✦ LIBER ✦

Strong nonlinear rupture theory of thin free liquid films

✍ Scribed by Chi-Chuan Hwang; Jun-Liang Chen; Li-Fu Shen; Cheng-I Weng

Book ID: 103896349
Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 593 KB
Volume: 231
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(96)00105-7

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✦ Synopsis

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 Kfirrnfi_n-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 fiat 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.

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