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Keywords

stability
Non-linear equations
Integral approximation

Abstract

In this paper, the stability and dynamics of a thin liquid films flowing down on an inclined plane are investigated by using integral approximation. The strong non-linear evolution equations are derived by the integral approximation with a specified velocity profile. The evolution equations are used to study the linear stability for liquid films. As a result, output of this research, we showed that the effect of inclination of films is an unstable factor.  
https://doi.org/10.33899/csmj.2014.163747
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