A Study of SplashesWorthington, A. M. (Arthur Mason)
Science
A Study of Splashes
Worthington, A. M. (Arthur Mason)
Splashes
If we ask ourselves how it is that the liquid in the interior of one of
these drops does not flow out, pressed as it is by the liquid above it,
the answer is that everywhere the stretched skin presses it back. A
soap-bubble too presses on the air in its interior, both the outside
layers and the inside layers of the thin film being curved over the
interior space. This is the reason that a soap-bubble blown on the bowl
of a pipe will slowly collapse again if we remove the stem of the pipe
from our mouth. The bubble drives the interior air back through the
pipe. And it is easy to show that if two soap-bubbles be blown on the
ends of two tubes which can be connected together by opening a tap
between them, then the smaller will collapse and blow out the larger.
The reason of this is that in the bubble of smaller radius the surface
layers are more sharply curved, and therefore exert a greater pressure
on the air within. Thus if a strap be pulled at each end with a total
tension T and bent over a solid cylinder of small radius, as in Fig. 6,
it is easy to see that the pressure on the surface of the part of the
cylinder touched by the strap is less than if the strap be bent over an
equal area on a cylinder of larger radius (Fig. 7). The tension of the
surface layers of a liquid causes them to act on the liquid within,
exactly as does the stretched strap on the solid in these figures. If at
any place the liquid presents, as it generally does, not a cylindrical
surface, but one with curvature in two directions, then the pressure
corresponds to what would be produced by two straps crossing at right
angles, laid one over the other, each with the curvature of the surface
in its direction (Fig. 8).
[Illustration: FIG. 6]
[Illustration: FIG. 7]
[Illustration: FIG. 8]
[Illustration: FIG. 9]
We can now understand why the drop that has been lying on the
watch-glass should oscillate in its descent. The sharp curvature of the
edge AA of the drop (see Fig. 9) tells us that the liquid there is
pushed back by the pressure of the stretched surface layers, and when
the supporting glass is removed the sides of the drop move inwards,
driving the liquid into the lower part, the tendency being to make the
drop spherical, and so to equalize the pressure of the surface at all
points. But in the process the liquid overshoots the mark, and the drop
becomes elongated vertically and flattened at the sides. This causes the
curvature at top and bottom to be sharper than at the sides, and on this
account the back-pressure of the ends soon checks the elongation and
finally reverses the flow of liquid, and the drop flattens again. As an
example of the way in which a _concavity_ of the surface is pulled out
by the surface-tension may be cited the dimples made by the weight of an
aquatic insect, where its feet rest on the surface without penetrating
it.
Public-domain text, read in full here on John Shaqi.
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