Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-28T22:19:54.014Z Has data issue: false hasContentIssue false

Effect of a distant rigid wall on microstreaming generated by an acoustically driven gas bubble

Published online by Cambridge University Press:  21 February 2014

Alexander A. Doinikov*
Affiliation:
INSERM U930, Université François Rabelais, CHU Bretonneau, 2 Boulevard Tonnellé, 37044 Tours CEDEX 9, France
Ayache Bouakaz
Affiliation:
INSERM U930, Université François Rabelais, CHU Bretonneau, 2 Boulevard Tonnellé, 37044 Tours CEDEX 9, France
*
Email address for correspondence: [email protected]

Abstract

A theory is developed that describes acoustic microstreaming around a gas bubble undergoing small radial and translational oscillations in the presence of a distant rigid wall. It is shown that the presence of the wall can change the amplitude and the phase of the bubble oscillations in such a way that the intensity of acoustic microstreaming is increased considerably as compared with that generated by the same bubble in an infinite liquid. This occurs if the driving frequency is close to the resonance frequency that the bubble has in the presence of the wall. Equations for acoustic microstreaming in the boundary layer at the wall are also provided.

Type
Papers
Copyright
© 2014 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, I. A. 1972 Handbook of Mathematical Functions. Dover.Google Scholar
Batchelor, G. K. 2000 An Introduction to Fluid Dynamics. Cambridge University.Google Scholar
Boyce, W. E. & DiPrima, R. C. 2001 Elementary Differential Equations and Boundary Value Problems. 7th edn. Wiley.Google Scholar
Collis, J., Manasseh, R., Liovic, P., Tho, P., Ooi, A., Petkovic-Duran, K. & Zhu, Y. 2010 Cavitation microstreaming and stress fields created by microbubbles. Ultrasonics 50, 273279.Google Scholar
Crum, L. A. 1975 Bjerknes forces on bubbles in a stationary sound field. J. Acoust. Soc. Am. 57, 13631370.Google Scholar
Davidson, B. J. & Riley, N. 1971 Cavitation microstreaming. J. Sound Vib. 15, 217233.CrossRefGoogle Scholar
Doinikov, A. A. & Bouakaz, A. 2010a Acoustic microstreaming around a gas bubble. J. Acoust. Soc. Am. 127, 703709.Google Scholar
Doinikov, A. A. & Bouakaz, A. 2010b Acoustic microstreaming around an encapsulated particle. J. Acoust. Soc. Am. 127, 12181227.Google Scholar
Elder, S. A. 1959 Cavitation microstreaming. J. Acoust. Soc. Am. 31, 5464.Google Scholar
Goldberg, B. B., Raichlen, J. S. & Forsberg, F. 2001 Ultrasound Contrast Agents: Basic Principles and Clinical Applications. Martin Dunitz.Google Scholar
Khismatullin, D. B. 2005 Gas microbubbles and their use in medicine. In Bubble and Particle Dynamics in Acoustic Fields: Modern Trends and Applications (ed. Doinikov, A. A.), pp. 231289. Research Signpost.Google Scholar
Kolb, J. & Nyborg, W. 1956 Small-scale acoustic streaming in liquids. J. Acoust. Soc. Am. 28, 12371242.Google Scholar
Lamb, H. 1975 Hydrodynamics. Cambridge University Press.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1987 Fluid Mechanics. Pergamon.Google Scholar
Liu, X. & Wu, J. 2009 Acoustic microstreaming around an isolated encapsulated microbubble. J. Acoust. Soc. Am. 125, 13191330.Google Scholar
ALonguet–Higgins, M. S. 1998 Viscous streaming from an oscillating spherical bubble. Proc. R. Soc. Lond. 454, 725742.Google Scholar
Maksimov, A. O. 2007 Viscous streaming from surface waves on the wall of acoustically-driven gas bubbles. Eur. J. Mech. B/Fluids 26, 2842.Google Scholar
Marmottant, P. & Hilgenfeldt, S. 2003 Controlled vesicle deformation and lysis by single oscillating bubbles. Nature 423, 153156.Google Scholar
Nyborg, W. L. 1958 Acoustic streaming near a boundary. J. Acoust. Soc. Am. 30, 329339.CrossRefGoogle Scholar
Nyborg, W. L. 1978 Physical principles of ultrasound. In Ultrasound: Its Applications in Medicine and Biology (ed. Fry, F. J.), pp. 175. Elsevier, Part I.Google Scholar
Oguz, H. N. & Prosperetti, A. 1990 Bubble oscillations in the vicinity of a nearly plane free surface. J. Acoust. Soc. Am. 87, 20852092.Google Scholar
Prosperetti, A. 1974 Nonlinear oscillations of gas bubbles in liquids: steady-state solutions. J. Acoust. Soc. Am. 56, 878885.Google Scholar
Prosperetti, A. 1977 Thermal effects and damping mechanisms in the forced radial oscillations of gas bubbles in liquids. J. Acoust. Soc. Am. 61, 1727.CrossRefGoogle Scholar
Qin, S., Caskey, C. F. & Ferrara, K. W. 2009 Ultrasound contrast microbubbles in imaging and therapy: physical principles and engineering. Phys. Med. Biol. 54, R27R57.Google Scholar
Rooney, J. A. 1970 Hemolysis near an ultrasonically pulsating gas bubble. Science 169, 869871.Google Scholar
Rooney, J. A. 1972 Shear as a mechanism for sonically induced biological effects. J. Acoust. Soc. Am. 52, 17181724.Google Scholar
Schlichting, H. 1979 Boundary-Layer Theory. McGraw-Hill.Google Scholar
Wu, J. 2002 Theoretical study on shear stress generated by microstreaming surrounding contrast agents attached to living cells. Ultrasound Med. Biol. 28, 125129.Google Scholar
Wu, J. & Du, G. 1997 Streaming generated by a bubble in an ultrasound field. J. Acoust. Soc. Am. 101, 18991907.Google Scholar
Wu, J. & Nyborg, W. L. 2008 Ultrasound, cavitation bubbles and their interaction with cells. Adv. Drug. Deliv. Rev. 60, 11031116.Google Scholar