Assignment - Review of Fluids Fundamentals

Q1.  Oil (specific gravity, S.G = 0.82) enters a pump through a 180-mm-diameter pipe at a pressure of 35 kN/m², and leaves the pump through a 120-mm-diameter pipe at a pressure of 120 kN/m². The suction and discharge sides of the pump are at the same elevation.  Find the power delivered to the oil by the pump if the flow rate is 70 L/s. Assume γ_water = 9.81kN/m³.

Hints:

• Power (out of pump or into turbine) = γ h_p Q
• Answer is between 5.00 and 9.00 kW.

Q2. A pump lifts 60^oF water from a stream to a reservoir whose surface is an unknown distance above the free surface of the stream.  The suction pipe (from the stream to the pump) is 250 ft of 8-in Schedule 40 steel pipe, while the discharge pipe (from the pump to the reservoir) is 2250 ft of 8-in Schedule 40 PVC (plastic) pipe.  The pump consumes 150 hp and has an estimated efficiency of 85%.  The suction inlet of the pump is located 2.5 ft below the surface of the stream, while the discharge port of the pump is located at the same elevation as the surface of the stream.  A differential manometer connected to the suction and discharge sides of the pump measures a pressure difference of 128 psi. Consider the friction loss in the piping (using the Darcy-Weisbach equation), but neglect other (minor) losses.  

a. What head does the pump deliver to the system?

b. What is the flow rate in the system?

c. What is the head loss in the suction pipe?

d. What is the head loss in the discharge pipe?

e. What is the elevation of the reservoir?

Hints:

• Pump (or turbine) efficiency = Power Out/Power in
• Schedule 40 steel and PVC pipe have the same dimension.

Q3. What is the elevation of the discharge reservoir in problem 2 if the head loss in the discharge pipe is calculated using the Hazen-Williams nomograph? Use design values for the plastic pipe.

Attachment:- Assignment.rar