Fluid Mechanics in Si Units by R. C. Hibbeler | 9789332587007 | 9332587000

Fluid Mechanics

Fluid Mechanics in Si Units

4 SOLVED PROBLEMS

165 SOLVED PROBLEMS

Question: 13.20

Air flows over a surface at a speed of 900 m/s, where the absolute pressure is 100 kPa and the temperature is 30°C. Expansion waves occur at the sharp transition shown in Fig. 13–47a. Determine the velocity, temperature, and pressure of the flow just to the right of the wave. ...

Verified Answer:

Fluid Description. We have steady compressible flo...

Question: 13.17

A jet plane is traveling at M = 1.5, where the absolute air pressure is 50 kPa and the temperature is 8°C. At this speed, a shock forms at the intake of the engine, as shown in Fig. 13–38a. Determine the pressure and velocity of the air just to the right of the shock. ...

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Fluid Description. The control volume that contain...

Question: 13.11

Air flows through the 100-mm-diameter pipe in Fig. 13–23 having an absolute pressure of p1 = 90 kPa. Determine the diameter d at the end of the nozzle so that isentropic flow occurs out of the nozzle at M2 = 0.7. The air within the pipe is taken from a large reservoir at standard atmospheric ...

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Fluid Description. We assume steady isentropic flo...

Question: 13.4

Air at a temperature of 100°C is under pressure in the large tank shown in Fig. 13–9. If the nozzle is open, the air flows out at M = 0.6. Determine the temperature of the air at the exit. ...

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Fluid Description. The Mach number, M = 0.6 < 1...

Question: 6.8

Water flows out of the fire hydrant in Fig. 6–10a at 120 liters/s. Determine the reactions at the fixed support necessary to hold the fire hydrant in place. ...

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Fluid Description. This is a case of steady flow. ...

Question: 14.11

The Francis turbine in Fig. 14–23 is rotating at 75 rev/min under a hydraulic head of 10 m and develops 85 kW with a discharge of 0.10 m³/s. If the guide vanes remain in their fixed position, what is the rotation of this turbine when the hydraulic head is 3 m? Also, what is the corresponding ...

Verified Answer:

Here

\omega_1

= 75 rev/ min , [late...

Question: 14.10

A turbine for the dam operates under a hydraulic head of 90 m, producing a discharge of 50 m³/s. If the reservoir level drops so that the hydraulic head becomes 60 m, determine the discharge from the turbine. ...

Verified Answer:

Here

h_1

= 90 m and

Q_1[/lat...

Question: 14.9

The radial-flow pump in Fig. 14–19a is used to transfer water from the lake at A into a large storage tank, B. This is done through a 100-mm-diameter pipe that is 100 m long and has a friction factor of 0.015. The manufacturer’s data for the performance of the pump is given in Fig. 14–19b. ...

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Fluid Description. We assume steady, incompressibl...

Question: 14.8

The pump shown in Fig. 14–17 is used to transfer 20°C sewage water from the wet well to the sewage treatment plant. If the flow through the 75-mm-diameter pipe is to be 1/60 m³/s, determine if cavitation occurs when the pump in Fig. 14–16 is selected. The pump turns off just after the water reaches ...

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Fluid Description. We will assume steady flow of a...

Question: 14.7

The guide vanes of a Francis turbine in Fig. 14–14a direct water onto the 200-mm-wide runner blades at an angle of α1 = 30°. The blades are rotating at 25 rev/min, and they discharge water at 4 m³/s in the radial direction, that is, toward the center of the turbine, α2 = 90°, Fig. 14–14b. Determine ...

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Fluid Description. We have steady flow onto the bl...

Question: 14.6

The Pelton wheel in Fig. 14–11 has a diameter of 3 m and bucket deflection angles of 160°. If the diameter of the water jet striking the wheel is 150 mm, and the velocity of the jet is 8 m/s, determine the power developed by the wheel when it is rotating at 3 rad/s. ...

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Fluid Description. We have steady flow onto the bl...

Question: 14.5

The impeller of a radial-flow water pump has an outer radius of 200 mm, average width of 50 mm, and a tail angle β2 = 20°, Fig. 14–9. If the flow onto the blades is in the radial direction, and the blades are rotating at 100 rad/s, determine the ideal power. The discharge is 0.12 m³/s. ...

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I Fluid Description. We assume steady, incompressi...

Question: 14.4

The impeller on the radial-flow pump in Fig. 14–8a has an average inlet radius of 50 mm and outlet radius of 150 mm, and an average width of 30 mm. If the blade angles are β1 = 20° and β2 = 10°, determine the flow through the pump, and the ideal pump head when the impeller is rotating at 400 ...

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Fluid Description. We will assume steady, incompre...

Question: 14.3

Determine the hydraulic efficiency for the axial-flow pump in Example 14.2 if frictional head losses produced by the pump are 0.8 m. ...

Verified Answer:

Fluid Description. We assume steady, incompressibl...