Dynamics of nanodroplets on topographically structured substrates
arXiv:0905.4831 · doi:10.1088/0953-8984/21/46/464120
Abstract
Mesoscopic hydrodynamic equations are solved to investigate the dynamics of nanodroplets positioned near a topographic step of the supporting substrate. Our results show that the dynamics depends on the characteristic length scales of the system given by the height of the step and the size of the nanodroplets as well as on the constituting substances of both the nanodroplets and the substrate. The lateral motion of nanodroplets far from the step can be described well in terms of a power law of the distance from the step. In general the direction of the motion depends on the details of the effective laterally varying intermolecular forces. But for nanodroplets positioned far from the step it is solely given by the sign of the Hamaker constant of the system. Moreover, our study reveals that the steps always act as a barrier for transporting liquid droplets from one side of the step to the other.
44 pages, 25 figures
References in corpus (15)
- Influence of surface roughness on superhydrophobicity
- Modelling droplets on superhydrophobic surfaces: equilibrium states and transitions
- Geometry dominated fluid adsorption on sculptured substrates
- Spontaneous Breakdown of Superhydrophobicity
- Thermal noise influences fluid flow in thin films during spinodal dewetting
- Dewetting of thin films on heterogeneous substrates: Pinning vs. coarsening
- Asymptotic theory for a moving droplet driven by a wettability gradient
- Complete Wetting of Nanosculptured Substrates
- Slip-controlled thin film dynamics
- Complete Wetting of Pits and Grooves
- Statics and dynamics of a cylindrical droplet under an external body force
- Motion of nanodroplets near edges and wedges
- Pearling instability of nanoscale fluid flow confined to a chemical channel
- Stability of liquid ridges on chemical micro- and nanostripes
- Size dependent motion of nanodroplets on chemical steps
Cited by in corpus (4)
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- Mesoscopic analysis of Gibbs' criterion for sessile nanodroplets on trapezoidal substrates
- Modelling the evaporation of nanoparticle suspensions from heterogeneous surfaces
- Stability of thin liquid films and sessile droplets under confinement