Rectified mass diffusion serves as an important mechanism for dissolution or growth of gas bubbles under acoustic excitation with many applications in acoustical, chemical and biomedical engineering. In this paper, a general approach for predicting rectified mass diffusion phenomenon is proposed based on the equation of bubble motion with liquid compressibility. Nonuniform pressure inside gas bubbles is considered in the approach through employing a well-established framework relating with thermal effects during gas bubble oscillations. Energy dissipation mechanisms (i.e., viscous, thermal, and acoustic dissipation) and surface tension are also included in the approach. Comparing with previous analytical investigations, present approach mainly improves the predictions of rectified mass diffusion in the regions far above resonance and regions with frequencies megahertz and above. Mechanisms for the improvements are shown and discussed together with valid regions and limitations of present approach.
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A General Approach for Rectified Mass Diffusion of Gas Bubbles in Liquids Under Acoustic Excitation
Shengcai Li
University of Warwick,
Shengcai Li
School of Engineering
,University of Warwick,
Coventry CV4 7AL
, UK
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Yuning Zhang
Shengcai Li
School of Engineering
,University of Warwick,
Coventry CV4 7AL
, UK
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received December 11, 2012; final manuscript received November 22, 2013; published online January 31, 2014. Assoc. Editor: James A. Liburdy.
J. Heat Transfer. Apr 2014, 136(4): 042001 (8 pages)
Published Online: January 31, 2014
Article history
Received:
December 11, 2012
Revision Received:
November 22, 2013
Citation
Zhang, Y., and Li, S. (January 31, 2014). "A General Approach for Rectified Mass Diffusion of Gas Bubbles in Liquids Under Acoustic Excitation." ASME. J. Heat Transfer. April 2014; 136(4): 042001. https://doi.org/10.1115/1.4026089
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