Decomposition driven interface evolution for layers of binary mixtures: I. Model derivation and stratified base states
Abstract
A dynamical model is proposed to describe the coupled decomposition and profile evolution of a free surface film of a binary mixture. An example is a thin film of a polymer blend on a solid substrate undergoing simultaneous phase separation and dewetting. The model is based on model-H describing the coupled transport of the mass of one component (convective Cahn-Hilliard equation) and momentum (Navier-Stokes-Korteweg equations) supplemented by appropriate boundary conditions at the solid substrate and the free surface. General transport equations are derived using phenomenological non-equilibrium thermodynamics for a general non-isothermal setting taking into account Soret and Dufour effects and interfacial viscosity for the internal diffuse interface between the two components. Focusing on an isothermal setting the resulting model is compared to literature results and its base states corresponding to homogeneous or vertically stratified flat layers are analysed.
Cite
@article{arxiv.0707.3374,
title = {Decomposition driven interface evolution for layers of binary mixtures: I. Model derivation and stratified base states},
author = {Uwe Thiele and Santiago Madruga and Lubor Frastia},
journal= {arXiv preprint arXiv:0707.3374},
year = {2013}
}
Comments
Submitted to Physics of Fluids