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Microbubble shape oscillations excited through ultrasonic parametric driving.

Michel Versluis¹, David E Goertz, Peggy Palanchon

¹Department of Science and Technology, University of Twente, 7500 AE Enschede, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 28, 2010

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Ultrasound-driven air bubbles exhibit shape instability. The observed shape oscillation mode number linearly relates to bubble radius and is independent of driving pressure above a threshold.

Area of Science:

Fluid dynamics
Acoustics
Microscale phenomena

Background:

Ultrasound can induce instabilities in microbubbles.
Parametric instability affects bubble shape.
Understanding microbubble dynamics is crucial for applications.

Purpose of the Study:

To investigate the shape oscillations of single air microbubbles driven by ultrasound.
To determine the relationship between bubble radius, driving pressure, and oscillation mode.
To validate experimental findings with numerical simulations.

Main Methods:

Time-resolved optical observations of microbubble shape.
Controlled ultrasound excitation of single air bubbles.
Numerical analysis using a perturbed Rayleigh-Plesset equation.

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Main Results:

Observed shape oscillations from mode n=2 to 6.
A linear relationship between observed mode number (n) and ambient bubble radius.
Mode number independence from forcing pressure amplitude above a critical threshold.
Numerical simulations accurately captured experimental observations.

Conclusions:

Microbubble shape instability is governed by a parametric instability.
Bubble radius is a key factor determining the mode of shape oscillation.
The Rayleigh-Plesset model, with perturbations, effectively describes microbubble shape dynamics.