Nonlinear air-blown waves on falling viscous liquid films

Thin viscous liquid films flowing down an inclined wall under gravity in the presence of an upward-flowing high-speed air stream are considered. Benney equations in the capillary (strong surface tension) and inertio-capillary regimes are derived and studied. Numerical results reveal two primary bifurcation branches of steady solutions, alongside secondary and isolated branches. Time-dependent computations further categorise the solution space and explore the Reynolds number's impact on wave characteristics.

Venue: Fulton G20