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Radial dynamics of an encapsulated microbubble with interface energy

Published online by Cambridge University Press:  06 December 2021

Nehal Dash Open the ORCID record for Nehal Dash [Opens in a new window]  and
Ganesh Tamadapu Open the ORCID record for Ganesh Tamadapu [Opens in a new window]
Nehal Dash
Affiliation:
Department of Applied Mechanics, Indian Institute of Technology Madras, Chennai 600036, India
Ganesh Tamadapu*
Affiliation:
Department of Applied Mechanics, Indian Institute of Technology Madras, Chennai 600036, India
*
†Email address for correspondence: gt@iitm.ac.in
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Abstract

In this work a mathematical model based on interface energy is proposed within the framework of surface continuum mechanics to study the dynamics of encapsulated bubbles. The interface model naturally induces a residual stress field into the bulk of the bubble, with possible expansion or shrinkage from a stress-free configuration to a natural equilibrium configuration. The significant influence of interface area strain and the coupled effect of stretch and curvature is observed in the numerical simulations based on constrained optimization. Due to the bending rigidity related to additional terms, the dynamic interface tension can become negative, but not due to the interface area strain. The coupled effect of interface strain and curvature term observed is new and plays a dominant role in the dominant compression behaviour of encapsulated bubbles observed in the experiments. The present model is validated by fitting the experimental data of $1.7\,\mathrm {\mu }$m, $1.4\,\mathrm {\mu }$m and $1\,\mathrm {\mu }$m radii bubbles by calculating the optimized parameters. This work also highlights the role of interface parameters and natural configuration gas pressure in estimating the size-independent viscoelastic material properties of encapsulated bubbles with interesting future developments.

JFM classification

Drops and Bubbles: Bubble dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 932 , 10 February 2022 , A26
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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