Effect of weak compressibility of a fluid on bubble-bubble interaction in strong acoustic fields |
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| Authors: | A A Aganin T S Guseva |
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| Institution: | (1) Institute of Nanoengineering and Micro Systems (NEMS), National Tsing Hua University, Hsinchu, 30013, Taiwan, ROC;(2) Department of Engineering and System Science, National Tsing Hua University, Hsinchu, 30013, Taiwan, ROC;(3) Division of Mechanics, Research Center for Applied Sciences Academia Sinica, Taipei, 11529, Taiwan, ROC;(4) Department of Information Management, China University of Science and Technology, Taipei, 11529, Taiwan, ROC; |
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| Abstract: | The effect of weak compressibility of a fluid on the interaction between spherical bubbles in a strong acoustic field is considered.
A small parameter ɛ which represents the ratio of the characteristic velocity of radial oscillations of the bubbles to the speed of sound in
the fluid is used as a parameter characterizing the fluid compressibility. The equations governing the interaction between
two bubbles are derived with an accuracy O(ɛ) in the case in which the ratio of the characteristic velocities of their translational and radial motions is of the order
of ɛ. It is shown that neglecting the fluid compressibility effect due to the bubble interaction can lead to either enhancement
or attenuation of their radial oscillations following the main compression stage, variation in the oscillation frequency,
the bubble approach velocity, and the velocity of the spatial motion of the coupled pair, and the bubble approach and collision
rather than their moving away from one another with the formation of a coupled pair. |
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