Drop shapes and internal flow patterns by numerical solution of the Navier-- Stokes equations

Abstract

The shape of and flow patterns within a hypothetical separating drop were determined by numerical solution of the Navier-Stokes equations. The drop was hypothetical , sense that it separated because the surface tension force restraining it was reduced at the start of calculation. However, the velocity distributions and shape of the drop resemble those of an actual drop as it separates. Considerable surface stretch was observed at the sides of the drop and very little at the apex. The flow pattern within the drop was found to approach plug flow in the direction of gravity when the drop began to stretch out. These results were also observed when a surface tension force was applied at the interface.

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