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))

Question

koikkara · Answer

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

faiqraees · Answer

@Koikkara I cant see the answer anywhere there

faiqraees · Answer

@ganeshie8 @ParthKohli

parthkohli · Answer

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.

faiqraees · Answer

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

parthkohli · Answer

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,$$P + \frac{1}2 \rho v^2 + \rho g h = \rm constant$$

parthkohli · Answer

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.