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

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.
Authors:
;  [1] ;  [1] ;  [2]
  1. Department of Mathematics, National University of Singapore, Singapore 119076 (Singapore)
  2. (Singapore)
Publication Date:
OSTI Identifier:
22311306
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Fluids (1994); Journal Volume: 26; Journal Issue: 6; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY CONDITIONS; COMPARATIVE EVALUATIONS; CONVECTION; DIFFUSION; DIFFUSION EQUATIONS; ENERGY LOSSES; FINITE ELEMENT METHOD; FLUIDS; INTERFACES; NAVIER-STOKES EQUATIONS; SLIP VELOCITY; SURFACTANTS