Stability Analysis of a Falling Film Flow Down a Plane with Sinusoidal Corrugationsстатья
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Дата последнего поиска статьи во внешних источниках: 24 октября 2018 г.
Аннотация:Abstract—The liquid viscous film falling down a vertical wall with sinusoidal relief is considered.
The linear stability of steady-state flow with respect to time-periodic disturbances is studied using
the Floquet theory. It is shown that in the case of applying corrugations the variation in the
disturbance growth rate is proportional to the second power of their undulations. Depending on
the relief parameters there exist two possibilities: the instability domain can expand or certain
disturbances can be stabilized. The growth rates are obtained numerically and analytically in the
approximation of low-amplitude corrugations. The development of waves from small disturbances
is simulated within the framework of nonlinear equations and the formation of structures whose
wavelength is significantly greater than the space relief period is found out.