Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Textbook Question
Chapter 10, Problem 78P
A typical American multi blade farm windmill has D = 7 ft and is designed to produce maximum power in winds with V= 15 mph. Estimate the rate of water delivery as a function of the height to which the water is pumped.
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A single stage centrifugal pump has an impeller of 250 mm diameter
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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…
1. A Pelton wheel of 4 m diameter operates with a head of 1000 m. Estimate the flow rate and power output of the machine, assuming that it operates at peak efficiency and there are no losses in the flow upstream of the turbine. 2. A Pelton wheel operates with a head of 400 m at 350 rpm, and it is powered by a jet 12 cm in diameter. Find the specific speed (U.S. customary units), and the wheel diameter, if there are no losses in the flow upstream of the turbine and it operates at peak efficiency.
Chapter 10 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 10 - The geometry of a centrifugal water pump is r1 =...Ch. 10 - Find the resulting -groups when (a) D, , and Q or...Ch. 10 - Consider the centrifugal pump impeller dimensions...Ch. 10 - Dimensions of a centrifugal pump impeller areCh. 10 - Dimensions of a centrifugal pump impeller areCh. 10 - The blade is one of a series. Calculate the force...Ch. 10 - This blade is one of a series. What force is...Ch. 10 - A centrifugal water pump, with 15-cm-diameter...Ch. 10 - A centrifugal water pump designed to operate at...Ch. 10 - A series of blades, such as in Example 10.13,...
Ch. 10 - In passing through this blade system, the absolute...Ch. 10 - A centrifugal pump runs at 1750 rpm while pumping...Ch. 10 - A centrifugal water pump designed to operate at...Ch. 10 - Kerosene is pumped by a centrifugal pump. When the...Ch. 10 - In the water pump of Problem 10.8, the pump casing...Ch. 10 - Use data from Appendix C to choose points from the...Ch. 10 - Data from tests of a water suction pump operated...Ch. 10 - A centrifugal pump impeller having r1 = 50 mm, r2...Ch. 10 - A centrifugal pump impeller having dimensions and...Ch. 10 - An axial-flow fan operates in sea-level air at...Ch. 10 - Data measured during tests of a centrifugal pump...Ch. 10 - A small centrifugal pump, when tested at N = 2875...Ch. 10 - If the impeller of Problem 10.20 rotates between...Ch. 10 - At the outlet of a pump impeller of diameter 0.6 m...Ch. 10 - Typical performance curves for a centrifugal pump,...Ch. 10 - A pump with D = 500 mm delivers Q = 0.725 m3/s of...Ch. 10 - At its best efficiency point ( = 0.87), a...Ch. 10 - Using the performance curves in Appendix C, select...Ch. 10 - A pumping system must be specified for a lift...Ch. 10 - A centrifugal water pump operates at 1750 rpm; the...Ch. 10 - A set of eight 30-kW motor-pump units is used to...Ch. 10 - A blower has a rotor with 12-in. outside diameter...Ch. 10 - A centrifugal water pump has an impeller with an...Ch. 10 - Appendix C contains area bound curves for pump...Ch. 10 - Use data from Appendix C to verify the similarity...Ch. 10 - A centrifugal water pump has an impeller with...Ch. 10 - Catalog data for a centrifugal water pump at...Ch. 10 - A 1/3 scale model of a centrifugal water pump...Ch. 10 - Sometimes the variation of water viscosity with...Ch. 10 - A large deep fryer at a snack-food plant contains...Ch. 10 - Data from tests of a pump, with a...Ch. 10 - A four-stage boiler feed pump has suction and...Ch. 10 - A centrifugal pump operating at N = 2265 rpm lifts...Ch. 10 - A centrifugal pump is installed in a piping system...Ch. 10 - Part of the water supply for the South Rim of...Ch. 10 - Consider the flow system shown in Problem 8.94....Ch. 10 - Afire nozzle is supplied through 300 ft of...Ch. 10 - Performance data for a centrifugal fan of 3-ft...Ch. 10 - The performance data of Problem 10.57 are for a...Ch. 10 - Experimental test data for an aircraft engine fuel...Ch. 10 - Preliminary calculations for a hydroelectric power...Ch. 10 - Conditions at the inlet to the nozzle of a Pelton...Ch. 10 - A Francis turbine is to operate under a head of 46...Ch. 10 - A Kaplan (propeller with variable-pitch blades)...Ch. 10 - Francis turbine Units 19, 20, and 21, installed at...Ch. 10 - Measured data for performance of the reaction...Ch. 10 - For a flow rate of 12 L/s and turbine speed of 65...Ch. 10 - The velocity of the water jet driving this impulse...Ch. 10 - An impulse turbine is to develop 15 MW from a...Ch. 10 - An impulse turbine under a net head of 33 ft was...Ch. 10 - The absolute velocities and directions of the jets...Ch. 10 - A fanboat in the Florida Everglades is powered by...Ch. 10 - A jet-propelled aircraft traveling at 225 m/s...Ch. 10 - When an air jet of 1-in.-diameter strikes a series...Ch. 10 - The volume flow rate through the propeller of an...Ch. 10 - A typical American multi blade farm windmill has D...Ch. 10 - An airplane flies at 200 km/h through still air of...Ch. 10 - This ducted propeller unit drives a ship through...Ch. 10 - A model of an American multi blade farm windmill...Ch. 10 - A large Darrieus vertical axis wind turbine was...Ch. 10 - Show that this ducted propeller system when moving...Ch. 10 - This ducted propeller unit (now operating as a...Ch. 10 - What is the maximum power that can be expected...Ch. 10 - If an ideal windmill is operating at best...Ch. 10 - A prototype air compressor with a compression...Ch. 10 - Prob. 89PCh. 10 - We have seen many examples in Chapter 7 of...
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- The power output versus velocity profile for a wind turbine is shown in the figure below. Assume the rotor diameter is 80 meters, the air density is 1.22 kg/m3, the cut-in speed is 4 m/s, the rated speed is 13 m/s and the corresponding rated (i.e., peak) power output is 1500 kW. Calculate the power coefficient when the wind turbine is operating at wind speed of 5 m/s, 10 m/s and 13 m/s.arrow_forwardCalculate the blade length of a wind turbine rotor which produces a maximum power of 4 MW at a wind speed of 41 Km/Hr. Use air density as 1.23 Kg/m³, generator efficiency as 93%, gear box efficiency as 0.74 and power coefficient of blades as 0.38.arrow_forwardEstimate the amount of power generated by a wind turbine having a powercoefficient of 0.37 given the annual average wind speed:Rotor diameter = 125 mCenter of rotor at an elevation 160 m above the surface level.Location: Oklahoma City, OKarrow_forward
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