Life of a flapping liquid sheet

A round liquid jet with density p, surface tension a and diameter Do impacting a solid circular surface at normal incidence with velocity U-0 takes the form of a radially expanding sheet whose thickness decreases with distance from the impact point. When the sheet develops in a still environment with density rho(a) = alpharho, it destabilizes, provided the impacting Weber number We = rhoU(0)(2)D(0)/sigma is larger than about 40alpha(-1/2), as a result of a shear instability with the surrounding medium, in a sinuous, flag-like motion. We show how the instability properties set both the radial extent of the liquid sheet and the drop formation process at its rim. The shear instability gives the liquid a flag-like motion, ultimately triggering a Rayleigh-Taylor instability at the rim of the sheet which disintegrates, at the radial location R, into disjointed droplets of size d such that R/D-0 similar to alpha(-2/3)We(-1/3) and d/D-0 similar to alpha(-2/3)We(-1). The features of the sheet instability, its radius and the droplet sizes are determined experimentally for a broad range of control parameters, using different liquids and ambient-medium densities.