> C. Ruyer-Quil
Dripping under an inclined plane
Nicolas Kofman (EPFL)
A liquid film flowing under an inclined plane exhibits a transition from convective to absolute instability as shown recently by Brun and coworkers using a lubrication equation. In addition, the latter authors observed experimentally that this transition corresponds roughly to the limit of dripping. We investigate further this idea numerically by using the Ruyer-Quil-Manneville models. When getting closer to horizontality, 2D stationary wave profiles computed by continuation exhibit a transition from Kapitza-like waves to more symmetric drop profiles riding on a thinner substrate. Their 2D/3D secondary modes of instability are anaylzed using a Floquet linear stability analysis and compared with Direct Numerical Simulations in a periodic domain using Gerris.