Viscous froth model for a bubble staircase structure under rapid applied shear: an analysis of fast flowing foam

T. E. Green, P. Grassia, L. Lue, B. Embley

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The viscous froth model is applied to the rapid shear of '2-dimensional', dry foams for bubbles confined in a monolayer and arranged in an ordered staircase configuration that forms part of a hexagonal honeycomb Structure. High system energies are attained as particular films in the staircase become highly elongated under shear. Topological transformations during which bubbles exchange neighbours can relax the staircase energy, but their onset is postponed at high shear rates. Moreover as the imposed shear rate increases, the rate at which topological transformations subsequently occur cannot keep pace with the imposed shear, and secular film stretching onsets. A critical capillary number (a dimension less measure of shear rate) separates a regime where film lengths are periodic functions of imposed strain from a regime of secular growth.
LanguageEnglish
Pages49-58
Number of pages10
JournalColloids and Surfaces A: Physicochemical and Engineering Aspects
Volume348
Issue number1-3
DOIs
Publication statusPublished - 20 Sep 2009

Fingerprint

stairways
foams
Shear deformation
Foams
bubbles
shear
Honeycomb structures
Stretching
Monolayers
honeycomb structures
periodic functions
energy
configurations

Keywords

  • 2-Dimensional foam
  • foam shear flow
  • shear-induced breakdown
  • viscous froth model
  • mathematical modelling

Cite this

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abstract = "The viscous froth model is applied to the rapid shear of '2-dimensional', dry foams for bubbles confined in a monolayer and arranged in an ordered staircase configuration that forms part of a hexagonal honeycomb Structure. High system energies are attained as particular films in the staircase become highly elongated under shear. Topological transformations during which bubbles exchange neighbours can relax the staircase energy, but their onset is postponed at high shear rates. Moreover as the imposed shear rate increases, the rate at which topological transformations subsequently occur cannot keep pace with the imposed shear, and secular film stretching onsets. A critical capillary number (a dimension less measure of shear rate) separates a regime where film lengths are periodic functions of imposed strain from a regime of secular growth.",
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T1 - Viscous froth model for a bubble staircase structure under rapid applied shear

T2 - Colloids and Surfaces A: Physicochemical and Engineering Aspects

AU - Green, T. E.

AU - Grassia, P.

AU - Lue, L.

AU - Embley, B.

PY - 2009/9/20

Y1 - 2009/9/20

N2 - The viscous froth model is applied to the rapid shear of '2-dimensional', dry foams for bubbles confined in a monolayer and arranged in an ordered staircase configuration that forms part of a hexagonal honeycomb Structure. High system energies are attained as particular films in the staircase become highly elongated under shear. Topological transformations during which bubbles exchange neighbours can relax the staircase energy, but their onset is postponed at high shear rates. Moreover as the imposed shear rate increases, the rate at which topological transformations subsequently occur cannot keep pace with the imposed shear, and secular film stretching onsets. A critical capillary number (a dimension less measure of shear rate) separates a regime where film lengths are periodic functions of imposed strain from a regime of secular growth.

AB - The viscous froth model is applied to the rapid shear of '2-dimensional', dry foams for bubbles confined in a monolayer and arranged in an ordered staircase configuration that forms part of a hexagonal honeycomb Structure. High system energies are attained as particular films in the staircase become highly elongated under shear. Topological transformations during which bubbles exchange neighbours can relax the staircase energy, but their onset is postponed at high shear rates. Moreover as the imposed shear rate increases, the rate at which topological transformations subsequently occur cannot keep pace with the imposed shear, and secular film stretching onsets. A critical capillary number (a dimension less measure of shear rate) separates a regime where film lengths are periodic functions of imposed strain from a regime of secular growth.

KW - 2-Dimensional foam

KW - foam shear flow

KW - shear-induced breakdown

KW - viscous froth model

KW - mathematical modelling

U2 - 10.1016/j.colsurfa.2009.06.028

DO - 10.1016/j.colsurfa.2009.06.028

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SP - 49

EP - 58

JO - Colloids and Surfaces A: Physicochemical and Engineering Aspects

JF - Colloids and Surfaces A: Physicochemical and Engineering Aspects

SN - 0927-7757

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