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 66P
Measured data for performance of the reaction turbines at Shasta Dam near Redding, California, are shown in Fig. 10.38. Each turbine is rated at 103,000 hp when operating at 138.6 rpm under a net head of 380 ft. Evaluate the specific speed and compute the shaft torque developed by each turbine at rated operating conditions. Calculate and plot the water flow rate per turbine required to produce rated output power as a function of head.
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Analyze to select the type of the turbine when its diameter is 600 mm, rotational
speed is 600 rpm and working under a water head of 120 meters. The buckets
deflect the 100 mm diameter jet through an angle of 165°. Take the coefficient
of velocity for the nozzle as 0.97. Use Table given below for selection of turbine.
Sr. # Specific speed (rpm)
Type of turbine
1
8-30
Pelton wheel with one nozzle
30 - 50
Pelton wheel with 2 or more nozzles
50-250
Francis turbine
4
250-1000
Kaplan turbine
2.
3.
A. A water jet of diameter 180 mm impinges on the buckets of a Pelton turbine having overall efficiency of 85% while operating under a net head of 500 m and at speed of 420 rpm. Find the specific speed of the turbine. Take coefficient of velocity of the jet as 0.98 and speed ratio as 0.46.
B. The pitch circle diameter of a Pelton wheel is 0.9 m. A jet of water of diameter 80 mm gets deflected by an angle of 170° when it impinges on the buckets. The bucket friction coefficient and coefficient of velocity of jet can be taken as 0.93 and 0.97 respectively. If the net head available on the wheel is 500 m and speed ratio is 0.45, calculate (a) the power transferred to to the wheel by the jet, (b) hydraulic efficiency, and (c) specific speed of the turbine. Take mechanical efficiency of wheel as 0.9.
A Kaplan Turbine develops 5000 kW under the net head of 5 m. The speed ratio and flow ratio
are 2 and 0.5, respectively. The outer diameter of the runner is thrice its inner diameter.
Compute the runner diameters and speed if overall efficiency is 0.92.
Chapter 10 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
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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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- 2. 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_forwardA Kaplan turbine develops 10,000kW under an effective head 8m. The overall efficiency is 0.86, the speed ratio 2.0, and flow ratio 0.60. The hub diameter of the wheel is 0.35 times the outside diameter of the wheel. Find the diameter and speed of the turbine. Show schematic diagram and provide solutions.arrow_forwardProblem 2: Design a Pelton wheel turbine for a head of 350 m at a speed of 300 rpm. Take the overall efficiency of the wheel as 85% and ratio of jet to the wheel diameter as 1/10. Assume a proper value for the coefficient of velocity, and relationship between the jet and bucket velocities.arrow_forward
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