Analysis of bubble-in-liquid bridge configuration as prototype for studying foam dynamics. Zero Bond number case

A bubble-in-liquid bridge is a unique configuration that resembles the case of two neighboring bubbles in a foam separated by a liquid layer. It calls for a small bubble inside a liquid bridge with the curved free surface of the liquid bridge acting as part of a larger external bubble. This configuration can serve as a prototype to study foam dynamics. A devise exploring this concept has been presented in a previous work (Kostoglou et al., 2011). The present work adds to the theoretical background of the proposed devise. The particular case of zero Bond number is studied theoretically here. Even in its simplest form the particular system exhibits an interesting behavior. It is shown that there are two rupture modes of the liquid bridge as the liquid volume decreases i.e. neck rupture and film rupture. The prevailing one depends on system parameters. The evolution of the bubble size as the liquid volume decreases up to rupture, is extensively studied.