A Study of SplashesWorthington, A. M. (Arthur Mason)
Science
A Study of Splashes
Worthington, A. M. (Arthur Mason)
Splashes
What we have said of a straight liquid cylinder applies also to an
annulus of liquid made by bending such a cylinder into a ring. This also
will spontaneously segment or topple into drops according to the same
law.[E] Now the edge of the crater is practically such a ring, and it
topples into a more or less regular set of protuberances, the liquid
being driven from the parts between into the protuberances.
Now while the crater is rising the liquid is flowing up from below
towards the rim, and the spontaneous segmentation of the rim means that
channels of easier flow are created, whereby the liquid is driven into
the protuberances, which thus become a series of jets. These are the
jets or arms which we see at the edge of the crater. Examination with a
lens of some of the craters will show that the lines of easier flow
leading to a jet are often marked by streaks of lamp-black in Series I,
or by streaks of milk in Series II. This explanation of the formation of
the jets applies also to a similar phenomenon on a much larger scale,
with which the reader will be already familiar. If he has ever watched
on a still day, on a straight, slightly shelving sandy shore, the waves
that have just impetus enough to curl over and break, he will have
noticed that up to a certain moment the wave presents a long, smooth,
horizontal cylindrical edge (see Fig. 15-a) from which, at a given
instant, are shot out an immense array of little jets which speedily
break into foam, and at the same moment the back of the wave, hitherto
smooth, is seen to be furrowed or combed (see Fig. 15-b). The jets are
due to the segmentation of the cylindrical rim according to Plateau's
law, and the ridges between the furrows mark the lines of easier flow
determined by the position of the jets.
[Illustration: FIG. 15-b
FIG. 15-a
Diagrams of a breaking wave.]
The tendency of the central column of Series I to separate into two
parts is only another illustration of the same instability of a liquid
cylinder. The column, however, is much thicker than the jets, and its
surface is therefore less sharply curved, and consequently the inward
pressure of the stretched curved surface is relatively slight and the
segmentation proceeds only slowly. Since this segmentation must
originate in some accidental tremor, we see how it is that the summit
of the column may succeed in separating off on some occasions and not on
others. As a matter of fact, the height of fall for this particular
splash was purposely selected, so that the column thrown up should
_just_ not succeed in dividing in order that the formation of the
subsequent ripples might not be disturbed by the falling in of the drops
split off. But, as the reader will have perceived, the margin allowed
was not quite sufficient.
Public-domain text, read in full here on John Shaqi.
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