Nuclei transport about a sphere

Microbubble transport in a potential flow about a sphere is studied. A system of differential equations is solved numerically to model the propagation of microbubbles subject to the Kelvin impulse, pressure gradients and drag. Buoyancy due to the pressure gradient is found to be the dominant force, but the deviation from streamlines is small. Finally, the inclusion of a viscous boundary layer is shown to prevent bubbles colliding with the sphere surface.