Strong nonlinear rupture theory of thin free liquid films

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

Physica A: Statistical Mechanics and its Applications, 1996, vol. 231, issue 4, 448-460

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.

Keywords: Strong nonlinear rupture; Thin free films; Van der Waals potential; Surface tension; Integral method (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:231:y:1996:i:4:p:448-460

DOI: 10.1016/0378-4371(96)00105-7

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