A water pump operating in steady state has a 7 cm diameter i

A water pump operating in steady state has a 7 cm diameter inlet and exit pipes, the exit lies 4.0 m above the inlet, and the gravity is 9.80 m/s^2. For a power input of 1.60 kW, there is a pressure rise of 0.80 bar from inlet to exit. If the water temperature remains constant at 20 degree C, which is also the ambient temperature. Determine the mass flow rate, in kg/s.

Solution

from the problem

power=Q xdensity xHx 9.8

H=4+pressure drop=4+(50000/9810)=9.102 m

power=Q xdensity xHx 9.8

1.6x10³=mass flow ratexHx9.8 (mass flow rate=Qx density)

1600=mas flow rate x9.102x9.8

mass flow rate=17.93 kg/sec