Numerical modelling of free thin film dynamics

    L. Popova Affiliation
    ; G. Gromyko Affiliation
    ; S. Tabakova Affiliation


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.

Laisvosios plonosios plėvelės dinamikos skaitinis modeliavimas


Nagrinėjamas svarbus dujų dinamikai plonosios plėvelės judėjimo matematinio modeliavimo uždavinys. Atlikta diferencialinių lygčių asimptotinė analizė. Pasiūlyta skirtuminė schema skaičiavimams atlikti ir pateikti skaitinių eksperimentų rezultatai.

First Published Online: 14 Oct 2010

Keyword : finite‐difference method, modelling, nonlinear system, free thin film

How to Cite
Popova, L., Gromyko, G., & Tabakova, S. (2003). Numerical modelling of free thin film dynamics. Mathematical Modelling and Analysis, 8(1), 51-62.
Published in Issue
Mar 31, 2003
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