Abstract
Abstract
Highlights
A vertical liquid curtain can be created by cutting a long slot of constant width in the bottom of a tank; once the tank is filled, a flat liquid sheet will be squeezed through the slot
The first such example was produced by Keller & Weitz (1957) using a set of equations for a slender oblique curtain without shear and viscosity, but affected by gravity and surface tension
The threshold corresponds to the Weber number We being equal to unity (We is the ratio of forces of inertia and surface tension)
Summary
A vertical liquid curtain can be created by cutting a long slot of constant width in the bottom of a tank; once the tank is filled, a flat liquid sheet will be squeezed through the slot. The replacement of the actual ejection angle with −90◦ implies a sharp bend in the curtain near the outlet, and it cannot be caused by the force of gravity If it were, the asymptotic models of both Weinstein et al and B19 would have detected it (as they both include gravity) – there would be no need to introduce the turn through the boundary condition. The present paper has the following structure: in § 2, we formulate the problem and, in § 3, derive an asymptotic equation for curtains with a large Froude number and near-unity Weber number
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