Dynamics of a bubble moving through a liquid

The present study consists in a further step of a path finalised to investigate, with proper analytical methods, hydrodynamic cavitation, that is to predict the bubble motion, when the bubble lies in a prescribed flow, as it would be in the presence of hydrodynamic devices. The motion, within a fluid at rest, of a bubble in a plane parallel to the gravity field is studied here, as a first step to investigate the behavior of the bubble when subject to transport of a background two-dimensional flow field.