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Mathematics 7 Online
OpenStudy (faiqraees):

So why wont kinetic energy increases in a pipe which is sealed and filled with water? (Providing that the pipe is descending down a hill (height is dcreasing))

OpenStudy (koikkara):

https://en.wikipedia.org/wiki/Water_hammer

OpenStudy (faiqraees):

@Koikkara I cant see the answer anywhere there

OpenStudy (faiqraees):

@ganeshie8 @ParthKohli

Parth (parthkohli):

Because of the equation of continuity. That is, if the pipe is uniform, your velocity cannot change anywhere. Only the pressure will have to change.

OpenStudy (faiqraees):

So it isn't related to Bernoulli's principle?

Parth (parthkohli):

It is. Bernoulli's principle and the equation of continuity are complementary in a way. One says,\[\text{Rate of flow = }Av = \text{constant}\]And the other says,\[P + \frac{1}2 \rho v^2 + \rho g h = \rm constant\]

Parth (parthkohli):

From the first equation, we draw the conclusion that the velocity will not change. From the second equation, we draw the conclusion that the decrease in height can only be compensated by increase in pressure.

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