Scaling law for bubbles induced by different external sources: theoretical and experimental study

Area of Science:

• Fluid dynamics
• Acoustics
• Nonlinear phenomena

Background:

• Bubble dynamics are crucial in various scientific and industrial applications.
• Understanding bubble collapse mechanisms induced by diverse energy sources is complex.
• Existing models often lack a unified approach for different bubble types.

Purpose of the Study:

• To develop a universal scaling law for bubbles generated by different external sources.
• To establish relationships between characteristic length and time scales for various bubble types.
• To enable knowledge transfer between studies of spark, laser, and underwater explosion bubbles.

Main Methods:

• Utilizing a modified Rayleigh-Plesset model for bubble dynamics.
• Deriving equations to describe bubble collapse from electrical spark, laser, and underwater explosions.
• Formulating and validating a novel scaling law through experimental data and literature review.

Main Results:

• A scaling law was formulated, demonstrating distinct scaling factors for length and time.
• The characteristic length scale factor differs from the characteristic time scale factor across bubble types.
• Experimental validation confirmed the law's applicability to spark, laser, and underwater explosion bubbles.

Conclusions:

• The developed scaling law provides a unified framework for studying diverse bubble phenomena.
• It facilitates the application of knowledge from well-studied underwater explosion bubbles to spark and laser bubbles.
• This research enables the use of simpler bubble systems (spark/laser) to model complex physical problems.