Acoustic microstreaming and shear stress produced by the interaction of an oscillating gas bubble with a viscoelastic particle

TL;DR

This paper develops an analytical theory for acoustic microstreaming caused by oscillating gas bubbles interacting with viscoelastic particles, revealing higher shear stresses than previously estimated by Nyborg's formula.

Contribution

The paper introduces a comprehensive analytical model for bubble-particle interactions that accounts for various oscillation modes without restrictive assumptions.

Findings

Shear stress on particles is significantly higher than Nyborg's estimate.

The theory accurately predicts microstreaming effects for different oscillation modes.

Computational examples demonstrate the model's capabilities.

Abstract

An analytical theory is developed that describes acoustic microstreaming produced by the interaction of an oscillating gas bubble with a viscoelastic particle. The bubble is assumed to undergo axisymmetric oscillation modes, which can include radial oscillation, translation and shape modes. The oscillations of the particle are excited by the oscillations of the bubble. No restrictions are imposed on the ratio of the bubble and the particle radii to the viscous penetration depth and the separation distance, as well as on the ratio of the viscous penetration depth to the separation distance. Capabilities of the developed theory are illustrated by computational examples. The shear stress produced by the acoustic microstreaming on the particle surface is calculated. It is shown that this stress is much higher than the stress predicted by the formula of Nyborg, which is commonly used to evaluate the time-averaged shear stress produced by a bubble on a rigid wall.