Session BF: Interfacial and Thin Film Instabilities II

10:56 AM–12:40 PM, Sunday, November 20, 2005
Hilton Chicago Room: Continental C

Chair: Igor Kliakhandler, Michigan Tech. University

Abstract ID: BAPS.2005.DFD.BF.5

Abstract: BF.00005 : Tip singularity on a liquid-gas interface

11:48 AM–12:01 PM

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Authors:

  Sylvain Courrech du Pont
  Jens Eggers
    (University of Bristol)

In our experiment, an interface between a viscous liquid and air is deformed by a sink flow of constant flow rate to form a sharp tip. The interface shape is recorded using a microscope with 1 $\rm{\mu m}$ resolution. The curvature at the tip is controlled by the distance $h$ between the tip and the sink. As a critical distance $h^{\star}$ is approached, the curvature diverges like $1/(h-h^{\star})^3$ and the tip becomes cone-shaped. As the distance to the sink is decreased further, the opening angle of the cone vanishes like $h^2$. No evidence for air entrainment was found, except when the tip was inside the orifice.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2005.DFD.BF.5