According to the researches of M. Plateau, all the phenomena of
the influence of vibrations on jets of liquid are referable to the
conflict between the vibrations and the _forces of figure_ (“_forces
figuratrices_”). If the physical fact is admitted—and it seems to be
indisputable—that a liquid cylinder attains a _limit of stability_ when
the proportion between its length and its diameter is in the ratio
of twenty-two to seven, it is almost a _physical necessity_ that the
jet should assume the constitution indicated by the observations of
Savart. It likewise seems highly probable that a liquid jet, while
in a transition stage to discontinuous drops, should be exceedingly
sensitive to the influence of all kinds of vibrations. It must be
confessed, however, that Plateau’s beautiful and coherent theory does
not appear to embrace Savart’s last experiment, in which the musical
tones were produced by a jet of water issuing under the surface of the
same liquid. It is rather difficult to imagine what agency the “forces
of figure” could have, under such circumstances, in the production of
the phenomenon. This curious experiment tends to corroborate Savart’s
original idea, that the vibrations which produce the sounds must
take place in the glass reservoir itself, and that the cause must be
inherent in the phenomenon of the flow.
To apply the principles of Plateau’s theory to gaseous jets, we are
compelled to abandon the idea of the _non-existence of molecular
cohesion in gases_. But is there not abundant evidence to show that
cohesion _does exist_ among the particles of gaseous masses? Does not
the deviation from rigorous accuracy, both in the law of Mariotte and
Gay-Lussac—especially in the case of condensable gases, as shown by the
admirable experiments of M. Regnault—clearly prove that the hypothesis
of the non-existence of cohesion in aëriform bodies is fallacious? Do
not the expanding rings which ascend when a bubble of phosphuretted
hydrogen takes fire in the air indicate the existence of some cohesive
force in the gaseous product of combustion (aqueous vapor), whose
outlines are marked by the opaque phosphoric acid? In short, does not
the very _form_ of the flame of a “fish-tail” burner demonstrate that
cohesion _must exist_ among the particles of the issuing gas? It is
well known that in this burner the single jet which issues is formed by
the union of _two oblique jets_ immediately before the gas is emitted.
The result is a perpendicular _sheet of flame_. How is such a result
produced by the mutual action of two jets, unless the force of cohesion
is brought into play? Is it not obvious that such a fanlike flame must
be produced by the same causes as those varied and beautiful forms of
aqueous sheets, developed by the mutual action of jets of water, so
strikingly exhibited in the experiments of Savart and of Magnus?
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