In order to understand more clearly how the circulation under
consideration cannot take place without a difference of level, let W E
(Fig. 3) represent the equatorial column, and C P the polar column. The
equatorial column is warmer than the polar column because it receives
_more_ heat from the sun than the latter; and the polar is colder
than the equatorial column because it receives _less_. The difference
in the density of the two columns results from their difference of
temperature; and the difference of temperature results in turn from the
difference in the quantity of heat received from the sun by each. Or,
to express the matter in other words, the difference of density (and
consequently the circulation under consideration) is due to the excess
of heat received from the sun by the equatorial over that received by
the polar column; so that to leave out of account the super-heating of
the inter-tropical waters by the sun is to leave out of account the
very thing of all others that is absolutely essential to the existence
of the circulation. The water being assumed to be the same in both
columns and differing only as regards temperature, and the equatorial
column possessing more heat than the polar, and being therefore less
dense than the latter, it follows, in order that the two columns may
be in static equilibrium, that the surface of the equatorial column
must stand at a higher level than that of the polar. This produces the
slope W C from the equator to the pole. The extent of the slope will of
course depend upon the extent of the difference of their temperatures.
But, as was shown on a former occasion,[81] it is impossible that
static equilibrium can ever be fully obtained, because the slope
occasioned by the elevation of the equatorial column above the polar
produces what we may be allowed to call a _molecular_ disturbance of
equilibrium. The surface of the ocean, or the molecules of water lying
on the slope, are not in a position of equilibrium, but tend, in virtue
of gravity, to roll down the slope in the direction of the polar column
C. It will be observed that the more we gain of static equilibrium
of the entire ocean the greater is the slope, and consequently the
greater is the disturbance of molecular equilibrium; and, _vice versâ_,
the more molecular equilibrium is restored by the reduction of the
slope, the greater is the disturbance of static equilibrium. _It is
therefore absolutely impossible that both conditions of equilibrium can
be fulfilled at the same time so long as a difference of temperature
exists between the two columns._ And this conclusion holds true even
though we should assume water to be a perfect fluid absolutely devoid
of viscosity. It follows, therefore, that a general oceanic circulation
without a difference of level is a _mechanical impossibility_.
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