Finite-time thin film rupture driven by modified evaporative loss
Journal Article (Journal Article)
Rupture is a nonlinear instability resulting in a finite-time singularity as a film layer approaches zero thickness at a point. We study the dynamics of rupture in a generalized mathematical model of thin films of viscous fluids with modified evaporative effects. The governing lubrication model is a fourth-order nonlinear parabolic partial differential equation with a non-conservative loss term. Several different types of finite-time singularities are observed due to balances between conservative and non-conservative terms. Non-self-similar behavior and two classes of self-similar rupture solutions are analyzed and validated against high resolution PDE simulations.
Full Text
Duke Authors
Cited Authors
- Ji, H; Witelski, TP
Published Date
- March 1, 2017
Published In
Volume / Issue
- 342 /
Start / End Page
- 1 - 15
International Standard Serial Number (ISSN)
- 0167-2789
Digital Object Identifier (DOI)
- 10.1016/j.physd.2016.10.002
Citation Source
- Scopus