Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7, Problem 70P
Closed-circuit wind tunnels can produce higher speeds than open-circuit tunnels with the same power input because energy is recovered in the diffuser downstream from the test section. The kinetic energy ratio is a figure of merit defined as the ratio of the kinetic energy flux in the test section to the drive power. Estimate the kinetic energy ratio for the 40 ft × 80 ft wind tunnel at NASA-Ames described on page 267.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The cylinder bore diameter of a single-acting reciprocating pump is 180 mm and its stroke is 360 mm. The pump runs at 53 rpm and lifts water through a height of 25 m. The delivery pipe is 23 m long and 114 mm in diameter. Find (i) the theoretical discharge in liters/s,(ii) the theoretical power required to run the pump in kW, (iii) the percentage of slip, and (iv) the coefficient of discharge., if the actual discharge is 4.3 liters/s. Assume the weight density of water is 9810 N/m3 ???
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…
A certain fan delivers 340 m3/min of air at a static pressure of 25.4 mm of water gagewhen operating at a speed of 400 rpm and requires an input of 3 kW. If in the sameinstallation 425 m/min of air are desired, what will be the new static pressure in termsof mm of water and fan power required?
Chapter 7 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 7 - The slope of the free surface of a steady wave in...Ch. 7 - One-dimensional unsteady flow in a thin liquid...Ch. 7 - In atmospheric studies the motion of the earths...Ch. 7 - Fluid fills the space between two parallel plates....Ch. 7 - By using order of magnitude analysis, the...Ch. 7 - Consider a disk of radius R rotating in an...Ch. 7 - An unsteady, two-dimensional, compressible,...Ch. 7 - Experiments show that the pressure drop for flow...Ch. 7 - At very low speeds, the drag on an object is...Ch. 7 - We saw in Chapter 3 that the buoyant force, FB, on...
Ch. 7 - Assume that the velocity acquired by a body...Ch. 7 - Derive by dimensional analysis an expression for...Ch. 7 - The speed of shallow water waves in the ocean...Ch. 7 - The speed, V, of a free-surface wave in shallow...Ch. 7 - The boundary-layer thickness, , on a smooth flat...Ch. 7 - The speed, V, of a free-surface gravity wave in...Ch. 7 - Derive an expression for the velocity of very...Ch. 7 - Derive an expression for the axial thrust exerted...Ch. 7 - Derive an expression for drag force on a smooth...Ch. 7 - The energy released during an explosion, E, is a...Ch. 7 - Measurements of the liquid height upstream from an...Ch. 7 - The load-carrying capacity, W, of a journal...Ch. 7 - Derive an expression for the drag force on a...Ch. 7 - A circular disk of diameter d and of negligible...Ch. 7 - Two cylinders are concentric, the outer one fixed...Ch. 7 - The time, t, for oil to drain out of a viscosity...Ch. 7 - You are asked to find a set of dimensionless...Ch. 7 - A continuous belt moving vertically through a bath...Ch. 7 - Derive an expression for the frictional torque...Ch. 7 - Tests on the established flow of six different...Ch. 7 - The power, P, required to drive a fan is believed...Ch. 7 - The sketch shows an air jet discharging...Ch. 7 - The diameter, d, of bubbles produced by a...Ch. 7 - Choked-flow nozzles are often used to meter the...Ch. 7 - A large tank of liquid under pressure is drained...Ch. 7 - Spin plays an important role in the flight...Ch. 7 - The power loss, P, in a journal bearing depends on...Ch. 7 - The thrust of a marine propeller is to be measured...Ch. 7 - The rate dT/dt at which the temperature T at the...Ch. 7 - When a valve is closed suddenly in a pipe with...Ch. 7 - An airship is to operate at 20 m/s in air at...Ch. 7 - An airplane wing of 3 m chord length moves through...Ch. 7 - A flat plate 1.5 m long and 0.3 m wide is towed at...Ch. 7 - This 1:12 pump model using water at 15C simulates...Ch. 7 - An ocean-going vessel is to be powered by a...Ch. 7 - On a cruise ship, passengers complain about the...Ch. 7 - A 1:3 scale model of a torpedo is tested in a wind...Ch. 7 - A flow rate of 0:18 m3/s of water at 20C...Ch. 7 - A force of 9 N is required to tow a 1:50 ship...Ch. 7 - An airplane wing, with chord length of 1.5 m and...Ch. 7 - A water pump with impeller diameter of 24 in. is...Ch. 7 - A model hydrofoil is to be tested at 1:20 scale....Ch. 7 - A ship 120 m long moves through freshwater at 15C...Ch. 7 - A 1:30 scale model of a cavitating overflow...Ch. 7 - In some speed ranges, vortices are shed from the...Ch. 7 - A 1:8 scale model of a tractor-trailer rig is...Ch. 7 - On a cruise ship, passengers complain about the...Ch. 7 - When a sphere of 0.25 mm diameter and specific...Ch. 7 - The flow about a 150 mm artillery projectile which...Ch. 7 - Your favorite professor likes mountain climbing,...Ch. 7 - A 1:50-scale model of a submarine is to be tested...Ch. 7 - Consider water flow around a circular cylinder, of...Ch. 7 - A 1:10 scale model of a tractor-trailer rig is...Ch. 7 - The power, P, required to drive a fan is assumed...Ch. 7 - Over a certain range of air speeds, V, the lift,...Ch. 7 - The pressure rise, p, of a liquid flowing steadily...Ch. 7 - An axial-flow pump is required to deliver 0.75...Ch. 7 - A model propeller 1 m in diameter is tested in a...Ch. 7 - Consider Problem 7.38. Experience shows that for...Ch. 7 - Closed-circuit wind tunnels can produce higher...Ch. 7 - A 1:16 model of a bus is tested in a wind tunnel...Ch. 7 - The propagation speed of small-amplitude surface...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Water in a piston/cylinder, similar to Fig P3.110, is at 100°C, x=0.5 with mass 1 kg, and the piston rests at t...
Fundamentals Of Thermodynamics
Determine the horizontal and vertical components of reaction at the pin A and the reaction of the rocker B on t...
Engineering Mechanics: Statics
What is the difference between oblique machining and orthogonal machining?
DeGarmo's Materials and Processes in Manufacturing
P43. In each case, determine the resultant moment of the forces acting about the x, y, and z axes.
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
What is the most important factor influencing the strength of a brazed joint?
Degarmo's Materials And Processes In Manufacturing
1.1 What is the difference between an atom and a molecule? A molecule and a crystal?
Manufacturing Engineering & Technology
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The cylinder bore diameter of a double-acting reciprocating pump is 160 mm and its stroke is 340 mm. The pump runs at 53 rpm and lifts water through a height of 29 m. The delivery pipe is 22 m long and 100 mm in diameter. Find (i) the theoretical discharge in liters/s,(ii) the theoretical power required to run the pump in kW, (iii) the percentage of slip, and (iv) the coefficient of discharge., if the actual discharge is 10 liters/s. Assume the weight density of water is 9810 N/m3arrow_forwardA pump impeller rotating at 1400 rpm has an outside radius of 21 cm, the vane outlet angle β2 is 158° and the radial velocity at the outlet Cr2 is 4 m/s. Assuming radial flow at inlet, draw the theoretical outlet velocity diagram and calculate the various velocities and angles. Assume a deviation of 10° applied to β2 due to circulation after the modern theory. The flow is 30 lit/s. After drawing/illustrating the velocity diagram, find the theoretical head Ho, in meters, assuming radial flow at inlet, neglecting the deviation in inlet velocity diagram. calculate the water horsepower.arrow_forwardA Pitot tube at a height of 3 m, measures wind velocity 5.3 m/s. What is the wind velocity at a height of 50 m? If the center of a 45 m diameter wind turbine is placed at 50 m, what is the maximum power this turbine may produce?arrow_forward
- The cylinder bore diameter of a double-acting reciprocating pump is 170 mm and its stroke is 370 mm. The pump runs at 55 rpm and lifts water through a height of 26 m. The delivery pipe is 23.5 m long and 113 mm in diameter. Find (i) the theoretical discharge in liters/s,(ii) the theoretical power required to run the pump in kW, (iii) the percentage of slip, and (iv) the coefficient of discharge., if the actual discharge is 13 liters/s. Assume the weight density of water is 9810 N/m3 (i)Theoretical discharge in liter/s (ii) the theoretical power required to run the pump in kW (iii) the percentage of slip (iv) the coefficient of discharge.arrow_forwardPumps: A centrifugal pump having 4 stages in parallel, delivers 18 kiloliters/min of liquid against a head of 25 m. The diameter of the impellers being 24 cm and the speed of 1800 rpm. A pump is to be made up with a number of stages in series of similar construction to that of the first pump to run at 1250 rpm and to deliver 15 kiloliters/min against a totalhead of 250 m. Find the diameter of the impellers and the number of stages required in this case. Answer: D = 46.63 cm, n = 6 stagesarrow_forwardPre L11 Conservation of Angular Momentum For the sprinkler shown, find a. the torque required to hold it steady, and b. the rotation rate in rpm if it is released and rotates frictionlessly. 0.152 m dnozzle = 0.00635 m Q = 0.284 1/sarrow_forward
- A pump delivers 10 L/min with a pressure rise of 80 bar. The shaft speed is 1420 rev/min and the volumetric displacement is 8 cm3/rev. The theoretical torque is 11.4 Nm. Calculate the volumetric efficiency of the pump. (ii) If the power supply to the motor that drives the pump is now reduced by 50%, what would happen to the volumetric efficiency of the pump? Support your answer with relevant calculations. You may propose your own scientific assumptions.arrow_forwardAn inflow to a turbine with a discharge of 20 m³/s leads to a ration speed of 150 rpm. The blades inlet edges have an angle of 120° to the direction of whirl. The outer diameter of the runner is 1.5 m and the runner inlet width is 1.0 m. 5. (a) To plot the velocity triangle at the blade outlet edge. (b) Assume design operating conditions and no velocity of whirl at outlet, calculate the power delivered by the runner. (c) The elevation difference between the head race and the tail race is 23 m and the head available to the turbine is 20 m, what is the hydraulic efficiency of the turbine and overall efficiency? (d) If a model of 1/10 full scale is constructed to operate under a head of 10 m, what must be its speed, power, water consumption and overall efficiency to run under the similar conditions to the prototype?arrow_forward2.5-L bench scale bioreactor is used for the production of recombinant P64K protein from Neisseria meningitides. The dimensions for the bioreactor are Dt 12.9 cm, ratio Di/Dt = 1/3 and N = 700 rpm. With the scale up factor of 2.24, determine the impeller tip speed (m/s) for the pilot scale bioreactor based on constant impeller tip speed and constant power consumption per volume. Predict which scale up method might give a higher concentration of P64K, if the demand of dissolved oxygen plays an important role.arrow_forward
- A main pipe divides into two parallel pipes which again forms one pipe. The length and diameter for the first parallel pipe are 2000 m and 1.0 m respectively, while the length and diameter of the second pipe arc 2000 m and 0.8 m respectively. If the total flow in the main is 3 m3/s and the co-efficient of friction for each paralell pipe is same and equal to 0.005, find the rate of flow in each parallel pipe. [Ans. (1) 1.906 m3/s; 1.094 m3/s]arrow_forwardA single stage centrifugal pump has an impeller of 250 mm diameter which rotates at 1,800 rpm and lifts 60 lit/sec to 25 m with an efficiency of 70%. Obtain the number of stages and diameter of each impeller of a similar multi-stage pump to lift 75 lit/sec to 175 m at 1,500 rpm. (8 stages ; 280 mm dia)arrow_forwardA water pump produces a flow of 0.25 m /s and a power of 2 kW, using an 300-mm-diameter impeller. Part A What is the flow if a 150-mm-diameter impeller is used to maintain dynamic similitude? Express your answer to three significant figures and include the appropriate units. Part B What is the power if a 150-mm-diameter impeller is used to maintain dynamic similitude? Express your answer to three significant figures and include the appropriate units.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY