Modeling the gentle bouncing and subsequent film drainage of a buoyant drop approaching a horizontal wall
by Khurram Kamran
Abstract: We develop a mathematical model for the approach of a buoyant and deforming drop in another fluid towards a horizontal wall. We have studied its deformation on impact, bouncing and subsequent approach to equilibrium via thin film drainage to a stable film. We use a small-deformation treatment and viscous potential theory to develop evolution equations for the deformation modes of a translating drop. The equations are coupled to both translational motion and thin film drainage to provide a consistent picture over the whole drop-wall interaction. Comparisons are made with experiments on oil droplets of millimeter size in salt solution.
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