相互碰撞的圆粒子在竖直通道中沉降的数值研究

王叶龙

相互碰撞的圆粒子在竖直通道中沉降的数值研究

王叶龙

浙江大学力学系,流体传动及控制国家重点实验室,杭州 310027

基金项目: 教育部高等学校博士学科点专项科研基金资助项目(20030335001)

详细信息

作者简介:
王叶龙(1978- ),男,安徽人,博士(Tel:+86-571-87952221;E-mail:wyl@zju.edu.cn).

中图分类号: O359⁺.2
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- 被引次数: 0
出版历程
- 收稿日期: 2004-08-21
- 修回日期: 2006-04-04
- 刊出日期: 2006-07-15

Simulation of the Sedimentation of Two Circular Particles With Collision Considered in a Vertical Channel

WANG Ye-long

Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China

摘要

摘要: 采用格子Boltzmann方法，数值模拟了考虑相互碰撞的两圆粒子的沉降，分析了Re数、初始相对位移及通道宽度对粒子沉降的影响．结果表明，在0.1＜Re＜20范围内，粒子沉降具有周期性．Re数越大，两圆粒子的相互作用越强，粒子横向位移的幅度也越大．在大Re数时，沉降的过程是两个粒子交替领先；在较小Re数时，当后面的粒子接近的时候，领先的粒子被向右侧推了一段后仍会继续领先；对中等Re数，原先在后面的粒子在第一次加速后将取得领先位置并一直保持下去．粒子的初始分布位置对沉降的形态影响不大．管道宽度变化时，粒子总的沉降特性不变，而周期改变，管道越宽，周期越长．
- 格子Boltzmann方程 /
- 沉降 /
- 碰撞 /
- 圆粒子
Abstract: D2Q9 model of Lattice Boltzmann equation method was used to simulate the sedimentation of two circular particles in a bounded two dimension channel. The characteristics of the sedimentation shows some periodicity for the Reynolds number Re chosen, 0.1~20. The larger the Reynolds number, the stronger the interaction between the two particles and the larger the transversal displacements. For large Re, the two particles leading alternately; for small Re, the initially leading particle will keep its leading position and for moderate Re, the initially upper particle will get leading position and keep it. The influence of the initially relative position of the two particles on sedimentation is small. The width of the channel won't change the characteristics of the sedimentation as a whole, but will change the period of the sedimentation. The wider the channel, the longer the period will be.
- lattice-Boltzmann equation /
- sedimentation /
- collision /
- circular particle

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参考文献(10)

[1]	Feng J, Hu H H, Joseph D D. Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. part 1. Sedimentation[J].J Fluid Mech,1994,261(1):95—134. doi: 10.1017/S0022112094000285
[2]	Qi D W. Lattice-Boltzmann simulations of particles in no-zero-Reynolds-number flows[J].J Fluid Mech,1999,385(1):41—62. doi: 10.1017/S0022112099004401
[3]	Pantaka N A, Singh P, Joseph D D,et al. A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows[J].Int J Multiphase Flow,2000,26(9):1509—1524. doi: 10.1016/S0301-9322(99)00100-7
[4]	SHAO Xue-ming,LIN Jian-zhong,YU Zhao-sheng.Sedimentation of a single particle between two parallel walls[J].J of Zhejiang University Science,2004,5(1):111—116. doi: 10.1631/jzus.2004.0111
[5]	LIN Jian-zhong,SHI Xing,YOU Zhen-jiang.Effects of the aspect ratio on the sedimentation of a fiber in Newtonian fluids[J].J Aerosol Sci,2003,34(7):909—921. doi: 10.1016/S0021-8502(03)00039-9
[6]	LIN Jian-zhong,SHAO Xue-ming,SHI Xing,et al.Study on the interaction of sedimenting cylindrical particles in still fluid[J].Acta Mechanica Sinica,2004,20(1):33—45.
[7]	Ladd J C. Numerical simulation of particulate suspension via discrete lattice Boltzmann equation.part 2: Numerical results[J].J Fluid Mech,1994,271(1):311—339. doi: 10.1017/S0022112094001783
[8]	WANG Ye-long,LIN Jian-zhong.Numerical simulation of two elliptical particles sedimentation with inertial using lattice Boltzmann method[A].In:Recent Advances in Fluid Mechanics[C].Beijing: Tsinghua University Press & Springer-Verlag,2004,757—761.
[9]	Chen H, Chen S Y, Matthaeus W H. Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method[J].Phys Rev A,1992,45(8):5339—5342. doi: 10.1103/PhysRevA.45.R5339
[10]	Clift R,Grace R J,Weber M E.Bubble, Drops, and Particles[M].New York :Academic Press, 1978.