Pipeline carrying water has a diameter of 0.5 m and 2 km long. To increase the delivery another pipeline of the same diameter is introduced parallel to the first pipe in the second half of its length. Find the increase in discharge if the total head loss in both the cases is 15 m. Assume 4 f = 0.02 for all the pipes

Diameter of pipe, D=0.5 m

Length of pipe, L = 2 Km=2000m

Coefficient of friction 4f= 0.02

Head loss in both the cases $ish_f$= 15m

Length of another parallel pipe $L_2$=1000 m

Diameter of another pipe line , $D_2$=0.5 m

Increase in discharge:

Case. I. Discharge (Q) for single pipe …