A Note on the Limiting Corner Angle of Liquid Drops in the Lubrication Approximation
The derivation of thin-film equations for liquid drops on an inclined plane is analyzed. It was found that the limiting corner angle of the contact line for such a drop should be close to 25 degrees, in accordance with observations. This is achieved by the method of Fuchsian reduction, which yields a more complete solution of the equation for the profile of drops than other methods.
Authors
- Satyanad Kichenassamy
Institutions
- Centre National de la Recherche Scientifique (FR)
- École Pratique des Hautes Études (FR)
- Sorbonne Université (FR)
- École des hautes études en sciences sociales (FR)
- Université de Reims Champagne-Ardenne (FR)
Publication Details
- Journal
- Axioms
- Published
- 2026-02-04
- DOI
- https://doi.org/10.3390/axioms15020117
- Primary Topic
- Fluid Dynamics and Thin Films
- Type
- article
- Field-Weighted Citation Impact
- 0.00