In conditions of partial wetting and at sufficiently high capillary number Ca, a dynamic contact line that recedes on a solid surface assumes a 'saw-tooth' shape. We show that the flow inside this liquid 'corner' is a similarity solution of the lubrication equations governing steady thin-film flows in which the free surface is cone shaped. The interface slope Ω defined in its symmetry plane is linked to the corner angle 2φ by the approximate relationship Ω 3 ≈ (3/2)Ca tan 2 φ. We also suggest a possible explanation of droplet emission from the corner which occurs when φ reaches π/6.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
- Contact lines
- Film flows
- Lubrication theory