Multi-frequency sonoreactor characterisation in the frequency domain using a semi-empirical bubbly liquid model

Area of Science:

• Acoustics
• Chemical Engineering
• Fluid Dynamics

Background:

• Multi-frequency systems enhance power ultrasound applications.
• Digital prototyping of multi-frequency sonoreactors is gaining interest.
• Time-domain simulations present challenges for multi-frequency acoustic fields.

Purpose of the Study:

• To characterize a multi-frequency sonoreactor using frequency domain simulations.
• To address limitations of conventional time-domain simulation methods.
• To validate simulation results with experimental sonochemiluminescence data.

Main Methods:

• Frequency domain simulations in 2-D were employed.
• A hexagonal sonoreactor operating at 28, 40, and 70 kHz was studied.
• A modified Commander and Prosperetti model described bubbly-liquid effects.

Main Results:

• Root-mean-squared acoustic pressure showed good qualitative agreement with sonochemiluminescence (SCL) antinode predictions.
• Empirical phase speed from SCL measurements reduced simulation errors.
• Geometry significantly impacts standing wave magnitudes due to interference effects.

Conclusions:

• Frequency domain simulations offer a viable alternative for multi-frequency sonoreactor characterization.
• Accurate bubble parameter specification and empirical phase speed are crucial for reliable simulations.
• Optimizing sonoreactor geometry is key for enhancing acoustic pressure fields in multi-frequency applications.