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Nonlinear dynamic behavior of microscopic bubbles near a rigid wall
Sergey A Suslov1, Andrew Ooi, Richard Manasseh
1Mathematics, H38, Swinburne University of Technology, Hawthorn, Victoria 3122, Australia.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
Microscopic bubble dynamics near rigid walls are crucial for biomedical applications. The study reveals that walls stabilize bubble oscillations, requiring higher ultrasound pressure for nonlinear responses, aiding in wall proximity detection.
Area of Science:
- Acoustics and Fluid Dynamics
- Biomedical Engineering
- Nonlinear Dynamics
Background:
- Microscopic bubbles are integral to biomedical applications like ultrasound imaging and targeted drug delivery.
- Bubble dynamics near rigid boundaries, such as blood vessel walls, are significantly altered.
- Understanding these modifications is key for advanced therapeutic and diagnostic technologies.
Purpose of the Study:
- To investigate the nonlinear dynamic behavior of microscopic bubbles in proximity to a rigid wall.
- To analyze how the presence of a wall modifies bubble oscillations driven by ultrasound.
- To identify conditions leading to period-changing bifurcations in bubble dynamics.
Main Methods:
- Modified Keller-Miksis-Parlitz equation to model bubble dynamics near a rigid wall.
- Numerical solutions to trace bubble surface evolution and acoustic radiation losses.
- Application of Floquet theory to detect bifurcation points and period-changing transitions.
Main Results:
- The presence of a rigid wall generally stabilizes microscopic bubble dynamics.
- Significantly higher acoustic pressure amplitudes are required to induce nonlinear responses near a wall.
- Parametric bifurcation maps reveal period-tripling and -quadrupling transitions under specific conditions.
Conclusions:
- Wall proximity stabilizes bubble dynamics, impacting nonlinear responses.
- Nonlinear harmonic analysis under varying insonation amplitudes can detect microbubble proximity to walls.
- This finding supports the development of clinical protocols for enhanced diagnostic capabilities.
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