=191. Change of Hydraulic Gradient by Changing Diameter of Pipe.=—It
has already been seen, in the case of closed pipes or conduits, that
the hydraulic gradient with slope _s_ governs the velocity of flow, and
also that all parts of the pipe-line must be kept below that gradient.
It is sometimes desirable, in order to meet conditions either of
topography or of flow, to raise or lower the hydraulic gradient over
the whole or some portion of the pipe-line. This can easily be done
to any needed extent by varying the diameter of the pipe. An increase
in diameter will in general decrease the velocity of the water and
increase its pressure, thus increasing correspondingly the height of
the columns of water in the piezometer tubes. As the top surface of the
latter determines the hydraulic gradient, it is seen that increasing
the diameter of a portion of the pipe-line will correspondingly
raise the gradient over the same portion. Thus by a proper relative
variation of diameters the hydraulic gradient of a given pipe-line may
readily be controlled within sufficient limits to meet any ordinary
requirements of this character.
=192. Control of Flow by Gates at Upper End of Pipe-line.=—Obviously,
if the pressure in the pipe-line is diminished, less thickness of metal
will be required to resist it, and a corresponding degree of economy
may be reached by a decrease in the quantity of metal. In the 21 miles
of 48-inch steel-plate pipe of the East Jersey Water Company there is
a fall of 340 feet; if, therefore, the flow through that pipe were
regulated by a gate or gates at its lower end, the lower portion of the
line would be subjected to great intensity of pressure. If, however,
the flow through the pipe is controlled by a gate or gates at its
upper end, enough water only may be admitted to enable it to flow full
with the velocity due to the hydraulic gradient. By such a procedure
the pressure upon the pipe over and above that which is necessary to
produce the gradient is avoided. This condition is not only judicious
in the reduction of the amount of metal required, but also in reducing
both the leakage and the tendency to further leakage, which is largely
increased by high pressures. This feature of control of pressure in a
long pipe-line with considerable fall is always worthy of most careful
consideration.
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