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.
|頁（從 - 到）||448-460|
|期刊||Physica A: Statistical Mechanics and its Applications|
|出版狀態||Published - 1996 十月 1|
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Condensed Matter Physics