FLUID MECHANICS FUNDAMENTALS+APPS
4th Edition
ISBN: 9781259877766
Author: CENGEL
Publisher: MCG
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Chapter 14, Problem 80P
To determine
The maximum shaft power which is produced by a Pelton wheel.
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2. A wind turbine has the maximum power output at the rated speed of 12 m/s and a rotor
diameter of 82 meters. The cut-in and cut-out speeds for this type of wind turbine are 4 m/s
and 23 m/s, respectively. The table below shows the annual wind data near a potential site for
setting up a wind farm using this type of wind turbine and the power coefficient of the wind
turbine at the specific wind speed. The air density is 1.22 kg/m³.
Wind speed (m/s)
Power coefficient 7
Hours
1190
5
0.25
3000
10
0.5
2400
15
0.25
1700
20
0.1
400
25
50
30
20
(a). What is the maximum power output of this wind turbine, assuming Betz limit?
(b). What is the average power output if the wind turbine is installed at this site?.
(c). What is the capacity factor of the wind turbine at this site?
(d). If a wind farm consisting of 100 such wind turbines is built at the site, how much energy
does this wind farm generate in a year (in the unit of kWh)?
(e). Is this a good site for using this particular type of wind…
Kindly answer with complete solution please. Thank you
3. A 90% efficient Francis turbine running at 100 rpm discharges 6m * 3/s of water. The inner runner radius is 1.8 m and the outer periphery of the wheel has a radius of 2.5 m. The blade height is 50 cm. The blade angle beta_{1} is 80 degrees and beta_{2} is 160 degrees Find the vane angle, torque, and the power from the turbine
Chapter 14 Solutions
FLUID MECHANICS FUNDAMENTALS+APPS
Ch. 14 - What is the more common term for an...Ch. 14 - What the primary differences between fans,...Ch. 14 - List at least two common examples of fans, of...Ch. 14 - Discuss the primary difference between a porn...Ch. 14 - Explain why there is an “extra” term in the...Ch. 14 - For a turbine, discuss the difference between...Ch. 14 - Prob. 7CPCh. 14 - Prob. 8PCh. 14 - Prob. 9PCh. 14 - Prob. 10CP
Ch. 14 - There are three main categories of dynamic pumps....Ch. 14 - For each statement about cow cetrifugal the...Ch. 14 - Prob. 13CPCh. 14 - Consider flow through a water pump. For each...Ch. 14 - Write the equation that defines actual (available)...Ch. 14 - Consider a typical centrifugal liquid pump. For...Ch. 14 - Prob. 17CPCh. 14 - Consider steady, incompressible flow through two...Ch. 14 - Prob. 19CPCh. 14 - Prob. 20PCh. 14 - Suppose the pump of Fig. P1 4-19C is situated...Ch. 14 - Prob. 22PCh. 14 - Prob. 23EPCh. 14 - Consider the flow system sketched in Fig. PI 4-24....Ch. 14 - Prob. 25PCh. 14 - Repeat Prob. 14-25, but with a rough pipe-pipe...Ch. 14 - Consider the piping system of Fig. P14—24. with...Ch. 14 - The performance data for a centrifugal water pump...Ch. 14 - For the centrifugal water pump of Prob. 14-29,...Ch. 14 - Suppose the pump of Probs. 14-29 and 14-30 is used...Ch. 14 - Suppose you are looking into purchasing a water...Ch. 14 - The performance data of a water pump follow the...Ch. 14 - For the application at hand, the flow rate of...Ch. 14 - A water pump is used to pump water from one large...Ch. 14 - For the pump and piping system of Prob. 14-35E,...Ch. 14 - A water pump is used to pump water from one large...Ch. 14 - Suppose that the free surface of the inlet...Ch. 14 - Calculate the volume flow rate between the...Ch. 14 - Comparing the results of Probs. 14-39 and 14-43,...Ch. 14 - Prob. 45PCh. 14 - The performance data for a centrifugal water pump...Ch. 14 - Transform each column of the pump performance data...Ch. 14 - 14-51 A local ventilation system (a hood and duct...Ch. 14 - Prob. 52PCh. 14 - Repeat Prob. 14-51, ignoring all minor losses. How...Ch. 14 - Suppose the one- way of Fig. P14-51 malfunctions...Ch. 14 - A local ventilation system (a hood and duct...Ch. 14 - For the duct system and fan of Prob. 14-55E,...Ch. 14 - Repeat Prob. 14-55E, ignoring all minor losses....Ch. 14 - A self-priming centrifugal pump is used to pump...Ch. 14 - Repeat Prob. 14-60. but at a water temperature of...Ch. 14 - Repeat Prob. 14-60, but with the pipe diameter...Ch. 14 - Prob. 63EPCh. 14 - Prob. 64EPCh. 14 - Prob. 66PCh. 14 - Prob. 67PCh. 14 - Prob. 68PCh. 14 - Prob. 69PCh. 14 - Two water pumps are arranged in Series. The...Ch. 14 - The same two water pumps of Prob. 14-70 are...Ch. 14 - Prob. 72CPCh. 14 - Name and briefly describe the differences between...Ch. 14 - Discuss the meaning of reverse swirl in reaction...Ch. 14 - Prob. 75CPCh. 14 - Prob. 76CPCh. 14 - Prob. 77PCh. 14 - Prob. 78PCh. 14 - Prob. 79PCh. 14 - Prob. 80PCh. 14 - Wind ( =1.204kg/m3 ) blows through a HAWT wind...Ch. 14 - Prob. 82PCh. 14 - Prob. 84CPCh. 14 - A Francis radial-flow hydroturbine has the...Ch. 14 - Prob. 87PCh. 14 - Prob. 88PCh. 14 - Prob. 89PCh. 14 - Prob. 90CPCh. 14 - Prob. 91CPCh. 14 - Discuss which dimensionless pump performance...Ch. 14 - Prob. 93CPCh. 14 - Prob. 94PCh. 14 - Prob. 95PCh. 14 - Prob. 96PCh. 14 - Prob. 97PCh. 14 - Prob. 98PCh. 14 - Prob. 99PCh. 14 - Prob. 100EPCh. 14 - Prob. 101PCh. 14 - Calculate the pump specific speed of the pump of...Ch. 14 - Prob. 103PCh. 14 - Prob. 104PCh. 14 - Prob. 105PCh. 14 - Prob. 106PCh. 14 - Prob. 107EPCh. 14 - Prob. 108PCh. 14 - Prob. 109PCh. 14 - Prob. 110PCh. 14 - Prove that the model turbine (Prob. 14-109) and...Ch. 14 - Prob. 112PCh. 14 - Prob. 113PCh. 14 - Prob. 114PCh. 14 - Prob. 115CPCh. 14 - Prob. 116CPCh. 14 - Prob. 117CPCh. 14 - Prob. 118PCh. 14 - For two dynamically similar pumps, manipulate the...Ch. 14 - Prob. 120PCh. 14 - Prob. 121PCh. 14 - Prob. 122PCh. 14 - Calculate and compare the turbine specific speed...Ch. 14 - Prob. 124PCh. 14 - Prob. 125PCh. 14 - Prob. 126PCh. 14 - Prob. 127PCh. 14 - Prob. 128PCh. 14 - Prob. 129PCh. 14 - Prob. 130PCh. 14 - Prob. 131PCh. 14 - Prob. 132PCh. 14 - Prob. 133PCh. 14 - Prob. 134PCh. 14 - Prob. 135PCh. 14 - A two-lobe rotary positive-displacement pump moves...Ch. 14 - Prob. 137PCh. 14 - Prob. 138PCh. 14 - Prob. 139PCh. 14 - Prob. 140PCh. 14 - Which choice is correct for the comparison of the...Ch. 14 - Prob. 142PCh. 14 - In a hydroelectric power plant, water flows...Ch. 14 - Prob. 144PCh. 14 - Prob. 145PCh. 14 - Prob. 146PCh. 14 - Prob. 147PCh. 14 - Prob. 148PCh. 14 - Prob. 149PCh. 14 - Prob. 150PCh. 14 - Prob. 151P
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- 1) A single-stage centrifugal pump operating at 650 rpm and delivering 250 gallons per second has a specific speed of 4750 rpm. The suction flange is 609.6 mm in diameter and has a vacuum pressure of 70 kPa. The discharge flange is 22 inches in diameter and its centerline is 30.5 cm above the suction centerline. What discharge pressure in kPaa would you expect to find?arrow_forward2. A Pelton wheel is working under a head of 180 m with a discharge of 0.8 m3 /s. The following data are available for the turbine: Coefficient of velocity = 0.985 Angle of deflection of jet = 165° Speed ratio 0.46 Relative velocity at exit = Relative velocity at inlet Jet ratio 12 Compute the (a) hydraulic efficiency, (b) velocity of whirl at inlet and outlet, and (c) mean bucket speed. Assume zero frictional loss in the bucket.arrow_forward[5] A Francis turbine operates at its maximum efficiency point at h0 = 0.94, corresponding to a power specific speed of 0.9 rad. The effective head across the turbine is 160 m and the speed required for electrical generation is 750 rev/min. The runner tip speed is 0.7 times the spouting velocity, the absolute flow angle at runner entry is 70 deg from the radial direction and the absolute flow at runner exit is without swirl. Assuming there are no losses in the guide vanes and the mechanical efficiency is 100%, determine (i) the turbine power and the volume flow rate; (ii) the runner diameter; (iii) the magnitude of the tangential component of the absolute velocity at runner inlet; (iv) the axial length of the runner vanes at inlet.arrow_forward
- Question 2 A centrifugal pump delivers 0.1 m³/s of water at a rotational speed of 1200 rev/min. The impeller has seven vanes which lean backwards to the direction of rotation such that the blade tip angle is 40°. The impeller has an external diameter of 0.4 m, an internal diameter of 0.2m and an axial width of 31.7 mm. Assuming that the diffuser efficiency is 51.5%, that the impeller head losses are 10% of the ideal head rise and that the diffuser exit is 0.15m in diameter, determine (a) The manometric head (b) The hydraulic efficiencyarrow_forwardUsing data given below, determine the main dimensions and blade angles of a Francis turbine. Net head=65 m, speed%3 700 rpm, BHP= 400. Actual hydraulic efficiency= 94%, overall efficiency= 85%, flow ratio= 0.18, wheel width at inlet/ wheel diameter at inlet=0.1, inner diameter/ outer diameter= 0.5. Assuming constant velocity of flow and radial discharge. Neglect area blocked by blades. Vane angle at inlet:arrow_forwardA Kaplan turbine working under a head of 20 m develops 11800 kW. The outer diameter of the runner is 3.5 m and hub diameter 1.75 m. The guide blade angle at the extreme edge of the runner is 35°. The hydraulic and overall efficiencies of the turbine are 88% and 84% respectively. If the velocity of whirl is zero at outlet determine. (i) Runner inlet and outlet vane angles at the extreme edge of the runner and (ii) Speed of the turbine. 16:27arrow_forward
- [1] A Pelton turbine is driven by two jets, generating 5.0 MW at 80 rev/min. The effective head at the nozzles is 300 m of water and the nozzle velocity coefficient, KN = 0.97. The axes of the jets are tangent to a circle 2 m in diameter. The relative velocity of the flow across the buckets is decreased by 17% and the water is deflected through an angle of 165 deg. Neglecting bearing and windage losses, determine: (i) the runner efficiency; (ii) the diameter of each jet; (iii) the power specific speed.arrow_forward80. APelton wheel turbine operates under a head of 125 m at a speed of 2000 rpm. To operate very close to the maximum efficiency, the mean diameter of the Pelton wheel is nearly (a) 24 cm (b) 48 cm (c) 12.5 cm (d) 36 cmarrow_forwardA centrifugal pump delivers 3000,000 liters per hour of water to a pressurized thank whose pressure is 280 kPa. The source of water is 5 meters below the pump. The diameter of the suction pipe is 300 mm and the discharge pipe is 250 mm. calculate the KW rating of the driving motor assuming the pump efficiency to be 72%. (answer is 13.16 KW) with drawing.arrow_forward
- Asap; An impulse turbine is used to produce hydroelectric power. The average radius of the Pelton wheel is 2.0 m, and the jet velocity is 103 m/s from a nozzle of exit diameter equal to 0.318 m. The turning angle of the buckets is 165°. Take the density of water to be 998 kg/m^3. Calculate the ideal shaft power in MW.arrow_forwardA boiler feed pump receives 60 liters/sec of water with specific volume of 0.00112 m3/kg at a head of 750 m. What is the power output of driving motor if pump efficiency is 65%?arrow_forwardI need the answer as soon as possiblearrow_forward
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