Energy Analysis of Cavitation Bubbles Under Dual-Frequency Acoustic Excitation

Downloads

Authors

  • Liang LV School of Mechano-Electronic Engineering, Suzhou Vocational University, China
  • Kai HU Department of Sports Health and Art Education, Hebei Petroleum University of Technology, China
  • Fei LIU Department of Sports Health and Art Education, Hebei Petroleum University of Technology, China
  • Yawei LI Department of Sports Health and Art Education, Hebei Petroleum University of Technology, China
  • Bing CUI School of Mechano-Electronic Engineering, Suzhou Vocational University, China

Abstract

Cavitation has been widely used in wastewater degradation, material synthesis and biomedical field under dual-frequency acoustic excitation. The applications of cavitation are closely related to the power (i.e. the rate of internal energy accumulation) during bubble collapse. The Keller–Miksis equation considering liquid viscosity, surface tension and liquid compressibility is used to describe the radial motion of the bubble. The model is built in predicting the power during bubble collapse under dual-frequency acoustic excitation. The influences of parameters (i.e. phase difference, frequency difference, and amplitude ratio) on the power are investigated numerically. With the increase of phase difference, the power can be fluctuated in a wide range at all conditions. Three typical characteristics of the power appear under the effects of frequency difference and amplitude ratio. With the increase of amplitude ratio, if the frequency difference is small, the power has two maximum values; and if the frequency difference is medium, there is a maximum value. Otherwise, the power monotonously decreases. The results can provide theoretical references for the selections of experimental parameters of sonoluminescence and sonochemistry in the dual-frequency acoustic field.

Keywords:

dual-frequency acoustic excitation, power, sonoluminescence, sonochemistry

References

1. Brotchie A., Grieser F., Ashokkumar M. (2010), Characterization of acoustic cavitation bubbles in different sound fields, Journal of Physical Chemistry B, 114(34): 11010–11016, https://doi.org/10.1021/jp105618q

2. Coussios C.C., Roy R.A. (2008), Applications of acoustics and cavitation to noninvasive therapy and drug delivery, Annual Review of Fluid Mechanics, 2008, 40(1): 395–420, https://doi.org/10.1146/annurev.fluid.40.111406.102116

3. Guédra M., Inserra C., Gilles B. (2017), Accompanying the frequency shift of the nonlinear resonance of a gas bubble using a dual-frequency excitation, Ultrasonics Sonochemistry, 38(1): 298–305, https://doi.org/10.1016/j.ultsonch.2017.03.028

4. Holzfuss J., Rüggeberg M., Mettin R. (1998), Boosting sonoluminescence, Physical Review Letters, 81(9): 1961–1964, https://doi.org/10.1103/PhysRevLett.81.1961

5. Huang X.T., Zhou C.H., Suo Q.Y., Zhang L.T., Wang S.H. (2018), Experimental study on viscosity reduction for residual oil by ultrasonic, Ultrasonics Sonochemistry, 41(1): 661–669, https://doi.org/10.1016/j.ultsonch.2017.09.021

6. Kanthale P.M., Brotchie A., Ashokkumar M., Grieser F. (2008), Experimental and theoretical investigations on sonoluminescence under dual frequency conditions, Ultrasonics Sonochemistry, 15(4): 629–635, https://doi.org/10.1016/j.ultsonch.2007.08.006

7. Koda S., Kimura T., Kondo T., Mitome H. (2003), A standard method to calibrate sonochemical efficiency of an individual reaction system, Ultrasonics Sonochemistry, 10(3): 149–156, https://doi.org/10.1016/S1350-4177%2803%2900084-1

8. Krefting D., Mettin R., Lauterborn W. (2002), Two-frequency driven single-bubble sonoluminescence, Journal of the Acoustical Society of America, 112(5): 1918–1927, https://doi.org/10.1121/1.1509427

9. Loske A.M., Prieto F.E., Fernández F., Cauwelaert J.V. (2002), Tandem shock wave cavitation enhancement for extracorporeal lithotripsy, Physics in Medicine and Biology, 47(22): 3945-3957, doi: 10.1088/ 0031-9155/47/22/303.

10. Lv L., Zhang Y. X., Wang L.Y. (2020), Effects of liquid compressibility on the dynamics of ultrasound contrast agent microbubbles, Fluid Dynamics Research, 52(5): 1–17, https://doi.org/10.1088/1873-7005/abb09b

11. Mason T.J. (2016), Ultrasonic cleaning: An historical perspective, Ultrasonics Sonochemistry, 29: 519–523, https://doi.org/10.1016/j.ultsonch.2015.05.004

12. Merouani S., Hamdaoui O., Rezgui Y., Guemini M.(2014), Energy analysis during acoustic bubble oscillations: Relationship between bubble energy and sonochemical
parameters, Ultrasonics, 54(1): 227–232, https://doi.org/10.1016/j.ultras.2013.04.014

13. Mettin R., Akhatov I., Parlitz U., Ohl C.D., Lauterborn W. (1997), Bjerknes forces between small cavitation bubbles in a strong acoustic field, Physical Review E, 56(3): 2924–2931, https://doi.org/10.1103/PhysRevE.56.2924

14. Moholkar V.S. (2009), Mechanistic optimization of a dual frequency sonochemical reactor, Chemical Engineering Science, 64(24): 5255–5267, https://doi.org/10.1016/j.ces.2009.08.037

15. Moshaii A., Sadighi-Bonabi R. (2004), Role of liquid compressional viscosity in the dynamics of a sonoluminescing bubble, Physical Review E, 70: 016304, https://doi.org/10.1103/physreve.70.016304

16. Suo D.J., Govind B., Zhang S.Q., Jing Y. (2018), Numerical investigation of the inertial cavitation threshold under multi-frequency ultrasound, Ultrasonics Sonochemistry, 41: 419–426, https://doi.org/10.1016/j.ultsonch.2017.10.004

17. Tatake P.A., Pandit A.B. (2002), Modelling and experimental investigation into cavity dynamics and cavitational yield: Influence of dual frequency ultrasound sources, Chemical Engineering Science, 57(22): 4987–4995, https://doi.org/10.1016/S0009-2509%2802%2900271-3

18. Tinguely M., Obreschkow D., Kobel P., Dorsaz N., Bosset A., Farhat M. (2012), Energy partition at the collapse of spherical cavitation bubbles, Physical Review E, 86: 046315, https://doi.org/10.1103/Phys-RevE.86.046315

19. Waldo N.B., Vecitis C.D. (2018), Combined effects of phase-shift and power distribution on efficiency of dual high-frequency sonochemistry, Ultrasonics Sonochemistry, 41(1): 100–108, https://doi.org/10.1016/j.ultsonch.2017.09.010

20. Yang X., Church C.C. (2005), A model for the dynamics of gas bubbles in soft tissue, The Journal of the Acoustical Society of America, 118(6): 3595–3606, https://doi.org/10.1121/1.2118307

21. Yeh C.K., Su S.Y., Shen C.C., Li M.L. (2008), Dual high-frequency difference excitation for contrast detection, IEEE Transactions on Ultrasonics Ferroelectrics
and Frequency Control, 55(10): 2164–2175, https://doi.org/10.1109/TUFFC.916

22. Zhang Y.N., Billson D., Li S.C. (2015), Influences of pressure amplitudes and frequencies of dual-frequency acoustic excitation on the mass transfer across interfaces of gas bubbles, International Communications in Heat and Mass Transfer, 66: 167–171, https://doi.org/10.1016/j.icheatmasstransfer.2015.05.026

23. Zhang Y.N., Du X.Z., Xian H.Z., Wu Y.L. (2015), Instability of interfaces of gas bubbles in liquids under acoustic excitation with dual frequency, Ultrasonics Sonochemistry, 23(1): 16–20, https://doi.org/10.1016/j.ultsonch.2014.07.021

24. Zhang Y.N., Zhang Y.N., Li S.C. (2017), Combination and simultaneous resonances of gas bubbles oscillating in liquids under dual-frequency acoustic excitation, Ultrasonics Sonochemistry, 35(Part A): 431–439, https://doi.org/10.1016/j.ultsonch.2016.10.022

25. Zupanc M., Pandur Ž., Perdih T.S., Stopar D., Petkovšek M., Dular M. (2016), Effects of cavitation on different microorganisms: The current understanding of the mechanisms taking place behind the phenomenon. A review and proposals for further research, Ultrasonics Sonochemistry, 57: 147–165, https://doi.org/10.1016/j.ultsonch.2019.05.009