关键词: 次Bjerknes力/
体积振动振幅/
振动初相位/
散射
English Abstract
Volume pulsation and scattering of bubbles under the second Bjerknes force
Ma Yan1 2,Lin Shu-Yu1,
Xian Xiao-Jun1
1.Shaanxi Key Laboratory of Ultrasonics, Shaanxi Normal University, Xi'an 710062, China;
2.School of Physics and Information Technology, Ningxia Normal University, Guyuan 756000, China
Fund Project:Project supported by the National Natural Science Foundation of China (Grant Nos. 11174192, 11374200, 11474192).Received Date:01 July 2015
Accepted Date:01 September 2015
Published Online:05 January 2016
Abstract:The interaction of bubbles must be taken into consideration in the investigation of sound wave in the liquid containing gas bubbles, particularly in the case where the gas content is high. The force between two air bubbles due to the secondary sound fields radiated by the bubbles is called the secondary Bjerknes force, which makes the dynamics and scattering of bubbles different from a single bubble's. In order to investigate the influence of secondary Bjerknes force on bubbles' pulsation and scattering, we obtain the universal expression of bubbles' pulsation under the secondary Bjerknes force by Lagrange's equation. The influences on volume amplitude and initial phase of different parameter under the second Bjerknes force are discussed, and the scattering of bubbles with phase differences of and 0 is studied. The results show that the radius of neighbouring bubble, distance between two bubbles, polytropic coefficient and the phase can change the volume amplitude of pulsation under the secondary Bjerknes force. The mean radius of bubbles, distance and the frequency of sound have a significant effect on initial phase; the scattering of two bubbles of small distance and phase difference of is directional and decreases with distance r, which is related to the volume amplitude, initial phase and distance between two bubbles. The mean scattering power of bubble pairs of phase difference is 1/6(kd12)2 of single bubble's. The scattering of two bubbles with small distance and same phase also decreases with the distance r and relates to the volume amplitude, initial phase and distance between two bubbles. The mean scattering power of bubble pairs of same phase is 4 times as bigger as the mean scattering power of single bubble. It is expected that the mean radiuses, driving frequency and distance between bubbles can be used to change the scattering of bubbles.
Keywords: the secondary Bjerknes force/
volume amplitude/
pulsation phase/
scattering
