On the Connexion of the Physical SciencesSomerville, Mary
Science
On the Connexion of the Physical Sciences
Somerville, Mary
Physical sciences; Science
The estimation of the action of the liquid is a difficult part of this
problem. La Place, Dr. Young, and other mathematicians, have considered
the liquid within the tube to be of uniform density; but M. Poisson, in
one of those masterly productions in which he elucidates the most
abstruse subjects, has proved that the phenomena of capillary attraction
depend upon a rapid decrease in the density of the liquid column
throughout an extremely small space at its surface. Every indefinitely
thin layer of a liquid is compressed by the liquid above it, and
supported by that below. Its degree of condensation depends upon the
magnitude of the compressive force; and, as this force decreases rapidly
towards the surface, where it vanishes the density of the liquid
decreases also. M. Poisson has shown that, when this force is omitted,
the capillary surface becomes plane, and that the liquid in the tube
will neither rise above nor sink below the level of that in the cup. In
estimating the forces, it is also necessary to include the variation in
the density of the capillary surface round the edges from the attraction
of the tube.
The direction of the resulting force determines the curvature of the
surface of the capillary column. In order that a liquid may be in
equilibrio, the force resulting from all the forces acting upon it must
be perpendicular to the surface. Now it appears that, as glass is more
dense than water or alcohol, the resulting force will be inclined
towards the interior side of the tube; therefore the surface of the
liquid must be more elevated at the sides of the tube than in the centre
in order to be perpendicular to it, so that it will be concave as in the
thermometer. But, as glass is less dense than mercury, the resulting
force will be inclined from the interior side of the tube (N. 174), so
that the surface of the capillary column must be more depressed at the
sides of the tube than in the centre, in order to be perpendicular to
the resulting force, and is consequently convex, as may be perceived in
the mercury of the barometer when rising. The absorption of moisture by
sponges, sugar, salt, &c., are familiar examples of capillary
attraction. Indeed the pores of sugar are so minute, that there seems to
be no limit to the ascent of the liquid. Wine is drawn up in a curve on
the interior surface of a glass; tea rises above its level on the side
of a cup; but, if the glass or cup be too full, the edges attract the
liquid downwards, and give it a rounded form. A column of liquid will
rise above or sink below its level between two plane parallel surfaces
when near to one another, according to the relative densities of the
plates and the liquid (N. 175); and the phenomena will be exactly the
same as in a cylindrical tube whose diameter is double the distance of
the plates from each other. If the two surfaces be very near to one
another, and touch each other at one of their upright edges, the liquid
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account