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 61P
Preliminary calculations for a hydroelectric power generation site show a net head of 2350 ft is available at a water flow rate of 75 ft3/s. Compare the geometry and efficiency of Pelton wheels designed to run at (a) 450 rpm and (b) 600 rpm.
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A small model of a water pump with an impeller diameter of 8 in is able to develop a head of 15 ft and flow of 100 GPM when spun at 1200 RPM with a power input of 0.4 hp. If a larger model of the same pump with an impeller diameter of 24 in is to be used for another application where the required head is 80ft, at what speed (in RPM) should this larger model be ran, and at what capacity (in GPM) can it deliver water?
In a hydro-electric scheme/plant five (5) Pelton wheels are to be used under the following design and
installation conditions:
Output power required
28 MW
Gross vertical head
271m
Rotational speed of the shaft
375 rev/min
Number of jets per Pelton Wheel
2 off (two)
Maximum operating overall efficiency
75.1 %
Head lost to friction in pipeline not exceed
Unknown
The ratio of the bucket speed to the jet speed
0,46
The relative velocity at exit to the relative velocity at entry 0,85
165°
Given that the blade deflect the water at angle
Determine:
The overall flow rate throughout the system.
Om /s Ocm/s Cmm/s
Answer:
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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