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BREAKWATER DESIGN.
121
The Dynamical Value of Wave Action.—The difficulties attending
a determination of the précise effort of a wave are due to several causes. In
the first place, there is the incompressibility of water combined witli the
extreme mobility of its particles. Arrested suddenly in the course of motion,
it produces all the percussive effects of a solid body in an infinite number
of directions. No clearer evidence of this could be produced than the
phenomenon known as water-hammer. If the outlet valve of a hydraulic
service-main be shut down abruptly, a blow is administered to the pipe which
may be, and often is, sufficient to produce rupture, even at a considerable
distance from the outlet, unless, as is generally the case, a relief valve is
provided to prevent such a disastrous effect.
In the second place, the wave-stroke is both abrupt and continuous. Its
first action is a blow, sharp and decisive and of higli momentary intensity.
10-5 0 <0 20 jo 40 so
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Fio. 101. —Section of Ymuiden Breakwater.
This is succeeded by statical pressure during the small but perceptible
interval of time which suffices for the dispersai of the wave. Accordingly,
there are two phases to be considered : (a) the initial concussion, and (i) the
subséquent pressure. Üsually the question is dealt with entirely as a matter
of simple, continuous impact, but it should be noted that wave action is far
from being completely identical with the unbroken impulse of a water-jet.
Now, according to the principles of dynamics, the reaction of a surface
st bjected to continuous impact is measured by the rate at which momentum
is destroyed. If, therefore, w be the weight of a unit volume of water, —
is the mass which impinges on unit surface in unit time, and — is the rate
at which momentum is consumed. Hence, if p be the pressure on unit
surface, we have