Question

A centrifugal pump is required to pump water to an open water link situated 4 km away from the location of the pump through a pipe of diameter 0.2 m having Darcy's friction factor of 0.01. The average speed of water in the pipe is 2 m/s. If it maintains a constant head of 5 m in the tank, what is the corresponding pressure in bar abs.

Answer 1

P= 5.5 bar

Step-by-step explanation:

Given that

L= 4000 m

d= 0.2 m

Friction factor(F) = 0.01

speed V= 2 m/s

Head = 5 m

Head loss due to friction

`h_f=(FLV^2)/(2gd)`

`h_f=(0.01* 4000* 2^2)/(2* 9.81* 0.2)`

`h_f=40.77m`

So the total head(H) = 5 + 40.77 + 10.3 =56.07

Where 10.3 m is the atmospheric head.

We know that

P=ρ g H

So total Pressure

P= 1000 x 9.81 x 56.07 Pa

`P=5.5* 10^5\ Pa`

P= 5.5 bar