Equation of motion of the triple contact line along an inhomogeneous surface

Abstract

Wetting flows are controlled by the contact line motion. We derive an equation that describes the slow time evolution of the triple solid-liquid-fluid contact line for an arbitrary distribution of defects on a solid surface. The capillary rise along a partially wetted infinite vertical wall is considered. The contact line is assumed to be only slightly deformed by the defects. The derived equation is solved exactly for a simple example of a single defect. Introduction.

arXiv commentin EPL, European Physical Society, 2003

References in corpus (4)

• Coalescence of sessile drops
• Relaxation of nonspherical sessile drops towards equilibrium
• Wandering of a contact line at thermal equilibrium
• Some recent (and surprising) results on interface and contact line depinning in random media

Cited by in corpus (8)

• Relaxation of a dewetting contact line Part 1: A full-scale hydrodynamic calculation
• A microscopic view on contact angle selection
• Relaxation of a dewetting contact line Part 2: Experiments
• Elasticity of a contact-line and avalanche-size distribution at depinning
• Phase field modeling of wetting on structured surfaces
• Dynamics and depinning of the triple contact line in the presence of periodic surface defects
• Modelling of the moving deformed triple contact line: influence of the fluid inertia
• Long-range interactions in the avalanches of elastic interfaces