Abstract
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.
Original language | English |
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Pages (from-to) | 1-5 |
Number of pages | 5 |
Journal | Mathematical Modelling of Natural Phenomena |
Volume | 7 |
Issue number | 4 |
DOIs | |
State | Published - 2012 |
Keywords
- Dependence of interfacial tensions on external fields Cassie and Wenzel models
- Electrowetting
- Excess free energy variation
- Line tension
- Transversality conditions
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Applied Mathematics