Finite-time thin film rupture driven by modified evaporative loss

PHYSICA D-NONLINEAR PHENOMENA

卷:342

Article

Ji, Hangjie¹  Witelski, Thomas P.¹ 

[1] Duke Univ, Dept Math, Durham, NC 27706 USA

关键词: Finite-time singularity;    Fourth-order nonlinear partial differential equations;    Interfacial instability;    Thin film equation;    Rupture;   

DOI  :  10.1016/j.physd.2016.10.002

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free