Hostname: page-component-7dd5485656-jtdwj Total loading time: 0 Render date: 2025-10-30T09:00:27.362Z Has data issue: false hasContentIssue false
  • English
  • Français

Modelling the thermal behaviour of gas bubbles

Published online by Cambridge University Press:  24 August 2020

Guangzhao Zhou  and
Andrea Prosperetti Open the ORCID record for Andrea Prosperetti [Opens in a new window]
Guangzhao Zhou
Affiliation:
Department of Mechanical Engineering, University of Houston, Houston, TX77204, USA
Andrea Prosperetti*
Affiliation:
Department of Mechanical Engineering, University of Houston, Houston, TX77204, USA Faculty of Science and Technology and J. M. Burgers Center for Fluid Dynamics, University of Twente, 7522 NBEnschede, The Netherlands Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218, USA
*
†Email address for correspondence: aprosper@central.uh.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

In most cases, the dominant mechanism of energy dissipation for a bubble in volume oscillations is the thermal energy exchanged with the liquid. The process is subtle and its precise description a matter of some complexity. These features have prevented its ready incorporation in many applications, which forcedly have to rely on the rather inaccurate polytropic pressure–volume relation. This paper develops two approximate models of the thermal interaction, formulated in terms of ordinary differential equations, which can be readily added to standard Rayleigh–Plesset-type formulations at a modest computational cost.

JFM classification

Drops and Bubbles: Bubble dynamics Acoustics: Hydrodynamic noise Multiphase and Particle-laden Flows: Gas/liquid flow

Information

Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 901 , 25 October 2020 , R3
Copyright
© The Author(s), 2020. Published by 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.)

Article purchase

Temporarily unavailable

References

REFERENCES

Brenner, M. P., Hilgenfeldt, S. & Lohse, D. 2002 Single-bubble sonoluminescence. Rev. Mod. Phys. 74, 425–484.CrossRefGoogle Scholar
Devin, C. 1959 Survey of thermal, radiation, and viscous damping of pulsating air bubbles in water. J. Acoust. Soc. Am. 31, 1654–1667.CrossRefGoogle Scholar
Dollet, B., Marmottant, P. & Garbin, V. 2019 Bubble dynamics in soft and biological matter. Annu. Rev. Fluid Mech. 51, 331–355.CrossRefGoogle Scholar
Hao, Y., Zhang, Y. & Prosperetti, A. 2017 Mechanics of gas-vapor bubbles. Phys. Rev. Fluids 2, 034303.CrossRefGoogle Scholar
Helfield, B. 2019 A review of phospholipid encapsulated ultrasound contrast agent microbubble physics. Ultrasound Med. Biol. 45, 282–300.CrossRefGoogle ScholarPubMed
Kamath, V. & Prosperetti, A. 1989 Numerical integration methods in gas-bubble dynamics. J. Acoust. Soc. Am. 85, 1538–1548.CrossRefGoogle Scholar
Lauterborn, W. 1976 Numerical investigation of nonlinear oscillations of gas bubbles in liquids. J. Acoust. Soc. Am. 59, 283–293.CrossRefGoogle Scholar
Lauterborn, W. & Kurz, T. 2010 Physics of bubble oscillations. Rep. Prog. Phys. 73, 106501.CrossRefGoogle Scholar
Plesset, M. S. & Prosperetti, A. 1977 Bubble dynamics and cavitation. Annu. Rev. Fluid Mech. 9, 145–185.CrossRefGoogle Scholar
Prosperetti, A. 1991 The thermal behaviour of oscillating gas bubbles. J. Fluid Mech. 222, 587–616.CrossRefGoogle Scholar
Stricker, L., Prosperetti, A. & Lohse, D. 2011 Validation of an approximate model for the thermal behavior in acoustically driven bubbles. J. Acoust. Soc. Am. 130, 3243–3251.CrossRefGoogle ScholarPubMed
Toegel, R., Hilgenfeldt, S. & Lohse, D. 2002 Suppressing dissociation in sonoluminescing bubbles: the effect of excluded volume. Phys. Rev. Lett. 88, 034301.CrossRefGoogle ScholarPubMed
Versluis, M., Stride, E., Lajoinie, G., Dollet, B. & Segers, T. 2020 Ultrasound contrast agent modeling: a review. Ultrasound Med. Biol. (to appear).CrossRefGoogle Scholar