Transient, three-dimensional simulation of particle dispersion in flows around a circular cylinder (Re=140-260), Fuel, 88, 1294-1301 (2009)
[16] Qian, Y. H.; Dhumieres, D.; Lallemand, P., Lattice BGK models for Navier-Stokes equation, Europhys Lett, 17, 6BIS, 479-484 (1992) · Zbl 1116.76419
[17] Guo, Z. L.; Zheng, C. G.; Shi, B. C., Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method, Chin Phys, 11, 4, 366-374 (2002)
[18] Guo, Z. L.; Zheng, C. G.; Shi, B. C., An extrapolation method for boundary conditions in lattice Boltzmann method, Phys Fluids, 14, 6, 2007-2010 (2002) · Zbl 1185.76156
[19] Ladd, A. J.C., Numerical simulation of particulate suspensions via a discretized Boltzmann-equation. 1. Theoretical foundation, J Fluid Mech, 271, 285-309 (1994) · Zbl 0815.76085
[20] Mei, R. W.; Yu, D.; Shyy, W., Force evaluation in the lattice Boltzmann method involving curved geometry, Phys Rev E, 65, 4 (2002) · Zbl 1244.76102
[21] Clift, R.; Grace, J. R.; Weber, M. E., Bubbles, drops, and particles (1978), Academic Press: Academic Press New York
[22] Grant, G.; Tabakoff, W., Erosion prediction in turbomachinery resulting from environmental solid particles, J Aircraft, 12, 471 (1975)
[23] Calhoun, D., A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions, J Comput Phys, 176, 2, 231-275 (2002) · Zbl 1130.76371
[24] Silva, A. L.F. L.; Silveira-Neto, A.; Damasceno, J. J.R., Numerical simulation of two-dimensional flows over circular cylinder using the immersed boundary method, J Comput Phys, 189, 351-370 (2003) · Zbl 1061.76046
[25] Xu, S.; Wang, Z. J., An immersed interface method for simulating the interaction of a fluid with moving boundaries, J Comput Phys, 216, 2, 454-493 (2006) · Zbl 1220.76058
[26] Wang, Z.; Fan, J.; Cen, K., Immersed boundary method for the simulation of 2D viscous flow based on vorticity-velocity formulations, J Comput Phys, 228, 1504-1520 (2009) · Zbl 1252.76054
[27] Williamson, C. H.K., Three-dimensional wake transition, J Fluid Mech, 328, 345-407 (1996) · Zbl 0899.76129
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.