Foams in contact with solid boundaries: equilibrium conditions and conformal invariance

Details Foams in contact with solid boundaries: equilibrium conditions and conformal invariance Foams in contact with solid boundaries: equilibrium conditions and conformal invariance

2005-01-14

arxiv.org/abs/cond-mat/0501334v1

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 7 figures

Scientific paper

10.1140/epje/i2004-10133-x

A liquid foam in contact with a solid surface forms a two-dimensional foam on the surface. We derive the equilibrium equations for this 2D foam when the solid surface is curved and smooth, generalising the standard case of flat Hele Shaw cells. The equilibrium conditions at the vertices in 2D, at the edges in 3D, are invariant by conformal transformations. Regarding the films, conformal invariance only holds with restrictions, which we explicit for 3D and flat 2D foams. Considering foams confined in thin interstices between two non parallel plates, normal incidence and Laplace's law lead to an approximate equation relating the plate profile to the conformal map. Solutions are given for the logarithm and power laws in the case of constant pressure. The paper concludes on a comparison with available experimental data.

Affiliated with

Also associated with

No associations

Rating

Foams in contact with solid boundaries: equilibrium conditions and conformal invariance does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Foams in contact with solid boundaries: equilibrium conditions and conformal invariance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Foams in contact with solid boundaries: equilibrium conditions and conformal invariance will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-87598