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Related Concept Videos

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Excess Pressure Inside a Drop and a Bubble

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Related Experiment Video

Updated: Jun 17, 2026

A Microfluidic System with Surface Patterning for Investigating Cavitation Bubble(s)–Cell Interaction and the Resultant Bioeffects at the Single-cell Level
11:14

A Microfluidic System with Surface Patterning for Investigating Cavitation Bubble(s)–Cell Interaction and the Resultant Bioeffects at the Single-cell Level

Published on: January 10, 2017

Stability analysis of an encapsulated microbubble against gas diffusion.

Amit Katiyar1, Kausik Sarkar

  • 1Mechanical Engineering Department, University of Delaware, Newark, Delaware 19716, USA.

Journal of Colloid and Interface Science
|December 17, 2009
PubMed
Summary

This study analyzes microbubble stability, finding that elastic encapsulation can stabilize gas diffusion. Stability is achieved when the surrounding medium is air-saturated and the encapsulation supports compressive stress.

Related Experiment Videos

Last Updated: Jun 17, 2026

A Microfluidic System with Surface Patterning for Investigating Cavitation Bubble(s)–Cell Interaction and the Resultant Bioeffects at the Single-cell Level
11:14

A Microfluidic System with Surface Patterning for Investigating Cavitation Bubble(s)–Cell Interaction and the Resultant Bioeffects at the Single-cell Level

Published on: January 10, 2017

Area of Science:

  • Physics
  • Materials Science
  • Chemical Engineering

Background:

  • Microbubbles are crucial in various applications, but their stability is limited by gas diffusion.
  • The Epstein-Plesset model describes bubble dynamics but often neglects encapsulation effects.
  • Understanding microbubble stability is key for optimizing their use in medicine and industry.

Purpose of the Study:

  • To perform a linear stability analysis of a modified Epstein-Plesset model for encapsulated microbubbles.
  • To investigate the influence of encapsulation elasticity and finite gas permeability on microbubble stability.
  • To determine conditions for stable equilibrium states of encapsulated microbubbles.

Main Methods:

  • Linear stability analysis of a mathematical model.
  • Modification of the Epstein-Plesset model to include encapsulation elasticity and finite gas permeability.
  • Analysis of equilibrium solutions under varying saturation levels and material properties.

Main Results:

  • Microbubble stability is achieved only when the surrounding medium is saturated or oversaturated with air.
  • Elastic encapsulation can stabilize microbubbles, depending on surface tension and elasticity.
  • Actual stability requires the encapsulation to support a net compressive stress, leading to a neutrally stable equilibrium radius under certain conditions.

Conclusions:

  • The study provides physical mechanisms for the stability and instability of encapsulated microbubbles.
  • Elastic encapsulation offers a pathway to stabilize microbubbles, with specific conditions required for true stability.
  • Results align with previous numerical findings, validating the theoretical model.