Journal article
A finite-element method model for droplets moving down a hydrophobic surface
We set up a 2D computational Finite-Element Method (FEM) model describing the initial descent of a droplet down an inclined hydrophobic substrate. We solve the full Navier-Stokes equations inside the drop domain, and use the arbitrary Lagrangian-Eulerian method to keep track of the droplet surface. The contact angle is included by using the Frennet-Serret equations.
We investigate the behaviour of the drop velocity as a function of the slip length and compare with experimental results. Furthermore, we quantify the energy associated with centre-of-mass translation and internal fluid motion, and we also compute the local dissipation of energy inside the drop. The model predicts trajectories for tracer particles deposited inside the drop, and satisfactorily describes the sliding motion of steadily accelerating droplets.
The model can be used for determining a characteristic slip parameter, associated with slip lengths and drag reduction for hydrophobic surfaces.
Language: | English |
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Publisher: | Springer Berlin Heidelberg |
Year: | 2014 |
Pages: | 21 |
Journal subtitle: | Soft Matter and Biological Physics |
ISSN: | 1292895x and 12928941 |
Types: | Journal article |
DOI: | 10.1140/epje/i2014-14065-6 |
ORCIDs: | Sørensen, Mads Peter |
Biophysics and Biological Physics Nanotechnology Physics Physics and Astronomy Polymer Sciences Soft Matter: Interfacial Phenomena and Nanostructured Surfaces Soft and Granular Matter, Complex Fluids and Microfluidics Statistical Physics, Dynamical Systems and Complexity Surfaces and Interfaces, Thin Films