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The suspension of liquid drops provides a preferable boundary condition for investigating various free surface phenomena. Here we report the observation of concentric capillary wave formed on the surface of drastically flattened water drops levitated in ultrasound. The measured wavelength of capillary wave accords well with that from the classic dispersion relation equation. The eighth mode sectorial oscillation of acoustically levitated drop is excited by the active modulation of sound pressure. It is found that these phenomena are due to parametric excitation. The capillary wave is induced when the parametric instability arises and ultrasound pressure exceeds a threshold pressure. The sectorial oscillations take place when the equatorial radius varies at twice the natural sectorial frequency of the levitated drop. The frequency of the eighth mode sectorial oscillation decreases with the increase of equatorial radius and can be well described by modifying the Rayleigh equation. Further analysis reveals the parametric excitation mechanism for this kind of oscillations.
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Keywords:
- acoustic levitation /
- drop /
- capillary wave /
- sectorial oscillation
[1] Yarin A L, Weiss D A, Brenn G, Rensink D 2002 Int J. Multiphase Flow 28 887
[2] Sun Z H, Han R J 2008 Chin. Phys. B 17 3185
[3] Fujii H, Matsumoto T, Nogi K 2000 Acta Mater. 48 2933
[4] Bastrukov S, Chang H K, Misicu S, Molodtsova I, Podgainy D 2007 Int. J. Mod. Phys. A 22 3261
[5] Rayleigh L 1879 Proc. Roy. Soc. London 29 71
[6] Lamb H 1932 Hydrodynamics (Cambridge: Cambridge University Press) p606
[7] Courty S, Lagubeau G, Tixier T 2006 Phys. Rev. E 73 045301
[8] Lai M F, Lee C P, Liao C N, Wei Z H 2009 Appl. Phys. Lett. 94 154102
[9] Lopez H, Sigalotti L D G 2006 Phys. Rev. E 73 051201
[10] Chang J Z, Liu M B, Liu H T 2008 Acta Phys. Sin. 57 3954(in Chinese) [常建忠、刘谋斌、刘汉涛 2008 57 3954]
[11] Wang H, Zhang Z Y, Yang Y M, Hu Y, Zhang H S 2008 Chin. Phys. B 17 3847
[12] Noblin X, Buguin A, Brochard-Wyart F 2005 Phys. Rev. Lett. 94 166102
[13] Shen C L, Xie W J, Wei B 2010 Phys. Rev. E 81 046305
[14] Shen C L, Xie W J, Wei B 2010 Phys. Lett. A 374 2301
[15] Xie W J, Cao C D, Wei B B 1999 Acta Phys. Sin. 48 250(in Chinese) [解文军、曹崇德、魏炳波 1999 48 250]
[16] Zhang L, Li E P, Feng W, Hong Z Y, Xie W J, Ma Y H 2005 Acta Phys. Sin. 54 2038(in Chinese) [张 琳、李恩普、冯 伟、洪振宇、解文军、马仰华 2005 54 2038]
[17] Lee C P, Anilkumar A V, Wang T G 1991 Phys. Fluids A 3 2497
[18] Peng H W, Li R Q, Chen S Z, Li C B 2008 Chin. Phys. B 17 637
[19] Xie W J, Wei B 2004 Phys. Rev. E 70 046611
[20] Landau L D, Lifshitz E M 1987 Fluid Mechanics (New York: Pergamon Press) p244
[21] Danilov S D, Mironov M A 1992 J. Acoust. Soc. Am. 92 2747
[22] Landau L D, Lifshitz E M 1987 Mechanics (New York: Pergamon Press) p80
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[1] Yarin A L, Weiss D A, Brenn G, Rensink D 2002 Int J. Multiphase Flow 28 887
[2] Sun Z H, Han R J 2008 Chin. Phys. B 17 3185
[3] Fujii H, Matsumoto T, Nogi K 2000 Acta Mater. 48 2933
[4] Bastrukov S, Chang H K, Misicu S, Molodtsova I, Podgainy D 2007 Int. J. Mod. Phys. A 22 3261
[5] Rayleigh L 1879 Proc. Roy. Soc. London 29 71
[6] Lamb H 1932 Hydrodynamics (Cambridge: Cambridge University Press) p606
[7] Courty S, Lagubeau G, Tixier T 2006 Phys. Rev. E 73 045301
[8] Lai M F, Lee C P, Liao C N, Wei Z H 2009 Appl. Phys. Lett. 94 154102
[9] Lopez H, Sigalotti L D G 2006 Phys. Rev. E 73 051201
[10] Chang J Z, Liu M B, Liu H T 2008 Acta Phys. Sin. 57 3954(in Chinese) [常建忠、刘谋斌、刘汉涛 2008 57 3954]
[11] Wang H, Zhang Z Y, Yang Y M, Hu Y, Zhang H S 2008 Chin. Phys. B 17 3847
[12] Noblin X, Buguin A, Brochard-Wyart F 2005 Phys. Rev. Lett. 94 166102
[13] Shen C L, Xie W J, Wei B 2010 Phys. Rev. E 81 046305
[14] Shen C L, Xie W J, Wei B 2010 Phys. Lett. A 374 2301
[15] Xie W J, Cao C D, Wei B B 1999 Acta Phys. Sin. 48 250(in Chinese) [解文军、曹崇德、魏炳波 1999 48 250]
[16] Zhang L, Li E P, Feng W, Hong Z Y, Xie W J, Ma Y H 2005 Acta Phys. Sin. 54 2038(in Chinese) [张 琳、李恩普、冯 伟、洪振宇、解文军、马仰华 2005 54 2038]
[17] Lee C P, Anilkumar A V, Wang T G 1991 Phys. Fluids A 3 2497
[18] Peng H W, Li R Q, Chen S Z, Li C B 2008 Chin. Phys. B 17 637
[19] Xie W J, Wei B 2004 Phys. Rev. E 70 046611
[20] Landau L D, Lifshitz E M 1987 Fluid Mechanics (New York: Pergamon Press) p244
[21] Danilov S D, Mironov M A 1992 J. Acoust. Soc. Am. 92 2747
[22] Landau L D, Lifshitz E M 1987 Mechanics (New York: Pergamon Press) p80
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