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Local vortex formation in bursting air bubble collapsing process

Abstract : The numerical simulation of an air bubble bursting at a free surface was made in a potential flow of a viscous fluid assumption, through the Boundary Element Method (BEM). Such a collapsing process may involve local vortex formation leading to the air-liquid interface pinching-off. Within the BEM formulation, the velocity field and the potential field can be expressed in terms of either a distribution of dipoles over the interface, either a distribution of vortices (a sheet vortex) over the interface, due to the equivalence between the dipole and the vortex representation. We highlight that a potential flow is imposed to the liquid, so that the vorticity is confined only at the air-liquid interface, and it cannot diffuse outside the interface. We found vortex configurations attached to some specific regions of the interface, where high velocities appear at points of strong curvature. Those vortex configurations may produce the interface rupture and air entrainment during the parent-bubble collapsing process. Once the velocity field is obtained through BEM over the whole interface (the velocity potential is explicitly given under integral form), it can be extended by subsequent computation to the adjacent liquid, in order to obtain the velocity field.
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  • HAL Id : hal-00182341, version 1

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Sanda-Carmen Georgescu, Edouard Canot, Jean-Luc Achard. Local vortex formation in bursting air bubble collapsing process. Workshop on Vortex Dominated Flows – Achievements and Open Problems, Jun 2005, Timisoara, Romania. ⟨hal-00182341⟩

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