STRONG NONLINEAR RUPTURE THEORY OF THIN FREE LIQUID-FILMS

A simplified governing equation with high-order effects is formulated after a procedure of evaluating the order of magnitude, Furthermore, t he nonlinear evolution equations are derived by the Karman-Polhausen i ntegral method with a specified velocity profile. Particularly, the ef fects of surface tension, van der Waals potential, inertia and high-or der viscous dissipation are taken into consideration in these equation . The numerical results reveal that the rupture time of free film is m uch shorter than that of a film on a flat plate. It is shown that beca use 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.