Dewetting of a fluid between parallel plane surface with nonconstant forcing
Abstract
We examine the effect of applying a nonconstant force to the radial squeezing and de-wetting of a thin film of viscous Newtonian fluid between parallel plane walls. We explore the problem theoretically for gap spacings much smaller than the typical capillary length for air-liquid systems (< O(1) mm). In our model, we parameterize force using a single variable F which is proportional to a constant force F0 and the height of the gap spacing h to some integer power n Z^+. Since there is no known analytic solution for n>0, we analyze the solution of the dewetting problem numerically. Analysis reveals the formation of a singularity, leading to capillary adhesion, as the gap spacing approaches a critical value that depends on F0, n and a variable C that is analogous to a spring constant.
- Publication:
-
APS Division of Fluid Dynamics Meeting Abstracts
- Pub Date:
- November 2007
- Bibcode:
- 2007APS..DFD.JK006R