Fluid polygons and polyhedra from MIT


The quote:

When a vertical water jet strikes a circular horizontal impactor,
the water is deflected into a horizontal sheet. At sufficiently high speeds,
the flow results in a circular water sheet, whose radius is set by
a balance between inertial and curvature forces. At lower speeds, the
sheet sags significantly under the influence of gravity, and may close,
giving rise to a water bell (Figure 1). We have conducted a series of
experiments in order to investigate the influence of increasing
fluid viscosity on fluid sheets and bells.

The circular fluid sheets are marked by an axisymmetry-breaking instability
that results in polygonal structures (Figure 2). Fluid streams from the
sheet, into then along the rim, and finally streams from the corners of
the polygon. In certain parameter regimes, the streams emerging from the
corners take the form of
a linked chain (Figure 3). The minimum number of sides observed on the
polygons was four. By deflecting the sheet from the horizontal, one may
produce sagging structures ressembling fluid umbrellas (Figure 4) or
fluid parasols (Figure 5). Axisymmetry is also broken in the fluid
bells, which assume the form of polyhedra (Figure 6).

This series of photos appears in
& Bush (2001, Phys. Fluids, Gallery of Fluid Motion)

The results of a combined theoretical and experimental investigation of the
polygonal sheets is under review.


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