NUMERICAL MODELLING OF FREE THIN FILM DYNAMICS

L. Popova, G. Gromyko, S. Tabakova
2003 Mathematical Modelling and Analysis  
The dynamics of a free thin film attached to a rectangular frame surrounded by an ambient gas is studied theoretically. The mathematical model is described by evolutionary nonlinear system for the longitudinal velocity components and film thickness. The 1D form of the nonstationary problem is solved by a finite difference scheme. The film shape evolution in time is tracked at different Reynolds numbers, Re. The steady state solutions are reached asymptotically in time for a large range of Re.
doi:10.3846/13926292.2003.9637210 fatcat:c2kjagxjpfcijadiiq53hbqe2y