Comptes Rendus
Chaotic gas bubble oscillations in a viscoelastic fluid
Comptes Rendus. Mécanique, Volume 336 (2008) no. 5, pp. 411-416.

Regular and chaotic radial oscillations of an acoustically driven gas bubble in a viscoelastic fluid have been theoretically analyzed. For parameter values usually found in diagnostic ultrasound period-doubling routes to chaos have been identified. Thresholds values of the external pressure amplitude for a first bifurcation in terms of the elasticity and the shear viscosity of the host fluid have also been evaluated.

Les oscillations radiales, régulières ou chaotiques, d'une bulle de gaz au sein d'un fluide viscoélastique et soumise à l'action d'un champ acoustique sont analysées théoriquement. Pour des valeurs des paramètres qui sont normalement rencontrées dans le diagnostic médical, des chemins vers le chaos par doublement de la période ont été identifiés. Les valeurs limites pour la première bifurcation en fonction de l'élasticité et de la viscosité du fluide, ont été aussi déterminées.

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Published online:
DOI: 10.1016/j.crme.2008.02.007
Keywords: Acoustics, Bubble dynamics, Ultrasound, Viscoelastic fluids
Mot clés : Acoustique, Dynamique des bulles, Ultrasons, Fluides viscoelastiques

Javier Jiménez-Fernández 1

1 Dpto. Ingeniería Energética y Fluidomecánica, E.T.S.I. Industriales, 28006 Madrid, Spain
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Javier Jiménez-Fernández. Chaotic gas bubble oscillations in a viscoelastic fluid. Comptes Rendus. Mécanique, Volume 336 (2008) no. 5, pp. 411-416. doi : 10.1016/j.crme.2008.02.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.02.007/

[1] W. Lauterborn; U. Parlitz Methods of chaos physics and their application to acoustics, J. Acoust. Soc. Am., Volume 84 (1988) no. 6, pp. 1975-1993

[2] Ultrasound Contrast Agents: Basic Principles and Clinical Applications (B.B. Goldberg; J.S. Raichlen; F. Fosberg, eds.), Martin Dunitz, London, 2001

[3] S.P. Levitskii; Z.P. Shulman Bubbles in Polymeric Liquids: Dynamics, Heat and Mass Transfer, Technomic Publishing A G, Bassel, Switzerland, 1995

[4] J.S. Allen; R.A. Roy Dynamics of gas bubbles in viscoelastic fluids II. Nonlinear viscoelasticity, J. Acoust. Soc. Am., Volume 108 (2000) no. 4, pp. 1640-1650

[5] J. Jiménez-Fernández; A. Crespo Bubble oscillation and inertial cavitation in viscoelastic fluids, Ultrasonics, Volume 43 (2005), pp. 643-651

[6] J. Jiménez-Fernández; A. Crespo The collapse of gas bubbles and cavities in a viscoelastic fluid, Int. J. Multiphase Flow, Volume 32 (2006), pp. 1294-1299

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