二维平板间驻波声流的MRT-LBM数值研究  

MRT-LBM Analysis of Acoustic Streaming in Standing Waves Between Two-dimensional Flat Plates

作　　者：周天 李学敏[1] 刘峰[1] 

机构地区：[1]华中科技大学能源与动力工程学院

出　　处：《计算物理》2018年第1期39-46,共8页Chinese Journal of Computational Physics

基　　金：湖北省自然科学基金(2015CFB628)资助项目

摘　　要：采用多松弛时间格子玻尔兹曼方法（Multiple Relaxation Time Lattice Boltzmann Method,MRT-LBM）对二维平板间的驻波声流进行数值模拟,模拟结果与Rayleigh流近似解析解相符,研究黏度和板间宽度对驻波声流的影响,得到不同黏度下x=L/4截面无量纲水平速度分布和x=L/2截面无量纲竖直速度分布,板间宽度对边界层内声流区域厚度的影响及驻波声流的形成过程,结果表明MRT-LBM模型能有效模拟驻波声流效应.Acoustic streaming generated by standing waves between two-dimensional flat plates is analyzed based on multiple relaxation time lattice Boltzmann method（MRT-LBM）.Simulation results are in good agreement with approximate analytical solutions of Rayleigh streaming.Effects of viscosity and width between two plates on acoustic streaming in standing waves are studied.Dimensionless velocity distributions of x component with different viscosity at x=L/4 and dimensionless velocity distributions of y component with different viscosity at x=L/2,and effects of widths on boundary layer vortex thickness and formation progress of acoustic streaming in standing waves are revealed.It demonstrates availability of MRT-LBM model in simulating acoustic streaming in standing waves.

关 键 词：格子玻尔兹曼方法 驻波 Rayleigh流 边界层 

分 类 号：O38[理学—流体力学]