..., for large submergence depth and low Froude number, the flow reaches an equilibrium state, and the free-surface signature of the instability has the form of a propagating water wave but the free-surface elevation is small. However, for the same large submergence depth, increasing the Froude number beyond...

... that the Instability IS of the convective type. Consequently spatially growing waves are possible, which are determined numerically, using an Iterative procedure. It is shown that, even though the presence of the fr.ee surface has at low Froude numbers very little influence on the dispersion relation, compared...