A 5 cm diameter hose is connected to the bottom of an oil tank. A 3 cm nozzle is connected at the end of the hose and is pointed straight up. The velocity of oil in the hose is 15 m/s. The oil level in a tank is 5 m above the ground, The tank cover is air-tight, and the air pressure above the oil surface is 2 atm gage. The oil has a specific weight of 7848 N/m' and the system is at sea level where the atmospheric pressure is 1 atm. An oil pump is installed in the hose between the tank and the nozzle. Oil is to be delivered to a point 20 m height from the ground and at a velocity of 10 m/s. Determine: a) The oil mass flow rate b) The oil volume flow rate c) The oil velocity at the nozzle exit d) The required pumping power in [W] SOLUTION

A 5 cm diameter hose is connected to the bottom of an oil tank. A 3 cm nozzle is connected at the end of the hose and is pointed straight up. The velocity of oil in the hose is 15 m/s. The oil level in a tank is 5 m above the ground, The tank cover is air-tight, and the air pressure above the oil surface is 2 atm gage. The oil has a specific weight of 7848 N/m' and the system is at sea level where the atmospheric pressure is 1 atm. An oil pump is installed in the hose between the tank and the nozzle. Oil is to be delivered to a point 20 m height from the ground and at a velocity of 10 m/s. Determine: a) The oil mass flow rate b) The oil volume flow rate c) The oil velocity at the nozzle exit d) The required pumping power in [W] SOLUTION