Scattering from a pair of closely spaced bubbles.

Area of Science:

• Fluid dynamics
• Acoustics
• Two-phase flow

Background:

• Acoustic scattering from single bubbles is fundamental for bubble detection.
• Understanding bubble interactions is vital for analyzing two-phase flows.
• Traditional multiple scattering methods are complex for bubble interaction analysis.

Purpose of the Study:

• To develop a new methodology for analyzing acoustic scattering from a pair of bubbles.
• To derive a closed-form solution for the scattered acoustic field considering bubble interactions.
• To investigate the parametric dependence of acoustic scattering on bubble size and separation.

Main Methods:

• Utilized a bi-spherical coordinate system for modeling.
• Assumed a long-wave acoustical field, leading to homobaric bubbles and incompressible surrounding medium.
• Employed partial summation of multiple scattering series to capture key contributions.

Main Results:

• Derived a closed-form solution for the acoustic scattering from a pair of bubbles.
• The solution reveals parametric dependencies on bubble sizes and their separation distance.
• The bi-spherical approach effectively incorporates internal symmetry and dominant scattering contributions.

Conclusions:

• The derived closed-form solution offers a more efficient way to study bubble interactions in acoustics.
• This method advances the understanding of acoustic scattering in two-phase flows.
• The findings are applicable to improving bubble detection and characterization techniques.