A fire hydrant of constant cross-sectional area delivers water at a rate Q in m3
ID: 1856140 • Letter: A
Question
A fire hydrant of constant cross-sectional area delivers water at a rate Q in m3 /s . The water travels vertical in a pipe and then turns horizontal with a 90 degree turn as shown in Figure. If ? is the density of water: (a) Draw the control volume around the bend and write the momentum balance. Do not ignore gravity. Let M be the mass of fluid in your control volume. (b) What is force exerted by the water (both magnitude and direction) on the pipe bend on the control volume. Assume incompressible and inviscid flow.
Explanation / Answer
b) force exerted= d x Q.(v +v ) = 2d.Q.v
here d = density of water
a) control volume
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