Slow gravity-driven migration and interaction of a bubble and a solid particle near a free surface

Abstract : The axisymmetric gravity-driven migration of two interacting bubble and solid particle near a free surface is examined. The solid particle location and the bubble and free surface shapes are numerically tracked in time. This is done by solving at each time step a steady Stokes problem (with mixed-type boundary conditions) owing to a boundary approach which makes it possible to reduce the task to the treatment of two boundary-integral equations on the unbounded liquid domain boundary. The theoretical material and the relevant numerical implementation, valid for a bubble and a free surface with either equal or unequal uniform surface tensions, are briefly described and preliminary numerical results for a nearly-neutrally buoyant solid sphere interacting with a bubble and a free surface with equal surface tensions are presented.
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  • HAL Id : hal-01519285, version 1

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Marine Guémas, Antoine Sellier, Franck Pigeonneau. Slow gravity-driven migration and interaction of a bubble and a solid particle near a free surface. International Conference on Boundary Element and Meshless Techniques XV, Jul 2014, Florence, Italy. ⟨hal-01519285⟩

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