摘要Based on the perturbation theory and Bernoulli equation, equations of aspherical oscillation of two interacting bubbles are derived. This system is then used for the numerical investigation of the deformation of the two bubbles' surfaces in a spherical ultrasound field in liquid. We find that the details of the aspherical oscillation of two bubbles are shown by the analysis of a2(t) and b2(t) that describe the surface deformation of bubbles 1 and 2, respectively.
Abstract:Based on the perturbation theory and Bernoulli equation, equations of aspherical oscillation of two interacting bubbles are derived. This system is then used for the numerical investigation of the deformation of the two bubbles' surfaces in a spherical ultrasound field in liquid. We find that the details of the aspherical oscillation of two bubbles are shown by the analysis of a2(t) and b2(t) that describe the surface deformation of bubbles 1 and 2, respectively.
[1] Weninger K et al 1996 Phys. Rev. E 54 2205 [2] Madrazo A et al 1998 Phys. Rev. Lett.80 4590 [3] Wu C C and Roberts P H 1998 Phys. Lett. A 250 131 [4] Wang W J et al 2003 J. Acoust. Soc. Am114 1898 [5] Eru K et al 2011 J. Acoust. Soc. Am.130 3357 [6] Doinikov A A 2001 Phys. Rev. E 64 026301 [7] Hobson E W 1931 The Theory of Spherical and Ellipsoidal Harmonics (London: Cambridge University Press) [8] Prosperetti A 1977 Q. Appl. Math.34 339 [9] Ross D 1983 Mechanics of Under Water Noise (Beijing: Ocean Press) (in Chinese) [10] Lord R 1917 Philos. Mag.34 94 [11] Fujikawa S and Takahira H 1986 Acustica61 188 [12] Zhang P L et al 2009 Acta Phys. Sin.58 7797 (in Chinese) [13] Lu Y G et al 2011 Acta Phys. Sin.60 046202 (in Chinese) [14] Pu Z Q et al 2005 J. Tsinghua University11 1450 (in Chinese)