(535i) Theory for Thin-Film Evolution Between a Sphere and a Planar Free Surface
AIChE Annual Meeting
Wednesday, November 16, 2016 - 2:30pm to 2:45pm
In this talk, the theoretical problem of a sphere passing through an initially planar, fluid-fluid interface is discussed, with the particular aim of explaining observations 1 and 2 above. The theory is built up under the auspice of the thin-film approximation, with suitable homage paid to prior theoretical descriptions. The deformation is computed for axisymmetric films for all time. The importance of three length scales in the problem, namely the capillary length, the sphere radius, and the characteristic thickness of the film, are illuminated in light of the new theory. Four regimes of the motion are characterized, namely the approach, penetration, drainage, and eventual rupture of the thin film. The implications for the mechanics of concentrated emulsions and foams are discussed.