Surfactant effects on buoyancy-driven viscous interactions of deformable drops

Michael A Rother, Alexander Z. Zinchenko, Robert H. Davis

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Buoyancy-driven interactions of two deformable drops with a bulk-insoluble, nonionic surfactant are studied with a curvatureless boundary-integral algorithm. At moderate drop-to-medium viscosity ratios with a linear equation of state, the surfactant causes breakup of the larger drop to become dominant over breakup of the smaller drop at O (0.1) values of the dimensionless gas constant β for a surface Péclet number P es of 100. For P es ≤ 10, the surfactant has little effect on breakup for β ≤ 0.2. For P es = 1000, critical horizontal offsets for breakup of the larger drop exceed those for breakup of the smaller drop at β = O (0.01). The influence of surfactant on the deformation and breakup of the smaller drop increases when it becomes closer in size to that of the larger drop. Surfactant effects are less significant when the drop-to-medium viscosity ratio is greater than unity. For the case of bubbles, at P es = 100, the surfactant is swept to the trailing edges early in the trajectories and leads to cusp formation at β = O (0.01).

Original languageEnglish (US)
Pages (from-to)50-60
Number of pages11
JournalColloids and Surfaces A: Physicochemical and Engineering Aspects
Volume282-283
DOIs
StatePublished - Jul 20 2006

Fingerprint

Buoyancy
buoyancy
Surface-Active Agents
Surface active agents
surfactants
interactions
viscosity
Viscosity
trailing edges
linear equations
cusps
Nonionic surfactants
Linear equations
Equations of state
unity
equations of state
bubbles
trajectories
Gases
Trajectories

Keywords

  • Bubbles
  • Drops
  • Surfactants

Cite this

Surfactant effects on buoyancy-driven viscous interactions of deformable drops. / Rother, Michael A; Zinchenko, Alexander Z.; Davis, Robert H.

In: Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 282-283, 20.07.2006, p. 50-60.

Research output: Contribution to journalArticle

@article{c365ae08b1ef4fb89b23f2e6611fbb5a,
title = "Surfactant effects on buoyancy-driven viscous interactions of deformable drops",
abstract = "Buoyancy-driven interactions of two deformable drops with a bulk-insoluble, nonionic surfactant are studied with a curvatureless boundary-integral algorithm. At moderate drop-to-medium viscosity ratios with a linear equation of state, the surfactant causes breakup of the larger drop to become dominant over breakup of the smaller drop at O (0.1) values of the dimensionless gas constant β for a surface P{\'e}clet number P es of 100. For P es ≤ 10, the surfactant has little effect on breakup for β ≤ 0.2. For P es = 1000, critical horizontal offsets for breakup of the larger drop exceed those for breakup of the smaller drop at β = O (0.01). The influence of surfactant on the deformation and breakup of the smaller drop increases when it becomes closer in size to that of the larger drop. Surfactant effects are less significant when the drop-to-medium viscosity ratio is greater than unity. For the case of bubbles, at P es = 100, the surfactant is swept to the trailing edges early in the trajectories and leads to cusp formation at β = O (0.01).",
keywords = "Bubbles, Drops, Surfactants",
author = "Rother, {Michael A} and Zinchenko, {Alexander Z.} and Davis, {Robert H.}",
year = "2006",
month = "7",
day = "20",
doi = "10.1016/j.colsurfa.2005.11.086",
language = "English (US)",
volume = "282-283",
pages = "50--60",
journal = "Colloids and Surfaces A: Physicochemical and Engineering Aspects",
issn = "0927-7757",
publisher = "Elsevier",

}

TY - JOUR

T1 - Surfactant effects on buoyancy-driven viscous interactions of deformable drops

AU - Rother, Michael A

AU - Zinchenko, Alexander Z.

AU - Davis, Robert H.

PY - 2006/7/20

Y1 - 2006/7/20

N2 - Buoyancy-driven interactions of two deformable drops with a bulk-insoluble, nonionic surfactant are studied with a curvatureless boundary-integral algorithm. At moderate drop-to-medium viscosity ratios with a linear equation of state, the surfactant causes breakup of the larger drop to become dominant over breakup of the smaller drop at O (0.1) values of the dimensionless gas constant β for a surface Péclet number P es of 100. For P es ≤ 10, the surfactant has little effect on breakup for β ≤ 0.2. For P es = 1000, critical horizontal offsets for breakup of the larger drop exceed those for breakup of the smaller drop at β = O (0.01). The influence of surfactant on the deformation and breakup of the smaller drop increases when it becomes closer in size to that of the larger drop. Surfactant effects are less significant when the drop-to-medium viscosity ratio is greater than unity. For the case of bubbles, at P es = 100, the surfactant is swept to the trailing edges early in the trajectories and leads to cusp formation at β = O (0.01).

AB - Buoyancy-driven interactions of two deformable drops with a bulk-insoluble, nonionic surfactant are studied with a curvatureless boundary-integral algorithm. At moderate drop-to-medium viscosity ratios with a linear equation of state, the surfactant causes breakup of the larger drop to become dominant over breakup of the smaller drop at O (0.1) values of the dimensionless gas constant β for a surface Péclet number P es of 100. For P es ≤ 10, the surfactant has little effect on breakup for β ≤ 0.2. For P es = 1000, critical horizontal offsets for breakup of the larger drop exceed those for breakup of the smaller drop at β = O (0.01). The influence of surfactant on the deformation and breakup of the smaller drop increases when it becomes closer in size to that of the larger drop. Surfactant effects are less significant when the drop-to-medium viscosity ratio is greater than unity. For the case of bubbles, at P es = 100, the surfactant is swept to the trailing edges early in the trajectories and leads to cusp formation at β = O (0.01).

KW - Bubbles

KW - Drops

KW - Surfactants

UR - http://www.scopus.com/inward/record.url?scp=33744513949&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33744513949&partnerID=8YFLogxK

U2 - 10.1016/j.colsurfa.2005.11.086

DO - 10.1016/j.colsurfa.2005.11.086

M3 - Article

AN - SCOPUS:33744513949

VL - 282-283

SP - 50

EP - 60

JO - Colloids and Surfaces A: Physicochemical and Engineering Aspects

JF - Colloids and Surfaces A: Physicochemical and Engineering Aspects

SN - 0927-7757

ER -