Effect of a Thin Floating Fluid Layer in Parametrically Forced Waves

Abstract

In order to describe correctly on-board experiments, where residual acceleration can have a significant impact in the fluid motion, we consider the effect of a thin immiscible fluid layer on top of a liquid substrate in incrementing the damping and promoting drift instabilities in spatially uniform standing Faraday waves. It is seen that the effective surface viscosity of the newtonian liquid film enhances drift instabilities that lead to various steadily travelling and standing and travelling oscillatory patterns, among others. In particular, travelling waves appear to be the primary instability of the basic standing wave for deep water problem