Example-3

Water flows downwards through a vertical tapered pipe at a rate 2lits/min. The diameter of the pipe at the upper end is 55m, which gradually reduces to 28mm at the lower end through a length of 2m. The pressure difference between the ends is 38kPa. Assuming that the head loss varies as the square of the velocity, determine the quantity of water passing through the pipe when there is no pressure difference.

Solution:

The flow of water through the pipe is shown in the following figure.