A Study of SplashesWorthington, A. M. (Arthur Mason)
Science
A Study of Splashes
Worthington, A. M. (Arthur Mason)
Splashes
upper end. Thus in Fig. 5 the jet is not yet well established, or at
least not easily discerned; but in Fig. 6 the turbulence has cleared
away from the upper part, and from this stage onwards the jet is well
seen in all the figures, and it persists long after the segmentation of
the air column has taken place. The reader must not suppose that this
jet is a mere _falling_ of the water under the action of gravity, for
the rapidity with which it advances is far greater than could be
accounted for in this way; indeed, as the "times" show, the effect of
gravity during the establishment of the jet is insignificant.
[Illustration: SERIES XVII
Rough sphere falling 140 cm. into water. Scale 2/3.
1 0·006 sec.
2 0·008 sec.
3 0·015 sec.
4 0·021 sec.
5 0·038 sec.]
The segmentation of the air column appears to be independent of the jet;
but some photographs, such as Fig. 7, show the jet striking the side and
breaking into the surrounding liquid with a great accompaniment of
"air-dust."
[Illustration: SERIES XVII--(_continued_)
6 0·043 sec.
7 0·052 sec.]
N.B.--Each of these figures is made up from two photographs; one of the
upper and one of the lower portion taken from different splashes, but
with the same "timing."
The reader will observe that after division of the air-tube has taken
place, say from Fig. 9 onwards, the water entering the jet at the top
and coming out again at the bottom must circulate as in a vortex ring,
part of the core of which is filled with the air surrounding the jet.
It is also to be observed that after the establishment of the jet, there
is a steady increase in the size of the heap above the surface; but it
is not easy in any given photograph to say how much of this protuberance
is air and how much is water. An examination of Figs. 7, 8, and 9 shows
that the place of origin of the jet is gradually lifted above the level
of the free surface.
That the jet we now see should be directed downwards rather than upwards
may, I think, be explained in a general way as follows:--The great
initial momentum of the sphere causes it to continue in rapid motion
after the bubble has closed, thus the sphere acts as a sort of piston,
which by increasing the length of the air-tube diminishes the pressure
in it and so sucks in the bubble, which is driven down by the greater
atmospheric pressure above. The converging horizontal inflow near the
mouth of the air-tube cannot, of course, produce the downward-directed
jet without an equal and opposite generation of momentum upwards; but
this is now expended, not in producing a similar upward jet, but in
balancing the excess of atmospheric pressure. The reaction, in fact, to
the projection of the jet downwards, is the force which holds up and
slowly raises the roof of the long air-shaft.
[Illustration: SERIES XVII--(_continued_)
8 0·057 sec.
9 0·063 sec.
10 0·073 sec.
11 0·089 sec.]
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