Question

water at 20c discharges from a stroke tank through a 150m length of horizontal pipe. The pipe is smooth and has a diameter of 75mm. The entrance of the pipe is square edged. What is depth of water needed to produce a volumetric flow rate of .1m3/s

Answer 1

The dept of the water needed is 26.11m

Step-by-step explanation:

Given the following parameters:

Length of the pipe =
`150m`

Diameter of the pipe =
`75mm = 0.75m`

Volumetric flow rate
`1m^(3)/s`

Knowing that:

Volumetric flowrate
`= area (A) * Velocity(V)`

==>
`0.1 = A*V` *Knowing that
`V = √(2gh)`

==>
`0.1 = (\pi )/(4)* (0.075)^(2) * √(2gh)`

==>
`h = 26.11m`

Hence, the dept of water needed to produce a volumetric flow rate of
`1m^(3)/s` is 26.11m.