Influence of longitudinal vibrations of the pulsation fields of long-wave Marangoni convection in thin film

A thin film on a solid surface heated from below is considered. The surface performs longitudinal harmonic vibrations with a given frequency and amplitude. The equations system presented as the sum of average and pulsation fields, the problem was solved with the help of multiscale method. The amplitude values of the pulsation fields of the system are obtained and given.