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