The Principles of Hydrostatics; An Elementary Treatise On the Laws of Fluids, And Their Practical Applications

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The sudden destruction of motion in a fluid mass is attended with effects precisely analogous. When the motion of a fluid mass is suddenly stopped, the surface which stops it must sustain a very great force. The great shock which the gates of a lock experience when the motion of the stream, however slow that motion, is stopped by the gates closing completely, is a familiar illustration of this fact. Now when the discharge of a quantity of water from a pipe is suddenly V • The equation which exp...resses this is, v=ft, or/=-, wheie/is the . accelerating force which generates the velocity « in a time i. Now the same equation holds for a retarding force. Hence it is evident, that when t is very small during which the velocity v is destroyed, the effect must be very great.
158 ON THE MOTION OF FLUIDS, stopped, the action sustained by the opposing surface is coun- terbalanced by a reaction, which is transmitted through the whole mass (Art. 23), and impressed on every portion of the containing vessel.


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