Small Bubble Motion in an Accelerating Liquid

Abstract

Low Reynolds number bubble motion in accelerating liquids is analyzed. Because of motion of the bubble surface, the flow about a bubble differs from the flow surrounding a rigid particle. A governing relation, equivalent to the Basset-Boussinesq-Oseen equation for rigid particle motion, is developed. Response characteristics of the bubble are presented. Bubble behavior is found to differ significantly from rigid particle behavior.