Decomposition driven interface evolution for layers of binary mixtures: {II}. Influence of convective transport on linear stability

Abstract

We study the linear stability with respect to lateral perturbations of free surface films of polymer mixtures on solid substrates. The study focuses on the stability properties of the stratified and homogeneous steady film states studied in Part I [U. Thiele, S. Madruga and L. Frastia, Phys. Fluids 19, 122106 (2007)]. To this aim, the linearized bulk equations and boundary equations are solved using continuation techniques for several different cases of energetic bias at the surfaces, corresponding to linear and quadratic solutal Marangoni effects. For purely diffusive transport, an increase in film thickness either exponentially decreases the lateral instability or entirely stabilizes the film. Including convective transport leads to a further destabilization as compared to the purely diffusive case. In some cases the inclusion of convective transport and the related widening of the range of available film configurations (it is then able to change its surface profile) change the stability behavior qualitatively. We furthermore present results regarding the dependence of the instability on several other parameters, namely, the Reynolds number, the Surface tension number and the ratio of the typical velocities of convective and diffusive transport.

Published in Physics of Fluics

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Cited by in corpus (8)

• Nonlinear dynamics of phase separation in thin films
• Capillary condensation of saturated vapor in a corner formed by two intersecting walls
• The multicomponent diffuse-interface model and its application to water/air interfaces
• Binding potential and wetting behaviour of binary liquid mixtures on surfaces
• Asymptotic reductions of the diffuse-interface model, with applications to contact lines in fluids
• Dynamics of a drop floating in vapor of the same fluid
• The dynamics of liquid films, as described by the diffuse-interface model
• Can a liquid drop on a substrate be in equilibrium with saturated vapor?