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In this paper, the interaction between elastic particle and cavitation bubble is considered, the expression of microstreaming velocity and shear stress around the elastic particle are derived by using the theory of acoustic scattering. Taking into account the two predominant modes of elastic particle: n = 0 mode and n = 1 mode, the effects of the distance and the ratio of the radius and the relative position on microstreaming distribution, and the effects of the particle radius and the driving frequency on shear stress distribution are investigated. It is demonstrated that the interaction can increase the amplitude of microstreaming velocity, especially the tangential component of microstreaming velocity, and the shear stress. As the distance between elastic particle and cavitation bubble increases, the interaction weakens and the amplitude of the microstreaming velocity around the elastic particle decreases. When the bubble is in resonance, the microstreaming velocity around the elastic particle is significantly enhanced. The shear stress of the particle is affected by the particle radius and the frequency of sound field. As the particle radius and the frequency of sound field are larger, the external scattering sound becomes stronger and the amplitude of shear stress on the surface of particles turns larger.
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Keywords:
- elastic particle /
- cavitation bubble /
- microstreaming /
- acoustic scattering
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Wu Y R, Wang C H, Chen S 2017 J. Nanjing Univ. (Nat. Sci. Ed.) 53 1
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图 1 简化模型
Figure 1. Geometry of the model.
图 2
${\theta _1}$ 对弹性粒子壁面流速场分布影响 (a)$n = 0$ 模式; (b)$n = 1$ 模式Figure 2. Streaming as a function of
${\theta _1}$ : (a)$n = 0$ mode; (b)$n = 1$ mode.
图 5 弹性粒子壁面的剪应力分布 (a)与(b)初始半径分别为7.5, 15, 30 μm; (c)与(d)驱动频率分别为80, 100, 120 kHz
Figure 5. Shear stresses versus
${\theta _1}$ : (a) and (b) The radius is equal to 7.5, 15, 30 μm; (c) and (d) the driving frequency is equal to 80, 100, 120 kHz.
图 3
${{{r_1}} / {{R_1}}}\;\left( {\theta = {{\text{π}} / 4}} \right)$ 和${{D'} / {{R_1}}}\;(D' = D - {R_1} - {R_2}, {\theta _1} = {{\text{π}} / 4})$ 对弹性粒子壁面微流分布影响 (a)与(c)$n = 0$ 模式; (b)与(d)$n = 1$ 模式Figure 3. Streaming as a function of
${{{r_1}} / {{R_1}}}$ $\left( {\theta = {{\text{π}} / 4}} \right)$ and${{D'} / {{R_1}}}\;(D' = D - {R_1} - {R_2}, {\theta _1} = {{\text{π}} / 4})$ : (a) and (c)$n = 0$ mode; (b) and (d)$n = 1$ mode.
图 4
${{{R_2}} / {{R_1}}}\;({\theta _1} = {{\text{π}} / 4})$ 对弹性粒子壁面微流分布影响 (a)$n = 0$ 模式; (b)$n = 1$ 模式Figure 4. Streaming as a function of
${{{R_2}} / {{R_1}}}\;({\theta _1} = {{\text{π}} / 4}):$ (a)$n = 0$ mode; (b)$n = 1$ mode.
图 6 声流速度的矢量分布图
Figure 6. Distribution of streaming velocity vector.
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[1] Rayleigh L 1917 Philos. Mag. 34 94
Google Scholar
[2] Marberger M, Stackl W, Hruby W, Wurster H, Schnedl W 1985 World J. Urol. 3 27
Google Scholar
[3] 梁金福, 陈伟中, 邵纬航, 周超, 杜联芳, 金利芳 2013 62 084708
Google Scholar
Liang J F, Chen W Z, Shao W H, Zhou C, Du L F, Jin L F 2013 Acta Phys. Sin. 62 084708
Google Scholar
[4] 于洁, 郭霞生, 屠娟, 章东 2015 64 094306
Google Scholar
Yu J, Guo X S, Tu J, Zhang D 2015 Acta Phys. Sin. 64 094306
Google Scholar
[5] Kolb J, Nyborg W L 1956 J. Acoust. Soc. Am. 28 1237
Google Scholar
[6] 吴文华, 翟薇, 胡海豹, 魏炳波 2017 66 194303
Google Scholar
Wu W H, Zhai W, Hu H B, Wei B B 2017 Acta Phys. Sin. 66 194303
Google Scholar
[7] Elder, Samuel A 1959 J. Acoust. Soc. Am. 31 54
Google Scholar
[8] Wu J R, Du G H 1997 J. Acoust. Soc. Am. 101 1899
Google Scholar
[9] Liu X Z, Wu J R 2009 J. Acoust. Soc. Am. 125 1319
Google Scholar
[10] Doinikov A A, Bouakaz A 2010 J. Acoust. Soc. Am. 127 1218
Google Scholar
[11] Doinikov A A, Bouakaz A 2010 J. Acoust. Soc. Am. 127 703
Google Scholar
[12] Manasseh R, Tho P, Ooi A, Petkovic-Duran K, Zhu Y 2010 Phys. Procedia 3 427
Google Scholar
[13] Collis J, Manasseh R, Liovic P, Tho P, Ooi A, Petkovic-Duran K, Zhu Y 2010 Ultrasonics 50 273
Google Scholar
[14] Doinikov A A, Bouakaz A 2016 J. Fluid Mech. 796 318
Google Scholar
[15] Doinikov A A, Ayache B 2014 J. Fluid Mech. 742 425
Google Scholar
[16] Tho P, Manasseh R, Ooi A 2007 J. Fluid Mech. 122 191
Google Scholar
[17] Wang L, Tu J, Guo X S, Xu D, Zhang D 2014 Chin. Phys. B 23 124302
Google Scholar
[18] Wang C, Cheng J 2013 J. Acoust. Soc. Am. 134 1675
Google Scholar
[19] 武耀蓉, 王成会, 莫润阳, 陈时 2017 陕西师范大学学报(自然科学版) 45 50
Wu Y R, Wang C H, Mo R Y, Chen S 2017 J. Shaanxi Normal Univ. (Nat. Sci. Ed.) 45 50
[20] 武耀蓉, 王成会, 陈时 2017 南京大学学报 (自然科学版) 53 1
Wu Y R, Wang C H, Chen S 2017 J. Nanjing Univ. (Nat. Sci. Ed.) 53 1
[21] Hasegawa T, Ochi M, Matsuzawa K 1969 J. Acoust. Soc. Am. 46 1139
Google Scholar
[22] L in, Wen H 1983 J. Acoust. Soc. Am. 73 736
Google Scholar
[23] Li S, Han R, Zhang A M 2016 J. Fluid. Struct. 65 333
Google Scholar
[24] Shi J, Yang D S, Zhang H Y, Shi S G, Li S, Hu B 2017 Chin. Phys. B 26 074301
Google Scholar
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