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Mean-field Density Functional Theory of a Three-Phase Contact Line by Lin, Chang-You; Widom, Michael; Sekerka, Robert F. is a scholarly article available to read on EtoBox.

What is Mean-field Density Functional Theory of a Three-Phase Contact Line about?

A three-phase contact line in a three-phase fluid system is modeled by a mean-field density functional theory. We use a variational approach to find the Euler-Lagrange equations. Analytic solutions are obtained in the two-phase regions at large distances from the contact line. We employ a triangular grid and use a successive over-relaxation method to find numerical solutions in the entire domain for the special case of equal interfacial tensions for the two-phase interfaces. We use the Kerins-Boiteux formula to obtain a line tension associated with the contact line. This line tension turns out to be negative. We associate line adsorption with the change of line tension as the governing potentials change.

Author

Lin, Chang-You; Widom, Michael; Sekerka, Robert F.

Published

2011

Language

EN