Example-2

A drainage pump has inlet as a vertical pipe with a tapered section, which is filled with water as shown in the following figure. Diameters at ends of the tapered inlet are 1.2m and .06m respectively. The pipe is running full of water. The free water surface is 2.8 m above the center at the inlet and center at upper end is 2m above the top at the free surface. The pressure at the upper end of the pipe is 28cm of Hg and the head loss between two sections is 1/10 of the velocity head at top section. Find the discharge of water in the pipe.