Lattice Boltzmann Simulation of Capture on a Vibrating Cylinder

Abstract

Abstract: Capture on a vibrating cylinder is simulated. Flow field is obtained with lattice Boltzmann method combined multi-block lattice Boltzmann method. Motion of single particle is calculated with Langevin equation by Lagrange integration. Drag force and Brownian diffusion is considered only. Cylinder does harmonic motion in flow direction with various frequency and amplitude at Re=200. As a result, different flow pattern present. We found capture efficiency raises. Especially at AⅢ vortex pattern, distribution of initial position deviates from center.

Key words: lattice Boltzmann method, vibrating cylinder, particle capture, Lagrange tracking method

CLC Number:

O359

ZHANG Haolong, TAO Shi, GUO Zhaoli. Lattice Boltzmann Simulation of Capture on a Vibrating Cylinder[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(3): 311-321.

References

[1] LEE K W, LIU B Y H. Experimental study of aerosol filtration by fibrous filters[J]. Aerosol Science and Technology, 1981, 1(1):35-46.
[2] HADDADI H, SHOJAEI-ZADEH S, CONNINGTON K, et al. Suspension flow past a cylinder:particle interactions with recirculating wakes[J]. Journal of Fluid Mechanics, 2014, 760:R2.
[3] 方鑫, 李珊红, 李彩亭,等. 布袋过滤除尘中气固两相流的格子Boltzmann模拟[J]. 环境工程学报, 2013,7(5):1883-1888.
[4] MENG X, WANG L, GUO Z.Lattice Boltzmann simulation on carbonation of CaO with CO₂[J].Chinese Journal of Computational Physics, 2014,31(2):173-184.
[5] WANG H, ZHAO H, ZHENG C. Two-way coupling lattice Boltzmann model for gas-particle turbulent flows[J]. Chinese Journal of Computational Physics, 2013, 30(1):19-26.
[6] HONG N, LI T, LI Q, SHI B. Lattice Boltzmann simulation of multiphase flows in a square cavity[J]. Chinese Journal of Computational Physics, 2013, 30(4):520-526.
[7] NIE D, ZHENG M, ZHANG K. LB-DF/FD simulation of a drop-shaped particle in two dimensions settling in a vertical channel[J]. Chinese J Comput Phys, 2013,30(6):815-824.
[8] FILIPPOVA O, HÄNEL D. Lattice-Boltzmann simulation of gas-particle flow in filters[J]. Computers & Fluids, 1997, 26(7):697-712.
[9] ZARUTSKAYA T, SHAPIRO M. Capture of nanoparticles by magnetic filters[J]. Journal of Aerosol Science, 2000, 31(8):907-921.
[10] LANTERMANN U, HÄNEL D. Particle Monte Carlo and lattice-Boltzmann methods for simulations of gas-particle flows[J]. Computers & Fluids, 2007, 36(2):407-422.
[11] MASSELOT A, CHOPARD B. A lattice Boltzmann model for particle transport and deposition[J]. Europhys Lett, 1998, 42:259-264.
[12] 蔡新桃, 郭照立, 郑林, 等. 方腔内微细颗粒物运动特性的格子Boltzmann方法模拟[J]. 计算物理, 2011, 28(3):355-360.
[13] 王浩明, 赵海波, 郭照立, 等. 基于格子波尔兹曼气固两相流模型的清洁纤维捕集颗粒过程模拟[J]. 中国电机工程学报, 2012, 32(11):66-71.
[14] 王浩明. 格子Boltzmann气固两相流模型及纤维捕集颗粒过程的数值模拟[D].武汉:华中科技大学,2013.
[15] YAO J, ZHAO Y, HU G, et al. Numerical simulation of particle dispersion in the wake of a circular cylinder[J]. Aerosol Science and Technology, 2009, 43(2):174-187.
[16] BRANDON D J, AGGARWAL S K. A numerical investigation of particle deposition on a square cylinder placed in a channel flow[J]. Aerosol Science & Technology, 2001, 34(4):340-352.
[17] HAUGEN N E L, KRAGSET S. Particle impaction on a cylinder in a crossflow as function of Stokes and Reynolds numbers[J]. Journal of Fluid Mechanics, 2010, 661:239-261.
[18] ESPINOSA A, GHISALBERTI M, ⅣEY G, et al. Numerical simulation of particle capture by circular cylinders[C]. 17th Australasian Fluid Mechanics Conference, 2010.
[19] KRICK J, ACKERMAN J D. Adding ecology to particle capture models:Numerical simulations of capture on a moving cylinder in crossflow[J]. Journal of Theoretical Biology, 2015, 368:13-26.
[20] 郭照立, 郑楚光. 格子Boltzmann方法的原理及应用[M]. 北京:科学出版社, 2009.
[21] HE X, LUO L S. Lattice Boltzmann model for the incompressible Navier-Stokes equation[J]. Journal of Statistical Physics, 1997, 88(3-4):927-944.
[22] LADD A J C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation[J]. Journal of Fluid Mechanics, 1994, 271:285-309.
[23] LADD A J C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results[J]. Journal of Fluid Mechanics, 1994, 271:311-339.
[24] 龚帅, 郭照立. 流向振荡纤维绕流的格子Boltzmann方法模拟[J]. 力学学报, 2011, 43(1):11-17.
[25] AIDUN C K, LU Y. Lattice Boltzmann simulation of solid particles suspended in fluid[J]. Journal of Statistical Physics, 1995, 81(1-2):49-61.
[26] YU D, MEI R, SHYY W. A multi-block lattice Boltzmann method for viscous fluid flows[J]. International Journal for Numerical Methods in Fluids, 2002, 39(2):99-120.
[27] CHEN S, CHEUNG C S, CHAN C K, et al. Numerical simulation of aerosol collection in filters with staggered parallel rectangular fibres[J]. Computational Mechanics, 2002, 28(2):152-161.
[28] 何雅玲,王勇,李庆. 格子Boltzmann方法的理论及应用[M]. 北京:科学出版社, 2009.