Block Water

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Frequently Asked Questions...

Water flows inside infinitely long rigid pipe of diameter 10cm with speed 10m/s from left to right?

There is a valve

http://upload.wikimedia.org/wikipedia/en/4/4f/USPatent6518683.png

installed in the 'middle' of the pipe.

What will be the force acting on the valve, if we intantly close it, and block water flow?
rigid means rigid


Best Answer...

Answer:

The water itself is slightly compressible so the force wouldn't be infinite. It's more like throwing a non-massless spring at a hard stop. The compression wave due to the stop will propagate upstream at the speed of sound in water. I'm sure calculus would provide a solution but it's getting late where I am.