TY - JOUR
T1 - Young, Boruvka-Neumann, Wenzel and Cassie-Baxter equations as the transversality conditions for the variational problem of wetting
AU - Bormashenko, Edward
PY - 2009/8/5
Y1 - 2009/8/5
N2 - The problem of wetting is discussed in the framework of the variational approach. It is shown that the Young, Boruvka-Neumann, Wenzel and Cassie-Baxter equations result from the transversality conditions for a drop placed on the solid substrate and exerted to the external field. Equilibrium (Young) and apparent contact angles are insensitive to external fields under very general assumptions concerning the nature of the field. Generalization of the developed approach to the line tension is discussed.
AB - The problem of wetting is discussed in the framework of the variational approach. It is shown that the Young, Boruvka-Neumann, Wenzel and Cassie-Baxter equations result from the transversality conditions for a drop placed on the solid substrate and exerted to the external field. Equilibrium (Young) and apparent contact angles are insensitive to external fields under very general assumptions concerning the nature of the field. Generalization of the developed approach to the line tension is discussed.
KW - Boruvka-Neumann equation
KW - Cassie equation
KW - Transversality conditions
KW - Variational problem
KW - Wenzel equation
KW - Wetting
KW - Young equation
UR - http://www.scopus.com/inward/record.url?scp=67349131124&partnerID=8YFLogxK
U2 - 10.1016/j.colsurfa.2009.04.054
DO - 10.1016/j.colsurfa.2009.04.054
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AN - SCOPUS:67349131124
SN - 0927-7757
VL - 345
SP - 163
EP - 165
JO - Colloids and Surfaces A: Physicochemical and Engineering Aspects
JF - Colloids and Surfaces A: Physicochemical and Engineering Aspects
IS - 1-3
ER -