Dynamics of particle aggregation in dewetting films of complex liquids
arXiv:2404.19701 · doi:10.1017/jfm.2024.466
Abstract
We consider the dynamic wetting and dewetting processes of films and droplets of complex liquids on planar surfaces, focusing on the case of colloidal suspensions, where the particle interactions can be sufficiently attractive to cause agglomeration of the colloids within the film. This leads to an interesting array of dynamic behaviours within the liquid and of the liquid-air interface. Incorporating concepts from thermodynamics and using the thin-film approximation, we construct a model consisting of a pair of coupled partial differential equations that represent the evolution of the liquid film and the effective colloidal height profiles. We determine the relevant phase behaviour of the uniform system, including finding associated binodal and spinodal curves, helping to uncover how the emerging behaviour depends on the particle interactions. Performing a linear stability analysis of our system enables us to identify parameter regimes where agglomerates form, which we independently confirm through numerical simulations and continuation of steady states, to construct bifurcation diagrams. We obtain various dynamics such as uniform colloidal profiles in an unstable situation evolving into agglomerates and thus elucidate the interplay between dewetting and particle aggregation in complex liquids on surfaces.
arXiv comment39 pages, 18 figures
References in corpus (29)
- Patterned deposition at moving contact lines
- Dynamical model for the formation of patterned deposits at receding contact lines
- Front instabilities in evaporatively dewetting nanofluids
- Gradient dynamics models for liquid films with soluble surfactant
- Modelling the formation of structured deposits at receding contact lines of evaporating solutions and suspensions
- Gradient dynamics description for films of mixtures and suspensions - the case of dewetting triggered by coupled film height and concentration fluctuations
- Recent advances in and future challenges for mesoscopic hydrodynamic modelling of complex wetting
- How ice grows from premelting films and water droplets
- Modelling of surfactant-driven front instabilities in spreading bacterial colonies
- Liquid drops on a surface: using density functional theory to calculate the binding potential and drop profiles and comparing with results from mesoscopic modelling
- Nonlinear dynamics of phase separation in thin films
- Contact-line deposits from multiple evaporating droplets
- Gradient-dynamics model for liquid drops on elastic substrates
- Dynamical density functional theory for the dewetting of evaporating thin films of nanoparticle suspensions exhibiting pattern formation
- 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
- Sessile drop evaporation in a gap -- crossover between diffusion-limited and phase transition-limited regime
- Rounded Layering Transitions on the Surface of Ice
- Surface van der Waals Forces in a Nutshell
- Dynamical density functional theory for the evaporation of droplets of nanoparticle suspension
- Dynamical density functional theory for orientable colloids including inertia and hydrodynamic interactions
- Coarsening modes of clusters of aggregating particles
- Non-equilibrium configurations of swelling polymer brush layers induced by spreading drops of weakly volatile oil
- Two-dimensional pulse dynamics and the formation of bound states on electrified falling films
- Evaporation of non-circular droplets
- Kinetic Monte Carlo and hydrodynamic modelling of droplet dynamics on surfaces, including evaporation and condensation
- Effect of driving on coarsening dynamics in phase-separating systems
- On the transition to dripping of an inverted liquid film