The Splash of a DropWorthington, A. M. (Arthur Mason)
Science
The Splash of a Drop
Worthington, A. M. (Arthur Mason)
Splashes
[Tau] = 0 sec.]
[Illustration: 2
[Tau] = 0 sec.]
[Illustration: 3
[Tau] = .0097 sec.]
[Illustration: 4
[Tau] = .0392 sec.]
[Illustration: 5
[Tau] = .0392 sec.]
[Illustration: 6]
[Illustration: 7
[Tau] = .0979 sec.]
[Illustration: 8
[Tau] = .1095 sec.]
[Illustration: 9
[Tau] = .167 sec.]
It will be observed that the drop flattens itself out somewhat, and
descends at the bottom of a hollow with a raised beaded edge (Fig. 2).
This edge would be smooth and circular but for the instability which
causes it to topple into drops. As the drop descends the hollow becomes
wider and deeper, and finally closes over the drop (Fig. 3), which,
however, soon again emerges as the hollow flattens out, appearing first
near, but still below the surface (Fig. 4), in a flattened, lobed form,
afterwards rising as a column somewhat mixed with adherent water, in
which traces of the lobes are at first very visible.
The rising column, which is nearly cylindrical, breaks up into drops
before or during its subsequent descent into the liquid. As it
disappears below the surface the outward and downward flow causes a
hollow to be again formed, up the sides of which an annulus of milk is
carried, while the remainder descends to be torn again a second time
into a vortex ring, which, however, is liable to disturbance from the
falling in of the drops which once formed the upper part of the
rebounding column.
It is not difficult to recognize some features of this splash without
any apparatus beyond a cup of tea and a spoonful of milk. Any drinker of
afternoon tea, after the tea is poured out and before the milk is put
in, may let the milk fall into it drop by drop from one or two inches
above it. The rebounding column will be seen to consist almost entirely
of milk, and to break up into drops in the manner described, while the
vortex ring, whose core is of milk, may be seen to shoot down into the
liquid. But this is better observed by dropping ink into a tumbler of
clear water.
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