Approach to Universality in Axisymmetric Bubble Pinch-Off
arXiv:0904.2305 · doi:10.1103/PhysRevE.80.036305
Abstract
The pinch-off of an axisymmetric air bubble surrounded by an inviscid fluid is compared in four physical realizations: (i) cavity collapse in the wake of an impacting disc, (ii) gas bubbles injected through a small orifice, (iii) bubble rupture in a straining flow, and (iv) a bubble with an initially necked shape. Our boundary-integral simulations suggest that all systems eventually follow the universal behavior characterized by slowly varying exponents predicted in [Eggers et al., PRL 98, 094502 (2007)]. However, the time scale for the onset of this final regime is found to vary by orders of magnitude depending on the system in question: while for the impacting disc it is well in the millisecond range, for the gas injection needle universal behavior sets in only a few microseconds before pinch-off. These findings reconcile the different views expressed in recent literature about the universal nature of bubble pinch-off.
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- Collapse of Non-Axisymmetric Cavities
- A universal shape function for rising jets
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- The Formation of a Bubble from a Submerged Orifice
- Pinch-off of underwater air bubbles with up--down asymmetry
- How elasticity affects bubble pinch-off