Relaxation Time of the Topological T1 Process in a Two-Dimensional Foam

Marc Durand and Howard A. Stone
Phys. Rev. Lett. 97, 226101 – Published 28 November 2006

Abstract

The elementary topological T1 process in a two-dimensional foam corresponds to the flip of one film with respect to the geometrical constraints, and is a process by which the structure of an out-of-equilibrium foam evolves. We study both experimentally and theoretically the T1 dynamics in a dry two-dimensional foam. The dynamics is controlled by the surface viscoelastic properties of the films (surface shear plus dilatational viscosity, μs+κ, and Gibbs elasticity ϵ), and is independent of the shear viscosity of the bulk liquid. Moreover, the dynamics of the T1 process provides a tool for measuring the surface rheological properties: we obtained ϵ=32±8mN/m and μs+κ=1.3±0.7mPa·m·s for sodium dodecyl sulfate, and ϵ=65±12mN/m and μs+κ=31±12mPa·m·s for bovine serum albumin, in good agreement with literature values.

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  • Received 18 August 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.226101

©2006 American Physical Society

Authors & Affiliations

Marc Durand*

  • Matière et Systèmes Complexes-UMR 7057 CNRS & Université Paris 7-Denis Diderot, 2 Place Jussieu, 75251 Paris Cedex 05, France

Howard A. Stone

  • DEAS, Harvard University, Cambridge Massachusetts 02138, USA

  • *Electronic address: marc.durand@paris7.jussieu.fr
  • Electronic address: has@deas.harvard.edu

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Vol. 97, Iss. 22 — 1 December 2006

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