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Title: Linear oscillation of gas bubbles in a viscoelastic material under ultrasound irradiation

Abstract

Acoustically forced oscillation of spherical gas bubbles in a viscoelastic material is studied through comparisons between experiments and linear theory. An experimental setup has been designed to visualize bubble dynamics in gelatin gels using a high-speed camera. A spherical gas bubble is created by focusing an infrared laser pulse into (gas-supersaturated) gelatin gels. The bubble radius (up to 150 μm) under mechanical equilibrium is controlled by gradual mass transfer of gases across the bubble interface. The linearized bubble dynamics are studied from the observation of spherical bubble oscillation driven by low-intensity, planar ultrasound driven at 28 kHz. It follows from the experiment for an isolated bubble that the frequency response in its volumetric oscillation was shifted to the high frequency side and its peak was suppressed as the gelatin concentration increases. The measurement is fitted to the linearized Rayleigh–Plesset equation coupled with the Voigt constitutive equation that models the behavior of linear viscoelastic solids; the fitting yields good agreement by tuning unknown values of the viscosity and rigidity, indicating that more complex phenomena including shear thinning, stress relaxation, and retardation do not play an important role for the small-amplitude oscillations. Moreover, the cases for bubble-bubble and bubble-wall systems are studied.more » The observed interaction effect on the linearized dynamics can be explained as well by a set of the Rayleigh–Plesset equations coupled through acoustic radiation among these systems. This suggests that this experimental setup can be applied to validate the model of bubble dynamics with more complex configuration such as a cloud of bubbles in viscoelastic materials.« less

Authors:
;  [1]
  1. Department of Mechanical Engineering, Keio University, Yokohama 223-8522 (Japan)
Publication Date:
OSTI Identifier:
22482454
Resource Type:
Journal Article
Journal Name:
Physics of Fluids (1994)
Additional Journal Information:
Journal Volume: 27; Journal Issue: 11; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-6631
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BUBBLES; EQUATIONS; GELATIN; GELS; MATERIALS; OSCILLATIONS; STRESS RELAXATION; ULTRASONIC WAVES

Citation Formats

Hamaguchi, Fumiya, and Ando, Keita. Linear oscillation of gas bubbles in a viscoelastic material under ultrasound irradiation. United States: N. p., 2015. Web. doi:10.1063/1.4935875.
Hamaguchi, Fumiya, & Ando, Keita. Linear oscillation of gas bubbles in a viscoelastic material under ultrasound irradiation. United States. https://doi.org/10.1063/1.4935875
Hamaguchi, Fumiya, and Ando, Keita. 2015. "Linear oscillation of gas bubbles in a viscoelastic material under ultrasound irradiation". United States. https://doi.org/10.1063/1.4935875.
@article{osti_22482454,
title = {Linear oscillation of gas bubbles in a viscoelastic material under ultrasound irradiation},
author = {Hamaguchi, Fumiya and Ando, Keita},
abstractNote = {Acoustically forced oscillation of spherical gas bubbles in a viscoelastic material is studied through comparisons between experiments and linear theory. An experimental setup has been designed to visualize bubble dynamics in gelatin gels using a high-speed camera. A spherical gas bubble is created by focusing an infrared laser pulse into (gas-supersaturated) gelatin gels. The bubble radius (up to 150 μm) under mechanical equilibrium is controlled by gradual mass transfer of gases across the bubble interface. The linearized bubble dynamics are studied from the observation of spherical bubble oscillation driven by low-intensity, planar ultrasound driven at 28 kHz. It follows from the experiment for an isolated bubble that the frequency response in its volumetric oscillation was shifted to the high frequency side and its peak was suppressed as the gelatin concentration increases. The measurement is fitted to the linearized Rayleigh–Plesset equation coupled with the Voigt constitutive equation that models the behavior of linear viscoelastic solids; the fitting yields good agreement by tuning unknown values of the viscosity and rigidity, indicating that more complex phenomena including shear thinning, stress relaxation, and retardation do not play an important role for the small-amplitude oscillations. Moreover, the cases for bubble-bubble and bubble-wall systems are studied. The observed interaction effect on the linearized dynamics can be explained as well by a set of the Rayleigh–Plesset equations coupled through acoustic radiation among these systems. This suggests that this experimental setup can be applied to validate the model of bubble dynamics with more complex configuration such as a cloud of bubbles in viscoelastic materials.},
doi = {10.1063/1.4935875},
url = {https://www.osti.gov/biblio/22482454}, journal = {Physics of Fluids (1994)},
issn = {1070-6631},
number = 11,
volume = 27,
place = {United States},
year = {Sun Nov 15 00:00:00 EST 2015},
month = {Sun Nov 15 00:00:00 EST 2015}
}