Abstract
The dynamics of a slender, evaporating, particle-laden droplet under the effect of electric fields are examined. Lubrication theory is used to reduce the governing equations to a coupled system of evolution equations for the interfacial position and the local, depth-averaged particle concentration. The model incorporates the effects of capillarity, viscous stress, Marangoni stress, elecrostatically induced Maxwell stress, van der Waals forces, concentration-dependent rheology, and evaporation. Via a parametric numerical study, the one-dimensional model is shown to recover the expected inhomogeneous ring-like structures in appropriate parameter ranges due to a combination of enhanced evaporation close to the contact line, and resultant capillarity-induced flow. It is then demonstrated that this effect can be significantly suppressed via the use of carefully chosen electric fields. Finally, the three-dimensional behavior of the film and the particle concentration field is briefly examined.
Original language | English |
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Pages (from-to) | 5849-5858 |
Number of pages | 10 |
Journal | Langmuir |
Volume | 30 |
Issue number | 20 |
Early online date | 2 May 2014 |
DOIs | |
Publication status | Published - 27 May 2014 |
Keywords
- electric fields
- evaporation
- Van der Waals forces