Vortex-in-cell simulations of buoyant bubbles in three dimensions

The three‐dimensional evolution of one and two inviscid buoyant bubbles is studied. The study considers evolution of the buoyant bubble from the initial spherical state to the point where the bubble has formed into a vortex ring. The effect of the nonlinear interaction between two bubbles upon this evolution is also considered. This research considered a variety of density jumps across the interface with Atwood numbers ranging from 0.5 to nearly 1.0. The studies were performed with the three‐dimensional vortex‐in‐cell code, VINCE3D. The results indicate that the evolution of either one or two bubbles follows scaling predicted from the equations being solved. This scaling holds until the bubbles become nonlinearly involved.

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