Recent advances in and future challenges for mesoscopic hydrodynamic modelling of complex wetting

Abstract

We highlight some recent developments that widen the scope and reach of mesoscopic thin-film (or long-wave) hydrodynamic models employed to describe the dynamics of thin films, drops and contact lines of simple and complex liquids on solid substrates. The basis of the discussed developments is the reformulation of various mesoscopic thin-film hydrodynamic models as gradient dynamics on underlying energy functionals. After briefly presenting the general approach, the following sections discuss how to improve these models by amending the energy functional and the mobility function, how to obtain gradient dynamics models for some complex liquids, and how to incorporate processes beyond relaxational dynamics.

References in corpus (31)

• A variational approach to the moving contact line hydrodynamics
• Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
• Precursor films in wetting phenomena
• Morphology changes in the evolution of liquid two-layer films
• Free surface flows with large slopes: beyond lubrication theory
• Relaxation of a dewetting contact line Part 1: A full-scale hydrodynamic calculation
• Thermal noise influences fluid flow in thin films during spinodal dewetting
• Gradient dynamics models for liquid films with soluble surfactant
• Modelling the formation of structured deposits at receding contact lines of evaporating solutions and suspensions
• Parameter passing between Molecular Dynamics and continuum models for droplets on solid substrates - The static case
• Liquid drops on a surface: using density functional theory to calculate the binding potential and drop profiles and comparing with results from mesoscopic modelling
• Thermodynamically consistent description of the hydrodynamics of free surfaces covered by insoluble surfactants of high concentration
• Morphological transitions of sliding drops: Dynamics and bifurcations
• Persistent vs. arrested spreading of biofilms at solid-gas interfaces - the role of surface forces
• Equilibrium contact angle and adsorption layer properties with surfactants
• Concentration fluctuations and phase transitions in coupled modulated bilayers
• Influence of the fluid structure on the binding potential: comparing liquid drop profiles from density functional theory with results from mesoscopic theory
• Bifurcation analysis of the behavior of partially wetting liquids on a rotating cylinder
• Films, layers and droplets: The effect of near-wall fluid structure on spreading dynamics
• Non-Equilibrium Gibbs' Criterion for Completely Wetting Volatile Liquids
• Discrete self-similarity in interfacial hydrodynamics and the formation of iterated structures
• Sliding drops - ensemble statistics from single drop bifurcations
• From a thin film model for passive suspensions towards the description of osmotic biofilm spreading
• A thin film model for corotational Jeffreys fluids under strong slip
• Self-similar finite-time singularity formation in degenerate parabolic equations arising in thin-film flows
• Stability of thin fluid films characterised by a complex form of structural/effective disjoining pressure
• Thin film dynamics with surfactant phase transition
• A dynamical systems approach for the contact-line singularity in thin-film flows
• Comparing kinetic Monte Carlo and Thin-Film Modeling of Transversal Instabilities of Ridges on Patterned Substrates
• Nudged Elastic Band calculation of the binding potential for liquids at interfaces
• Mode instabilities and dynamic patterns in a colony of self-propelled surfactant particles covering a thin liquid layer

Cited by in corpus (27)

• Classical dynamical density functional theory: from fundamentals to applications
• Suppression of coarsening and emergence of oscillatory behavior in a Cahn-Hilliard model with nonvariational coupling
• Projection operators in statistical mechanics: a pedagogical approach
• Gradient-dynamics model for liquid drops on elastic substrates
• First order phase transitions and the thermodynamic limit
• Sessile drop evaporation in a gap -- crossover between diffusion-limited and phase transition-limited regime
• Gradient dynamics model for drops spreading on polymer brushes
• Soft wetting with (a)symmetric Shuttleworth effect
• Flow-driven collapse of lubricant-infused surfaces
• Drops on polymer brushes -- advances in thin-film modelling of adaptive substrates
• Connecting monotonic and oscillatory motions of the meniscus of a volatile polymer solution to the transport of polymer coils and deposit morphology
• Coarsening and wavelength selection far from equilibrium: a unifying framework based on singular perturbation theory
• Stick-slip Dynamics in the Forced Wetting of Polymer Brushes
• Non-equilibrium configurations of swelling polymer brush layers induced by spreading drops of weakly volatile oil
• Effects of time-periodic forcing in a Cahn-Hilliard model for Langmuir-Blodgett transfer
• Two-dimensional patterns in dip coating -- first steps on the continuation path
• The role of substrate mechanics in osmotic biofilm spreading
• The collective behaviour of ensembles of condensing liquid drops on heterogeneous inclined substrates
• Dynamics of particle aggregation in dewetting films of complex liquids
• Droplets on substrates with oscillating wettability
• Gradient dynamics approach to reactive thin-film hydrodynamics
• Mesoscopic hydrodynamic model for spreading, sliding and coarsening compound drops
• Drops of volatile binary mixtures on brush-covered substrates
• Bifurcation study for a surface-acoustic-wave driven meniscus
• Gradient dynamics model for drops of volatile liquid on a porous substrate
• Gradient dynamics model for chemically driven running drops
• Steady states and dynamics of a thin film-type equation with non-conserved mass