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Finite-time thin film rupture driven by modified evaporative loss

Publication ,  Journal Article
Ji, H; Witelski, TP
Published in: Physica D: Nonlinear Phenomena
March 1, 2017

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.

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Published In

Physica D: Nonlinear Phenomena

DOI

ISSN

0167-2789

Publication Date

March 1, 2017

Volume

342

Start / End Page

1 / 15

Related Subject Headings

  • Fluids & Plasmas
  • 0102 Applied Mathematics
 

Citation

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Ji, H., & Witelski, T. P. (2017). Finite-time thin film rupture driven by modified evaporative loss. Physica D: Nonlinear Phenomena, 342, 1–15. https://doi.org/10.1016/j.physd.2016.10.002
Ji, H., and T. P. Witelski. “Finite-time thin film rupture driven by modified evaporative loss.” Physica D: Nonlinear Phenomena 342 (March 1, 2017): 1–15. https://doi.org/10.1016/j.physd.2016.10.002.
Ji H, Witelski TP. Finite-time thin film rupture driven by modified evaporative loss. Physica D: Nonlinear Phenomena. 2017 Mar 1;342:1–15.
Ji, H., and T. P. Witelski. “Finite-time thin film rupture driven by modified evaporative loss.” Physica D: Nonlinear Phenomena, vol. 342, Mar. 2017, pp. 1–15. Scopus, doi:10.1016/j.physd.2016.10.002.
Ji H, Witelski TP. Finite-time thin film rupture driven by modified evaporative loss. Physica D: Nonlinear Phenomena. 2017 Mar 1;342:1–15.
Journal cover image

Published In

Physica D: Nonlinear Phenomena

DOI

ISSN

0167-2789

Publication Date

March 1, 2017

Volume

342

Start / End Page

1 / 15

Related Subject Headings

  • Fluids & Plasmas
  • 0102 Applied Mathematics