二维平板间驻波声流的MRT-LBM数值研究

doi:10.19596/j.cnki.1001-246x.7558

计算物理 ›› 2018, Vol. 35 ›› Issue (1): 39-46.DOI: 10.19596/j.cnki.1001-246x.7558

二维平板间驻波声流的MRT-LBM数值研究

周天, 李学敏, 刘峰

华中科技大学能源与动力工程学院, 武汉 430074

收稿日期:2016-10-19 修回日期:2016-12-19 出版日期:2018-01-25 发布日期:2018-01-25
通讯作者: 李学敏(1977-),男,副教授,E-mail:xmli@mail.hust.edu.cn
作者简介:周天(1990-),男,硕士研究生,研究方向:超声波微流体驱动,E-mail:sundayzt@163.com
基金资助:
湖北省自然科学基金（2015CFB628）资助项目

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

ZHOU Tian, LI Xuemin, LIU Feng

School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2016-10-19 Revised:2016-12-19 Online:2018-01-25 Published:2018-01-25

摘要/Abstract

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.

关键词: 格子玻尔兹曼方法, 驻波, Rayleigh流, 边界层

Abstract: 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.

Key words: LBM, standing waves, Rayleigh streaming, boundary layer

中图分类号:

周天, 李学敏, 刘峰. 二维平板间驻波声流的MRT-LBM数值研究[J]. 计算物理, 2018, 35(1): 39-46.

ZHOU Tian, LI Xuemin, LIU Feng. MRT-LBM Analysis of Acoustic Streaming in Standing Waves Between Two-dimensional Flat Plates[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 35(1): 39-46.

参考文献

[1] LIGHEHILL J. Acoustic streaming[J]. Journal of Sound and Vibration, 1978, 61(3):391-418.
[2] WIKLUND M, GREEN R, OHLIN M. Acoustofluidics 14:Applications of acoustic streaming in microfluidic devices[J]. Lab on a Chip, 2012, 12(14):2438-2451.
[3] FARADAY M. On a peculiar class of acoustical figures; and on certain forms assumed by groups of particles upon vibrating elastic surfaces[J]. Philosophical Transactions of the Royal Society of London, 1831, 121(1831):299-340.
[4] RAYLEIGH L. On the circulation of air observed in Kundt's tubes, and on some allied acoustical problems[J]. Philosophical Transactions of the Royal Society of London, 1884, 175(1844):1-21.
[5] NYBORG W L. Acoustic streaming[J]. Physical Acoustics, 1965, 2(Pt B):265-331.
[6] NYBORG W L. Acoustic streaming near a boundary[J]. The Journal of the Acoustical Society of America, 1958, 30(4):329-339.
[7] SCHLICHTING H. Berechnung ebener periodischer Grenzs-chichtströmungen[J]. Phys Z, 1932, 33(1932):327-335.
[8] ECKART C. Vortices and streams caused by sound waves[J]. Physical Review, 1948, 73(1):68-76.
[9] HAMILTON M F, ILINSKⅡ Y A, ZABOLOTSKAYA E A. Acoustic streaming generated by standing waves in two-dimen-sional channels of arbitrary width[J]. The Journal of the Acoustical Society of America, 2003, 113(1):153-160.
[10] FRAMPTON K D, MARTIN S E, MINOR K. The scaling of acoustic streaming for application in micro-fluidic devices[J]. Applied Acoustics, 2003, 64(7):681-692.
[11] NGUYEN N T, WHITE R M. Acoustic streaming in micromachined flexural plate wave devices:Numerical simulation and experimental verification[J]. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2000, 47(6):1463-1471.
[12] HAGSÄTER S M, JENSEN T G, BRUUS H, et al. Acoustic resonances in microfluidic chips:Full-image micro-PIV experiments and numerical simulations[J]. Lab on a Chip, 2007, 7(10):1336-1344.
[13] SATHAYE A, LAL A. Numerical simulation of acoustic streaming near embedded microstructures inside microfluidic channels[C]//Ultrasonics Symposium, Proceedings IEEE, 2002, 1:539-542.
[14] 冯和英, 张晓青, 彭叶辉, 陈焕新. 二维谐振腔内声流的气-动格式模拟[J]. 工程热物理学报, 2014, 35(2):233-237.
[15] HAYDOCK D, YEOMANS J M. Lattice Boltzmann simulations of acoustic streaming[J]. Journal of Physics A:Mathematical and General, 2001, 34(25):5201-5213.
[16] HAYDOCK D, YEOMANS J M. Lattice Boltzmann simulations of attenuation-driven acoustic streaming[J]. Journal of Physics A:Mathematical and General, 2003, 36(20):5683-5694.
[17] 邓义求, 唐政, 董宇红. 格子Boltzmann方法应用于气动声学研究[J]. 计算物理, 2013, 30(6):808-814.
[18] SALOMONS E M, LOHMAN W J A, ZHOU H. Simulation of sound waves using the lattice Boltzmann method for fluid flow:Benchmark cases for outdoor sound propagation[J]. PloS one, 2016, 11(1):e0147206.
[19] MARIÉ S, RICOT D, SAGAUT P. Comparison between lattice Boltzmann method and Navier-Stokes high order schemes for computational aeroacoustics[J]. Journal of Computational Physics, 2009, 228(4):1056-1070.
[20] D'HUMIERES D. Generalized lattice-Boltzmann equations[J]. Rarefied Gas Dynamics:Theory and Simulations, 1992, 159(1992):450-458.
[21] LALLEMAND P, LUO L S. Theory of the lattice Boltzmann method:Dispersion, dissipation, isotropy, Galilean invariance, and stability[J]. Physical Review E, 2000, 61(6):6546-6562.
[22] MOHAMAD A A. Lattice Boltzmann method:Fundamentals and engineering applications with computer codes[M]. Springer Science & Business Media, 2011:101-104.
[23] 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, 2009:46-56.
[24] 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(1):285-309.
[25] ZOU Q, HE X. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model[J]. Physics of Fluids (1994-present), 1997, 9(6):1591-1598.
[26] BOLURIAAN S, MORRIS P. Acoustic streaming:From Rayleigh to today[J]. International Journal of Aeroacoustics, 2003, 2(3):255-292.

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

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

作者中心

审稿中心

期刊浏览

期刊介绍

[1]	张浏斌, 单彦广, 戎志成. 基于LBM的均匀电场池沸腾单气泡动力学模拟[J]. 计算物理, 2022, 39(5): 537-548.
[2]	郑江韬, 贾宁洪, 胡慧芳, 杨勇, 鞠杨, 王沫然. 分支通道内液-液自发渗吸规律研究[J]. 计算物理, 2021, 38(5): 543-554.
[3]	薛社生, 李守先. 正冲击波后固壁表面颗粒的上升运动[J]. 计算物理, 2021, 38(3): 280-288.
[4]	周志超, 许凌飞, 任天荣, 顾村锋. 基于GCV-FFT方法的超声速压缩拐角流场气动光学效应计算[J]. 计算物理, 2020, 37(3): 284-298.
[5]	王子墨, 李凌. 超短激光打孔中快速相变的格子玻尔兹曼模拟[J]. 计算物理, 2020, 37(3): 299-306.
[6]	连小龙, 陈岳, 李培生, 张莹, 李伟, 刘强. 基于MRT-LB伪势模型的液滴撞击液膜数值研究[J]. 计算物理, 2020, 37(1): 79-87.
[7]	蔡林峰, 李昊歌, 陈伟芳. 无限展长后掠翼边界层定常横流不稳定转捩分析[J]. 计算物理, 2019, 36(2): 175-181.
[8]	罗祝清, 娄钦, 徐洪涛, 杨茉. 热质双扩散与流固共轭传热及吸附的LBM模拟[J]. 计算物理, 2019, 36(1): 60-68.
[9]	潘宏禄, 李俊红, 程晓丽, 马汉东. 气动光学效应湍流脉动模型系数修正[J]. 计算物理, 2018, 35(2): 194-204.
[10]	李为君, 张云伟, 顾兆林, 段翠娥, 张力元, LU Weizhen Jane. 时变来流条件下大气边界层流动大涡模拟[J]. 计算物理, 2016, 33(6): 691-697.
[11]	田虓丰, 程林松, 曹仁义, 安娜, 张苗怡, 王翊民. 致密油藏微纳米喉道中的边界层特征[J]. 计算物理, 2016, 33(6): 717-725.
[12]	潘宏禄, 关发明, 袁湘江, 卜俊辉. 高超声速平板边界层/圆柱粗糙元非定常干扰[J]. 计算物理, 2015, 32(5): 537-544.
[13]	田虓丰, 程林松, 李春兰, 李彩云, 张苗怡, 蒋丽维, 侯涛, 李秋, 汪翰林. 致密油藏液测应力敏感性计算模型[J]. 计算物理, 2015, 32(3): 334-342.
[14]	陈林, 袁湘江. 转捩边界层中的上喷下扫运动[J]. 计算物理, 2013, 30(1): 53-60.
[15]	谷岩, 张耀明, 李功胜. 精确几何单元下弹性薄体结构问题的边界元法分析[J]. 计算物理, 2011, 28(3): 397-403.