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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: [email protected]
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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
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 901 , 25 October 2020 , R3
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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