A Study of SplashesWorthington, A. M. (Arthur Mason)
Science
A Study of Splashes
Worthington, A. M. (Arthur Mason)
Splashes
The two principles that I have now explained, viz. the principle of the
skin-tension, and the principle of the instability and spontaneous
segmentation of a liquid cylinder, jet, or annulus, will go far to
explain much that we shall see in any splash, but it is well that the
reader should realize how much has been left unexplained. Why, for
example, should the crater rise so suddenly and vertically immediately
round the drop as it enters? Why should the drop spread itself out as a
lining over the inside of the crater, turning itself inside out, as it
were, and making an inverted umbrella of itself? Why when the crater
subsides should it flow inwards rather than outwards, so as to throw up
such a remarkable central column?
These questions, which demand that we should trace the motion of every
particle of the water back to the original impulse given by the impact
of the drop, are much more difficult to answer, and can only be
satisfactorily dealt with by a complicated mathematical analysis.
Something, however, in the way of a general explanation will be given in
a later chapter.
FOOTNOTES:
[D] _Statique Expérimentale et Théorique des Liquides._
[E] See Worthington on the "Segmentation of a Liquid Annulus," _Proc.
Roy. Soc._, No. 200, 1879.
CHAPTER IV
THE SPLASH CONTINUED
I have stated that the addition of the milk to the water made but little
difference in the character of the resulting splash. It does, however,
make certain differences in detail, as will be gathered from an
examination of the next Series I-a, which shows the effect of letting
the water-drop fall from the same height into water instead of into
milk. Such a splash is difficult to photograph unless the illumination
is from behind. As shown in this way, the early figures of the crater
might be unintelligible to the reader had he not already studied the
same crater lighted up from the side. Sometimes, though the front of the
crater is hardly visible directly, yet every lobe on it can be clearly
traced in the inverted image seen by reflection.
The most noticeable difference between the two splashes is perhaps the
very much greater number of ripples seen with the splash in pure water.
This is partly because, with the illumination behind, such ripples are
more easily visible, but arises chiefly from the fact that ripples are
not so readily propagated over the surface of milk on account both of
its smaller surface-tension and its greater viscosity. The first
appearance of outward-spreading ripples is in No. 6, just round the
subsiding crater.
[Illustration: SERIES I-a
Water into water (40 cm. fall). Scale 9/10.
1 T = 0
2 0·004 sec.
3 0·013 sec.
4 0·018 sec.]
[Illustration: SERIES I-a--(_continued_)
5 0·026 sec.
6 0·042 sec.
7 0·058 sec.
8 0·073 sec.]
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