Strong nonlinear rupture theory of thin free liquid films

Chi Chuan Hwang, Jun Liang Chen, Li Fu Shen, Cheng I. Weng

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

A simplified governing equation with high-order effects is formulated after a procedure of evaluating the order of magnitude. Furthermore, the nonlinear evolution equations are derived by the Kármán-Polhausen integral method with a specified velocity profile. Particularly, the effects of surface tension, van der Waals potential, inertia and high-order viscous dissipation are taken into consideration in these equation. The numerical results reveal that the rupture time of free film is much shorter than that of a film on a flat plate. It is shown that because of a more complete high-order viscous dissipation effect discussed in the present study, the rupture process of present model is slower than is predicted by the high-order long wave theory.

Original languageEnglish
Pages (from-to)448-460
Number of pages13
JournalPhysica A: Statistical Mechanics and its Applications
Volume231
Issue number4
DOIs
Publication statusPublished - 1996 Oct 1

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

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