Instability and dynamics of volatile thin films

TL;DR

This paper investigates the complex behaviors of volatile thin films on solid substrates, analyzing instabilities, pattern formation, and droplet dynamics through theoretical and numerical methods.

Contribution

It introduces a comprehensive one-sided model incorporating surface tension, intermolecular forces, and evaporation effects, revealing new insights into film stability and pattern evolution.

Findings

Identified regimes dominated by evaporation or condensation.

Analyzed interfacial instabilities via linear stability analysis.

Observed rich droplet dynamics including merging and symmetry breaking.

Abstract

Volatile viscous fluids on partially-wetting solid substrates can exhibit interesting interfacial instabilities and pattern formation. We study the dynamics of vapor condensation and fluid evaporation governed by a one-sided model in a low Reynolds number lubrication approximation incorporating surface tension, intermolecular effects and evaporative fluxes. Parameter ranges for evaporation- dominated and condensation-dominated regimes and a critical case are identified. Interfacial instabilities driven by the competition between the disjoining pressure and evaporative effects are studied via linear stability analysis. Transient pattern formation in nearly-flat evolving films in the critical case is investigated. In the weak evaporation limit unstable modes of finite amplitude non-uniform steady states lead to rich droplet dynamics, including flattening, symmetry breaking, and droplet merging. Numerical simulations show long time behaviors leading to evaporation or condensation are sensitive to transitions between film-wise and drop-wise dynamics.