Derivation of a continuum model and the energy law for moving contact lines with insoluble surfactants

dc.contributor.author

Zhang, Z

dc.contributor.author

Xu, S

dc.contributor.author

Ren, W

dc.date.accessioned

2023-05-31T08:05:53Z

dc.date.available

2023-05-31T08:05:53Z

dc.date.issued

2014-06-05

dc.date.updated

2023-05-31T08:05:53Z

dc.description.abstract

A continuous model is derived for the dynamics of two immiscible fluids with moving contact lines and insoluble surfactants based on thermodynamic principles. The continuum model consists of the Navier-Stokes equations for the dynamics of the two fluids and a convection-diffusion equation for the evolution of the surfactant on the fluid interface. The interface condition, the boundary condition for the slip velocity, and the condition for the dynamic contact angle are derived from the consideration of energy dissipations. Different types of energy dissipations, including the viscous dissipation, the dissipations on the solid wall and at the contact line, as well as the dissipation due to the diffusion of surfactant, are identified from the analysis. A finite element method is developed for the continuum model. Numerical experiments are performed to demonstrate the influence of surfactant on the contact line dynamics. The different types of energy dissipations are compared numerically. © 2014 AIP Publishing LLC.

dc.identifier.issn

1070-6631

dc.identifier.issn

1089-7666

dc.identifier.uri

https://hdl.handle.net/10161/27458

dc.language

en

dc.publisher

AIP Publishing

dc.relation.ispartof

Physics of Fluids

dc.relation.isversionof

10.1063/1.4881195

dc.subject

Science & Technology

dc.subject

Technology

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Physical Sciences

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Mechanics

dc.subject

Physics, Fluids & Plasmas

dc.subject

Physics

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FRONT-TRACKING METHOD

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LEVEL-SET METHOD

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INTERFACIAL FLOWS

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SOLUBLE SURFACTANTS

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2-PHASE FLOWS

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DROP DEFORMATION

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FLUID INTERFACE

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TRANSPORT

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VISCOSITY

dc.subject

DYNAMICS

dc.title

Derivation of a continuum model and the energy law for moving contact lines with insoluble surfactants

dc.type

Journal article

duke.contributor.orcid

Xu, S|0000-0002-8207-7313

pubs.begin-page

062103

pubs.end-page

062103

pubs.issue

6

pubs.organisational-group

Duke

pubs.organisational-group

Duke Kunshan University

pubs.organisational-group

DKU Faculty

pubs.publication-status

Published

pubs.volume

26

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