Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9877552 | Physica D: Nonlinear Phenomena | 2005 | 11 Pages |
Abstract
The capillarity driven evolution with slip of a thin liquid film over a dry surface is considered in the regime of “partial wetting”. The focus is on the simplest model case of a constant, non-zero dynamic contact angle in the lubrication approximation. For the analytical treatment of the corresponding free boundary problem, a new strategy is proposed, based on the introduction of an ad hoc class of disjoining pressures which tend to concentrate at triple junctions. A first investigation of this approach yields the existence of weak solutions which satisfy the dissipation relation as an inequality and which are different from those with zero contact angle. A heuristic argument is also presented in order to clarify the connection between contact angle and dissipation relation: it shows that moving droplets which satisfy the dissipation relation as an equality are forced to have the prescribed contact angle.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Michiel Bertsch, Lorenzo Giacomelli, Georgia Karali,