Question

Design a ductile iron pumping main carrying a discharge of 0.35 m3/s over a distance of 4 km. The elevation of the pumping station is 140 m and that of the exit point is 150 m. The required terminal head is 10 m. Estimate the pipe diameter and pumping head using the explicit design procedure g

Answer 1

`D=0.41m`

Step-by-step explanation:

From the question we are told that:

Discharge rate
`V_r=0.35 m3/s`

Distance
`d=4km`

Elevation of the pumping station
`h_p= 140 m`

Elevation of the Exit point
`h_e= 150 m`

Generally the Steady Flow Energy Equation SFEE is mathematically given by

`h_p=h_e+h`

With

`P_1-P_2`

And

`V_1=V-2`

Therefore

`h=140-150`

`h=10`

Generally h is give as

`h=(0.5LV^2)/(2gD)`

`h=(8Q^2fL)/(\pi^2 gD^5)`

Therefore

`10=(8Q^2fL)/(\pi^2 gD^5)`

`D=^5(8*(0.35)^2*0.003*4000)/(3.142^2*9.81*10)`

`D=0.41m`