Report on the geology of the Henry MountainsGilbert, Grove Karl
Science
Report on the geology of the Henry Mountains
Gilbert, Grove Karl
Geology -- Utah -- Henry Mountains; Intrusions (Geology) -- Utah -- Henry Mountains
It follows, as a corollary, that the velocity of a fully loaded stream
depends (_ceteris paribus_) on the comminution of the material of the
load. When a stream has its maximum load of fine detritus, its velocity
will be less than when carrying its maximum load of coarse detritus; and
the greater load corresponds to the less velocity.
It follows also that a stream which is supplied with heterogeneous
_débris_ will select the finest. If the finest is sufficient in quantity
the current will be so checked by it that the coarser cannot be moved.
If the finest is not sufficient the next grade will be taken, and so on.
_Transportation and Declivity._
To consider now the relation of declivity to transportation we will
assume all other conditions to be constant. Let us suppose that two
streams have the same length, the same quantity of water, flow over beds
of the same character, and are supplied to their full capacities with
detritus of the same kind; but differ in the total amount of fall. Their
declivities or rates of fall are proportional to their falls. Since the
energy of a stream is measured by the product of its volume and its
fall, the relative energies of the two streams are proportional to their
falls, and hence proportional to their declivities. The velocities of
the two streams, depending, as we have seen above, on the character of
the detritus which loads them, are the same; and hence the same amount
of energy is consumed by each in the friction of flow. And since the
energy which each stream expends in transportation is the residual after
deducting what it spends in friction from its total energy, it is
evident that the stream with the greater declivity will not merely have
the greater energy, but will expend a less percentage of it in friction
and a greater percentage in transportation.
Hence declivity favors transportation in a degree that is greater than
its simple ratio.
There are two elements of which no account is taken in the preceding
discussion, but which need to be mentioned to prevent misapprehension,
although they detract in no way from the conclusions.
The first is the addition which the transported detritus makes to the
energy of the stream. A stream of water charged with detritus is at once
a compound and an unstable fluid. It has been treated merely as an
unstable fluid requiring a constant expenditure of energy to maintain
its constitution; but looking at it as a compound fluid, it is plain
that the energy it develops by its descent is greater than the energy
pertaining to the water alone, in the precise ratio of the mass of the
mixture to the mass of the simple water.
Public-domain text, read in full here on John Shaqi.
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