Séminaire de Mécanique d'Orsay
Mardi 29 novembre à 14h au FAST
ANALYSIS OF THE TYPICAL SCENARIOS OF THE EVOLUTION OF PERTURBATIONS ON THE FILM OF VISCOUS LIQUID FLOWING DOWN A VERTICAL PLANE
O. YU. TSVELODUB
Institute of Thermophysics SB RAS and Novosibirsk State University, Russia
 

The evolution of disturbances on the surface of a liquid film flowing down a vertical plane are considered. In the cases of small Reynolds numbers and the long-wave approximation the problem reduces to study solutions of one model equation describing the transformation of the film thickness perturbations. If we confine ourselves by perturbations of small but finite amplitude than as a result the problem comes to the single equation for the deviation of the film thickness from its undisturbed level. Some numerical solutions of this equation are received. They are used in order to the analysis of the typical scenarios of evolution of disturbances at low flow rate is represented.