Absolutely unstable case
We revisit the canonical Rayleigh-Taylor instability and investigate the case of a thin film of fluid upon the underside of an inclined plane. The presence of a natural flow along the plane competes with the conventional droplet forming instability.In particular, experiments reveal that no drops form for inclinations greater than a critical value. These features are rationalized in the context of an absolute/ convective analysis.
Recently published in Physics of fluids.