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Based on the Lagrange's equation, the dynamic equations and shape mode equations of two bubbles with nonspherical distortion are obtained. The radial oscillations and shape instabilities of two bubbles with nonspherical distortion in an acoustic field are numerically investigated. The numerical results show that there are two coupled modes between two nonspherical bubbles: shape coupled mode and radial coupled mode. The coupled modes between two nonspherical bubbles depend on the shape modes of two bubbles. When the shape mode of the first bubble is equal to that of the second bubble (n=m), the shape coupled mode and radial coupled mode both exist. The interaction force between bubbles is caused by these two coupled modes. If the two bubbles have different shape mode orders (n m), there is a radially coupled mode between two bubbles. The interaction force between two bubbles is caused by radially coupled mode. The interaction caused by the radial coupling and shape coupling has an influence on the instability of gas bubble. The influencing factors depend on the shape mode, the equilibrium radius of neighboring bubble, and the driving acoustic field. The results demonstrate that the shape coupling can change the severity of the collapse of a gas bubble, and increase the ability of a gas bubble to resist distortion under a certain condition. The nonspherical disturbance of a real bubble in an acoustic field is not a single shape mode, but the coupling of different shape modes, so the shape coupling has an obvious influence on the shape instability of a real bubble. These may be the reason why bubbles can form some stable structures and keep stable oscillations in an acoustic field.
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Keywords:
- bubbles /
- nonspherical disturbances /
- shape coupled mode /
- Lagrange's equation
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[5] Leong T, Yasui K, Kato K, Harvie D, Ashokkumar M, Kentish S 2014 Phys. Rev. E 89 043007
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[8] Reddy A J, Szeri A J 2002 Phys. Fluids 14 2216
[9] Harkin A A, Kaper T J, Nadim A 2013 Phys. Fluids 25 062101
[10] Plesset M S 1954 J. Appl. Phys. 25 96
[11] Brenner M P, Lohse D, Dupont T F 1995 Phys. Rev. Lett. 75 954
[12] Bogoyavlenskiy V A 2000 Phys. Rev. E 62 2158
[13] Wang W J, Chen W Z 2003 J. Acoust. Soc. Am. 114 1898
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[15] Qian M L, Cheng Q, Ge C Y 2002 Acta Acust. 27 289 (in Chinese) [钱梦騄, 程茜, 葛曹燕 2002 声学学报 27 289]
[16] Hilgenfeldt S, Lohse D, Brenner M P 1996 Phys. Fluids 8 2808
[17] Godinez F A, Navarrete M 2011 Phys. Rev. E 84 016312
[18] Ueno I, Ando J, Koiwa Y, Saiki T, Kaneko T 2015 Eur. Phys. J. Special Topics 224 415
[19] Lu Y, Katz J, Prosperetti A 2013 Phys. Fluids 25 073301
[20] Ida M, Naoe T, Futakawa M 2007 Phys. Rev. E 76 046309
[21] Zhang W J, An Y 2013 Phys. Rev. E 87 053023
[22] Hens A, Biswas G, De S 2014 Phys. Fluids 26 012105
期刊类型引用(6)
1. 张心怡，吴文华，王建元，张颖，翟薇，魏炳波. 超声场中气泡运动规律及其与枝晶相互作用机制. 物理学报. 2024(18): 179-190 . 
百度学术2. 吴文华，翟薇，王建元，魏炳波. 超声场中液体材料的空化和声流动力学研究进展. 中国科学:技术科学. 2023(01): 2-27 . 百度学术3. 许龙，汪尧. 双泡耦合声空化动力学过程模拟. 物理学报. 2023(02): 159-165 . 百度学术4. 吴学由，梁金福. 超声场中单气泡的平移和非球形振动. 物理学报. 2021(18): 195-202 . 百度学术5. 赵小刚，杨浩然，张琪，程琳，张翔宇，王凤龙，段丞博，卓伟，徐春龙，侯兆阳. 垂直振动水柱中气泡下沉机理. 物理学报. 2020(24): 191-199 . 百度学术6. 蔡晨亮，屠娟，郭霞生，章东. 包膜黏弹特性及声驱动参数对相互作用微泡动力学行为的影响. 声学学报. 2019(04): 772-779 . 百度学术其他类型引用(7)
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[1] Crum L A 1994 J. Acoust. Soc. Am. 95 559
[2] Gaitan D F, Crum L A, Church C C, Roy R A 1992 J. Acoust. Soc. Am. 91 3166
[3] Holot R G, Gaitan D F 1996 Phys. Rev. Lett. 77 3791
[4] Zhang S G, Duncan J H 1994 Phys. Fluids 6 2352
[5] Leong T, Yasui K, Kato K, Harvie D, Ashokkumar M, Kentish S 2014 Phys. Rev. E 89 043007
[6] Pelekasis N A, Tsamopouslos J A 1990 Phys. Fluids A 2 1328
[7] Feng Z C, Leal L G 1997 Annu. Rev. Fluid Mech. 29 201
[8] Reddy A J, Szeri A J 2002 Phys. Fluids 14 2216
[9] Harkin A A, Kaper T J, Nadim A 2013 Phys. Fluids 25 062101
[10] Plesset M S 1954 J. Appl. Phys. 25 96
[11] Brenner M P, Lohse D, Dupont T F 1995 Phys. Rev. Lett. 75 954
[12] Bogoyavlenskiy V A 2000 Phys. Rev. E 62 2158
[13] Wang W J, Chen W Z 2003 J. Acoust. Soc. Am. 114 1898
[14] Liu H J, An Y 2003 Acta Phys. Sin. 52 620 (in Chinese) [刘海军, 安宇 2003 物理学报 52 620]
[15] Qian M L, Cheng Q, Ge C Y 2002 Acta Acust. 27 289 (in Chinese) [钱梦騄, 程茜, 葛曹燕 2002 声学学报 27 289]
[16] Hilgenfeldt S, Lohse D, Brenner M P 1996 Phys. Fluids 8 2808
[17] Godinez F A, Navarrete M 2011 Phys. Rev. E 84 016312
[18] Ueno I, Ando J, Koiwa Y, Saiki T, Kaneko T 2015 Eur. Phys. J. Special Topics 224 415
[19] Lu Y, Katz J, Prosperetti A 2013 Phys. Fluids 25 073301
[20] Ida M, Naoe T, Futakawa M 2007 Phys. Rev. E 76 046309
[21] Zhang W J, An Y 2013 Phys. Rev. E 87 053023
[22] Hens A, Biswas G, De S 2014 Phys. Fluids 26 012105
期刊类型引用(6)
1. 张心怡，吴文华，王建元，张颖，翟薇，魏炳波. 超声场中气泡运动规律及其与枝晶相互作用机制. 物理学报. 2024(18): 179-190 . 百度学术2. 吴文华，翟薇，王建元，魏炳波. 超声场中液体材料的空化和声流动力学研究进展. 中国科学:技术科学. 2023(01): 2-27 . 百度学术3. 许龙，汪尧. 双泡耦合声空化动力学过程模拟. 物理学报. 2023(02): 159-165 . 百度学术4. 吴学由，梁金福. 超声场中单气泡的平移和非球形振动. 物理学报. 2021(18): 195-202 . 百度学术5. 赵小刚，杨浩然，张琪，程琳，张翔宇，王凤龙，段丞博，卓伟，徐春龙，侯兆阳. 垂直振动水柱中气泡下沉机理. 物理学报. 2020(24): 191-199 . 百度学术6. 蔡晨亮，屠娟，郭霞生，章东. 包膜黏弹特性及声驱动参数对相互作用微泡动力学行为的影响. 声学学报. 2019(04): 772-779 . 百度学术其他类型引用(7)
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