Viscous Rayleigh-Taylor instability in aqueous foams

Peter S. Stewart, Stephen H. Davis, Sascha Hilgenfeldt

Research output: Contribution to journalArticle

Abstract

We consider the stability of a long soap film as it is accelerated broadside into a region of passive gas, in which the receding interface is unstable via the Rayleigh-Taylor mechanism. In particular, we examine how the growth rate of the unstable mode depends on the viscosity of the liquid and the surfactant distribution, showing that the maximal growth rate and the corresponding wavenumber both decrease as the solutal Marangoni number of the system increases. We examine the consequences of these results for the brittle fracture of aqueous foams, where Rayleigh-Taylor instabilities provide a mechanism for film rupture. For a range of Reynolds and solutal Marangoni numbers, a strong dependence of the instability on the film size is predicted.

Original languageEnglish (US)
Pages (from-to)898-905
Number of pages8
JournalColloids and Surfaces A: Physicochemical and Engineering Aspects
Volume436
DOIs
StatePublished - Sep 5 2013

Fingerprint

Taylor instability
foams
Foams
soaps
Soaps (detergents)
Brittle fracture
Surface-Active Agents
Surface active agents
Gases
surfactants
Viscosity
viscosity
Liquids
liquids
gases

Keywords

  • Complex fluids
  • Foams
  • Rayleigh-Taylor instabilities

ASJC Scopus subject areas

  • Surfaces and Interfaces
  • Physical and Theoretical Chemistry
  • Colloid and Surface Chemistry

Cite this

Viscous Rayleigh-Taylor instability in aqueous foams. / Stewart, Peter S.; Davis, Stephen H.; Hilgenfeldt, Sascha.

In: Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 436, 05.09.2013, p. 898-905.

Research output: Contribution to journalArticle

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