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ME231: Fluid Mechanics

TUTORIAL AND PRACTICE PROBLEMS (5)


Weeks of 10th and 26th February 2024
1. There is a steady isothermal flow of water at 20oC through the device in Fig. P3.165. Heat-
transfer, gravity, and temperature effects are negligible. Known data are: D1 = 9cm ,
Q1 = 220 m3 / h , p1 = 150 kPa , D2 = 7 cm , Q2 = 100 m3 / h , p2 = 225 kPa , D3 = 4 cm and
p3 = 265 kPa . Compute the rate of shaft work done for this device and its direction.

2. When the pump in Fig P3.169 draws 220 m3/h of water at 20oC from the reservoir, the total
friction head loss is 5 m. The flow discharges through a nozzle to the atmosphere. Estimate the
pump power in kW delivered to the water.

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3. The pump-turbine system in Fig.3.182 draws water from the upper reservoir in the daytime to
produce power for a city. At night, it pumps water from lower to upper reservoir to restore the
situation. For a design flow rate of 60 m3/min in either direction, the friction head loss is 5 m.
Estimate the power in kW (a) extracted by the turbine and (b) delivered by the pump.

4. The horizontal pump in Fig. P3.178 discharges 20oC water at 57 m3/h. Neglecting losses, what
power in kW is delivered to the water by the pump?

5. The pump in Fig. P3.183 creates a 20oC water jet oriented to travel a maximum horizontal
distance. System friction head loses are 6.5 m. The jet may be approximated by the trajectory of
frictionless particles. What power must be delivered by the pump?

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6. The small turbine in Fig. P6.76 extracts 400 W of power from the water flow. Both pipes are
wrought iron. Compute the flow rate Q in m3/h. Why are there two solutions? Which is better?
Use the table below for surface roughness.

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7. The head-versus-flow-rate characteristics of a centrifugal pump are shown in Fig. P6.80. If
this pump drives water at 20oC through 120 m of 30-cm diameter cast iron pipe, what will be the
resulting flow rate, in m3/s? Use surface roughness data from the table on page 1.

8. Three cast iron pipes are connected to meet smoothly at point B, as shown in Fig. P6.125. The
cast iron pipes are with these dimensions:

The inlet pressures in each pipe are

p1 = 200 kPa p2 = 160 kPa p3 =100 kPa

The fluid is water at 20oC. Neglect minor losses. Estimate the flow rate in each pipe and whether
it is toward or away from point B.

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