| Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 4, 2012
Modelling phenomena on micro- and nanoscale
|
|
|---|---|---|
| Page(s) | 1 - 5 | |
| DOI | https://doi.org/10.1051/mmnp/20127401 | |
| Published online | 09 July 2012 | |
Contact Angles of Sessile Droplets Deposited on Rough and Flat Surfaces in the Presence of External Fields
Ariel University Center of Samaria, Applied Physics Department,
Department of Chemistry and Biotechnology Engineering, POB 3, Ariel, 40700,
Israel
∗ Corresponding author. E-mail: edward@ariel.ac.il
The paper proposes a general framework allowing the analysis of wetting problems in the situation when interfacial tensions depend on external fields. An equation predicting apparent contact angles of sessile droplets deposited on rough surfaces in the presence of external fields is derived. The problem of wetting is discussed in the framework of the variational approach. Derivation of a general equation generalizing the Cassie and Wenzel approaches is presented. The effects related to the line tension which are important for nano-structured surfaces are considered.
Mathematics Subject Classification: 76T10
Key words: electrowetting / dependence of interfacial tensions on external fields Cassie and Wenzel models / line tension / excess free energy variation / transversality conditions
© EDP Sciences, 2012
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