Let us now make some enquiry regarding the various forms {215} which,
under the influence of surface tension, a surface can possibly assume.
In doing so, we are obviously limited to conditions under which other
forces are relatively unimportant, that is to say where the “surface
energy” is a considerable fraction of the whole energy of the system;
and this in general will be the case when we are dealing with portions
of liquid so small that their dimensions come within what we have
called the molecular range, or, more generally, in which the “specific
surface” is large[282]: in other words it will be small or minute
organisms, or the small cellular elements of larger organisms, whose
forms will be governed by surface-tension; while the general forms of
the larger organisms will be due to other and non-molecular forces.
For instance, a large surface of water sets itself level because here
gravity is predominant; but the surface of water in a narrow tube
is manifestly curved, for the reason that we are here dealing with
particles which are mutually within the range of each other’s molecular
forces. The same is the case with the cell-surfaces and cell-partitions
which we are presently to study, and the effect of gravity will
be especially counteracted and concealed when, as in the case of
protoplasm in a watery fluid, the object is immersed in a liquid of
nearly its own specific gravity.
We have already learned, as a fundamental law of surface-tension
phenomena, that a liquid film _in equilibrium_ assumes a form which
gives it a minimal area under the conditions to which it is subject.
And these conditions include (1) the form of the boundary, if such
exist, and (2) the pressure, if any, to which the film is subject;
which pressure is closely related to the volume, of air or of liquid,
which the film (if it be a closed one) may have to contain. In the
simplest of cases, when we take up a soap-film on a plane wire ring,
the film is exposed to equal atmospheric pressure on both sides, and it
obviously has its minimal area in the form of a plane. So long as our
wire ring lies in one plane (however irregular in outline), the film
stretched across it will still be in a plane; but if we bend the ring
so that it lies no longer in a plane, then our film will become curved
into a surface which may be extremely complicated, but is still the
smallest possible {216} surface which can be drawn continuously across
the uneven boundary.
Public-domain text, read in full here on John Shaqi.
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