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Vibration of the bubble in bubbly liquids

Wang Yong Lin Shu-Yu Mo Run-Yang Zhang Xiao-Li

Vibration of the bubble in bubbly liquids

Wang Yong, Lin Shu-Yu, Mo Run-Yang, Zhang Xiao-Li
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  • The vibration of bubbles in bubbly liquids has been studied when the driving sound field is fixed. The radius of the bubble will change when the bubble is driven by a driving acoustic field for a short time. This small change of radius is then fed back to the scattering process of the bubbles driven by the driving acoustic field. Thus the compound acoustic field including the scattered field of the bubble can be obtained. Then the bubble is again driven into vibration for a short time. By repeating the same procedure, the bubble vibration and its radius variation are simulated by a numerical method. It is shown that in the case of numerous bubbles in the liquid the vibration of a bubble is different from the case of only a single bubble in it. Because numerous bubbles will show interactions between one another, the radius of the bubble will change in different manner. For different size and content of bubbles, the radius of the bubble changes according to the following rules. The radius will oscillate in the vicinity of the equilibrium position; the radius oscillation shows a periodic cavitation process; the radius will vibrate during one cycle of cavitation; then, the radius will increase and oscillate in the vicinity of a certain value. Therefore, it is necessary that the bubble content should be considered in analyzing the vibration of the bubble in a bubbly liquid under a driving sound field.
    • Funds: Project supported by the Innovation Funds of Graduate Programs, Shaanxi Normal University (Grant No. 2012CXB014) and the National Natural Science Foundation of China (Grant Nos. 11174192, 11274216).
    [1]

    Ashokkumar M 2011 UltrasonSonochem 18 864

    [2]

    Ashokkumar M, Lee J, Kentish J, Grieser F 2007 UltrasonSonochem 14 470

    [3]

    Chen W Z, Huang W, Liu Y N, Gao X X 2006 Sci Sin-Phys Mech Astron 36 113 (in Chinese) [陈伟中, 黄威, 刘亚楠, 高贤娴 2006 中国科学, 物理学, 力学, 天文学 textbf36 113]

    [4]

    Ying C F 2007 Sci. Sin. Phys. Mec. Astron 37 129 (in Chinese) [应崇福 2007 中国科学G辑: 物理学, 力学, 天文学 37 129]

    [5]

    An Y 2011 Sci. Sin. Phys. Mech. Astron 41 343 (in Chinese) [安宇 2011 中国科学: 物理学, 力学, 天文学 41 343]

    [6]

    Cavalieri F, Zhou M, Ashokkumar M 2010 Curr. Top. Med. Chem. 10 1198

    [7]

    Wu J, Nyborg W L 2008 Adv. Drug. Deliver. Rev. 60 1103

    [8]

    Shen Z Z, Lin S Y 2011 Acta Phys. Sin. 60 104302 (in Chinese) [沈壮志, 林书玉 2011 物理学报 60 104302]

    [9]

    Mettin R, Doinikov A A 2009 Appl. Acoust. 70 1330

    [10]

    Thiemann A, Nowak T, Mettin R, Holsteyns F, Lippert A 2011 Ultrason Sonochem 18 595

    [11]

    Luo X N, Zhao L J, Feng C Q, Su X Y, Zhang J J 2011 Journal of Engineering Thermophysics 32 17 (in Chinese) [罗贤能, 赵良举, 奉策强, 苏晓燕, 张佳佳 2011 工程热物理学报 32 17]

    [12]

    Neppiras E A, Noltingk B E 1951 Proc. Phys. Soc. B 64 1032

    [13]

    Merouani S, Hamdaoui O, Rezgui Y, Guemini M 2013 Ultrason. Sonochem 20 815

    [14]

    Brotchie A, Grieser F, Ashokkumar M 2009 Phys. Rev. Lett. 102 084302

    [15]

    Wu X J, Chahine G L 2010 J Hydrodyn. 22 330

    [16]

    Laakkonen M Honkanen M Saarenrinne P, Aittamaa J 2005 Chem. Eng. J 109 37

    [17]

    Lee J, Kentish S, Matula T J Ashokkumar M 2005 J. Phys. Chem. B 109 16860

    [18]

    Ashokkumar M, Lee J, Kentish S, Grieser F, Matula T J 2004 J. Acoust. Soc. Am 116 2541

    [19]

    Lee J, Kentish S Ashokkumar M 2005 J. Phys. Chem. B 109 14595

    [20]

    Qian Z W 1981 Acta Phys. Sin. 30 442 (in Chinese) [钱祖文 1981 物理学报 30 442]

    [21]

    Shen Z Z, Wu S J 2012 Acta Phys. Sin. 61 244301 (in Chinese) [沈壮志, 吴胜举 2012 物理学报 61 244301]

    [22]

    Prosperetti A, Lezzi A 1986 J. Fluid Mech. 168 457

    [23]

    Foldy L L 1945 Phys. Rev. 67 107

  • [1]

    Ashokkumar M 2011 UltrasonSonochem 18 864

    [2]

    Ashokkumar M, Lee J, Kentish J, Grieser F 2007 UltrasonSonochem 14 470

    [3]

    Chen W Z, Huang W, Liu Y N, Gao X X 2006 Sci Sin-Phys Mech Astron 36 113 (in Chinese) [陈伟中, 黄威, 刘亚楠, 高贤娴 2006 中国科学, 物理学, 力学, 天文学 textbf36 113]

    [4]

    Ying C F 2007 Sci. Sin. Phys. Mec. Astron 37 129 (in Chinese) [应崇福 2007 中国科学G辑: 物理学, 力学, 天文学 37 129]

    [5]

    An Y 2011 Sci. Sin. Phys. Mech. Astron 41 343 (in Chinese) [安宇 2011 中国科学: 物理学, 力学, 天文学 41 343]

    [6]

    Cavalieri F, Zhou M, Ashokkumar M 2010 Curr. Top. Med. Chem. 10 1198

    [7]

    Wu J, Nyborg W L 2008 Adv. Drug. Deliver. Rev. 60 1103

    [8]

    Shen Z Z, Lin S Y 2011 Acta Phys. Sin. 60 104302 (in Chinese) [沈壮志, 林书玉 2011 物理学报 60 104302]

    [9]

    Mettin R, Doinikov A A 2009 Appl. Acoust. 70 1330

    [10]

    Thiemann A, Nowak T, Mettin R, Holsteyns F, Lippert A 2011 Ultrason Sonochem 18 595

    [11]

    Luo X N, Zhao L J, Feng C Q, Su X Y, Zhang J J 2011 Journal of Engineering Thermophysics 32 17 (in Chinese) [罗贤能, 赵良举, 奉策强, 苏晓燕, 张佳佳 2011 工程热物理学报 32 17]

    [12]

    Neppiras E A, Noltingk B E 1951 Proc. Phys. Soc. B 64 1032

    [13]

    Merouani S, Hamdaoui O, Rezgui Y, Guemini M 2013 Ultrason. Sonochem 20 815

    [14]

    Brotchie A, Grieser F, Ashokkumar M 2009 Phys. Rev. Lett. 102 084302

    [15]

    Wu X J, Chahine G L 2010 J Hydrodyn. 22 330

    [16]

    Laakkonen M Honkanen M Saarenrinne P, Aittamaa J 2005 Chem. Eng. J 109 37

    [17]

    Lee J, Kentish S, Matula T J Ashokkumar M 2005 J. Phys. Chem. B 109 16860

    [18]

    Ashokkumar M, Lee J, Kentish S, Grieser F, Matula T J 2004 J. Acoust. Soc. Am 116 2541

    [19]

    Lee J, Kentish S Ashokkumar M 2005 J. Phys. Chem. B 109 14595

    [20]

    Qian Z W 1981 Acta Phys. Sin. 30 442 (in Chinese) [钱祖文 1981 物理学报 30 442]

    [21]

    Shen Z Z, Wu S J 2012 Acta Phys. Sin. 61 244301 (in Chinese) [沈壮志, 吴胜举 2012 物理学报 61 244301]

    [22]

    Prosperetti A, Lezzi A 1986 J. Fluid Mech. 168 457

    [23]

    Foldy L L 1945 Phys. Rev. 67 107

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  • Received Date:  07 March 2013
  • Accepted Date:  25 March 2013
  • Published Online:  05 July 2013

Vibration of the bubble in bubbly liquids

  • 1. Institute of Applied Acoustics, Shaanxi Normal University, Xi'an 710062, China
Fund Project:  Project supported by the Innovation Funds of Graduate Programs, Shaanxi Normal University (Grant No. 2012CXB014) and the National Natural Science Foundation of China (Grant Nos. 11174192, 11274216).

Abstract: The vibration of bubbles in bubbly liquids has been studied when the driving sound field is fixed. The radius of the bubble will change when the bubble is driven by a driving acoustic field for a short time. This small change of radius is then fed back to the scattering process of the bubbles driven by the driving acoustic field. Thus the compound acoustic field including the scattered field of the bubble can be obtained. Then the bubble is again driven into vibration for a short time. By repeating the same procedure, the bubble vibration and its radius variation are simulated by a numerical method. It is shown that in the case of numerous bubbles in the liquid the vibration of a bubble is different from the case of only a single bubble in it. Because numerous bubbles will show interactions between one another, the radius of the bubble will change in different manner. For different size and content of bubbles, the radius of the bubble changes according to the following rules. The radius will oscillate in the vicinity of the equilibrium position; the radius oscillation shows a periodic cavitation process; the radius will vibrate during one cycle of cavitation; then, the radius will increase and oscillate in the vicinity of a certain value. Therefore, it is necessary that the bubble content should be considered in analyzing the vibration of the bubble in a bubbly liquid under a driving sound field.

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