Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 5, Problem 90P
The velocity profile for turbulent flow in a circular pipe is approximated as
where n = 9. Determine the kinetic energy correction factor for this flow.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The velocity profile for turbulent flow in a circular pipe is approximated as u(r) = umax(1 - r/R)1/n, where n = 9. Determine the kinetic energy correction factor for this flow.
Oil with specific gravity of 0.87 is being pumped
from a reservoir to an elevated tank as shown
below. The pump in the system is 80% efficient
and is rated at 240 kW (i.e. Pp is 240 kW).
Determine the flow rate of oil in the pipe if the
total head loss from point 1 to point 2 is 12 m of
oil. Point 2 represents the exit of the pipe.
Reference line is the ground level. The stopping
error ɛs is 3%. You should maximum have 2
iterations after the first value.
Elev. 2 50
200-mm-diameter pipe
Pump
-160-mm -diameter pipe
-Elev. 150 m
Oil
A 12" diameter pipe carries oil with a velocity distribution of v = 9(r² - r). Determine the average velocity and the value of the kinetic energy correction factor.
Chapter 5 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 5 - Does the amount of mass entering a control volume...Ch. 5 - Define mass and volume flow rates. How are they...Ch. 5 - Name four physical quantities that are conserved...Ch. 5 - When is the flow through a control volume steady?Ch. 5 - Consider a device with one inlet and one outlet....Ch. 5 - A hair dryer is basically a duct of constant...Ch. 5 - A garden hose attached with a nozzle is used to...Ch. 5 - Air whose density is 0.082 Ibm/ft3 enters the duct...Ch. 5 - A 0.7$-m3 rigid tank initially contains air whose...Ch. 5 - Consider the flow of an incompressible Newtonian...
Ch. 5 - A desktop computer is to be cooled by a fan whose...Ch. 5 - The minimum fresh air requirement of a residential...Ch. 5 - The ventilating fan of the bathroom of a building...Ch. 5 - Air enters a nozzle steadily at 2.21 kg/m3 and 20...Ch. 5 - Air at 40°C flow steadily through the pipe shown...Ch. 5 - In climates with low night-time temperatures, an...Ch. 5 - What is mechanical energy? How does it differ from...Ch. 5 - Define turbine efficiency, generator efficiency,...Ch. 5 - What is mechanical efficiency? What does a...Ch. 5 - How is the combined pump-motor efficiency of a...Ch. 5 - Prob. 21PCh. 5 - A differential thermocouple with sensors at the...Ch. 5 - Electric power is to be generated by installing a...Ch. 5 - Consider a river flowing toward a lake at an...Ch. 5 - Express the Bernoulli equation in three different...Ch. 5 - What are the three major assumptions used in the...Ch. 5 - Define static, dynamic, and hydrostatic pressure....Ch. 5 - What is streamwise acceleration? How does it...Ch. 5 - What is stagnation pressure? Explain how it can be...Ch. 5 - Define pressure head, velocity head, and elevation...Ch. 5 - How is the location of the hydraulic grade line...Ch. 5 - Prob. 33CPCh. 5 - What is the hydraulic grade line? How does it...Ch. 5 - A glass manometer with oil as the working fluid is...Ch. 5 - The velocity of a fluid flowing in a pipe is to be...Ch. 5 - The water level of a tank on a building roof is 20...Ch. 5 - Prob. 38CPCh. 5 - Prob. 39CPCh. 5 - In a hydroelectric power plant, water enters the...Ch. 5 - A Pitot-static probe is used to measure the speed...Ch. 5 - The air velocity in the duct of a heating system...Ch. 5 - A piezometer and a Pitot tube are tapped into a...Ch. 5 - The diameter of a cylindrical water tank is D0and...Ch. 5 - A siphon pumps water from a large reservoir to a...Ch. 5 - Water flows through a horizontal pipe at a rate of...Ch. 5 - An airplane is flying at an altitude of 10.500 m....Ch. 5 - While traveling on a dirt road, the bottom of a...Ch. 5 - The water in an 8-rn-diameter, 3-rn-high...Ch. 5 - Reconsider Prob. 5-49. Determine how long it will...Ch. 5 - Air at 105 kPa and 37°C flows upward through a...Ch. 5 - Water at 20°C is siphoned from a reservoir as...Ch. 5 - The water pressure in the mains of a city at a...Ch. 5 - A pressurized tank of water has a 10-cm-diameter...Ch. 5 - Air is flowing through a venturi meter whose...Ch. 5 - The water level in a tank is 20 m above the...Ch. 5 - The air velocity in a duct is measured by a...Ch. 5 - In cold climates, water pipes may freeze and burst...Ch. 5 - Prob. 61PCh. 5 - A fluid of density and viscosity flows through a...Ch. 5 - What is the minimum diameter at section (1) to...Ch. 5 - What is irreversible head loss? How is it related...Ch. 5 - What is useful pump head? How is it related to the...Ch. 5 - Consider the steady adiabatic flow of an...Ch. 5 - Consider the steady adiabatic flow of an...Ch. 5 - What is the kinetic energy correction factor? Is...Ch. 5 - The water level in a tank is 20 m above the...Ch. 5 - A 3-rn-high tank filled with water has a discharge...Ch. 5 - A person is filling a knee-high bucket with water...Ch. 5 - Tater is being pumped from a large lake to a...Ch. 5 - A 15-hp (shaft) pump is used to raise water to a...Ch. 5 - Water flows at a rate of 0.040 m3/s in a...Ch. 5 - The water level in a tank is 20 m above the...Ch. 5 - A hydraulic turbine has 50 m of head available at...Ch. 5 - In a hydroelectric power plant, water flows from...Ch. 5 - Reconsider Prob. 5-78E. Determine the flow rate of...Ch. 5 - A fan is to be selected to ventilate a bathroom...Ch. 5 - Water flows at a rate of 20 L/s through a...Ch. 5 - The water level in a tank is 34 ft above the...Ch. 5 - A large tank is initially filled with water 4 m...Ch. 5 - Water enters a hydraulic turbine through a...Ch. 5 - A 78-percent efficient 12-hp pump is pumping water...Ch. 5 - Water is pumped from a lower reservoir to a higher...Ch. 5 - Water in a partially filled large tank is to be...Ch. 5 - Underground water is to be pumped by a 78 percent...Ch. 5 - Reconsider Prob. 5-88. Determine the flow rate of...Ch. 5 - The velocity profile for turbulent flow in a...Ch. 5 - The demand for electric power is usually much...Ch. 5 - Prob. 92PCh. 5 - Consider a fully filled hemisphere shaped tank...Ch. 5 - The velocity of a liquid flowing in a circular...Ch. 5 - Air at 250 kgrn3 enters a nozzle that has an...Ch. 5 - The air in a 5m5-m3-m hospital room is to be...Ch. 5 - The water level in a tank is 70 ft above the...Ch. 5 - A pressurized 2-rn-diameter tank of water has a...Ch. 5 - Underground water is being pumped into a pool...Ch. 5 - Prob. 100PCh. 5 - A very large tank contains air at 102 kPa at a...Ch. 5 - Water is flowing through a Venturi meter whose...Ch. 5 - Water flows at a rate of 0.011 m3/s in a...Ch. 5 - Air flows through a pipe at a rate of 120 L/s. The...Ch. 5 - A 3-rn-high large tank is initially filled with...Ch. 5 - Reconsider Prob. 5-105. In order to dram the tank...Ch. 5 - A D0= 1 2-rn-diameter tank is initially filled...Ch. 5 - An oil pump is drawing 18 kW of electric power...Ch. 5 - A wind tunnel draws atmospheric air at 20°C and...Ch. 5 - Consider a spherical tank containing compressed...Ch. 5 - A tank with openings 1,2, and 3 is moving to left...Ch. 5 - Two dimensionally identical containers are...Ch. 5 - A circular thin plate is placed on the top of a...Ch. 5 - A pump-storage plant uses a turbine to generate...Ch. 5 - A diffuser in a pipe flow is basically a slow...Ch. 5 - Prob. 117PCh. 5 - Prob. 118PCh. 5 - Prob. 119PCh. 5 - Air enters a steady-flow compressor at 1 atm and...Ch. 5 - A 7$-m-high water body that is open to the...Ch. 5 - Prob. 122PCh. 5 - Prob. 123PCh. 5 - A hydraulic turbine is used to generate power by...Ch. 5 - The efficiency of a hydraulic turbine-generator...Ch. 5 - Which one is not an assumption involved with the...Ch. 5 - Consider incompressible, frictionless flow of a...Ch. 5 - Consider incompressible, frictionless flow of...Ch. 5 - Consider water flow in a piping network. The...Ch. 5 - The static and stagnation pressures of a fluid in...Ch. 5 - The static and stagnation pressures of a fluid in...Ch. 5 - The difference between the heights of energy grade...Ch. 5 - Water at 120 kPa (gage) is flowing in a horizontal...Ch. 5 - Water is withdrawn a the bottom of a large tank...Ch. 5 - Water at 80 kPa (gage) enters a horizontal pipe at...Ch. 5 - Liquid ethanol (p = 783 kg/m3) at a pressure of...Ch. 5 - Seawater is to be pumped into a large tank at a...Ch. 5 - An adiabatic pump is used to increase the pressure...Ch. 5 - The shaft power from a 90 percent-efficient...Ch. 5 - Using a 1are bucket whose volume is known and...Ch. 5 - Your company is setting up an experiment that...Ch. 5 - Computer-aided designs, the use of better...Ch. 5 - Using a handheld bicycle pump to generate an air...Ch. 5 - Using a flexible drinking straw and a ruler,...Ch. 5 - The power generated by a wind turbine is...
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
- Water (p = 1000 kg m3'H= 10-3 R) flows in a horizontal constant-area pipe; the pipe cross ms 1. section area of 0.1 m?. At the pipe inlet, a pump is installed and at the outlet, the pressure is atmospheric. Determine the pump power when the pipe length is 10 meter and a. When the velocity is 0.01 m/s b. When the velocity is 0.1 m/s and the pipe is smooth When the velocity is 0.1 m/s and the pipe equivalent roughness is 0.1 mm (you may use Moody chart here) d. When the pipe is smooth and vertical and the velocity is 0.1 m/s С.arrow_forwardGiven that h=30 mm, μ=0.002 Pa.s and ρ=1000 kgm-3 Consider a steady-state turbulent flow between parallel plates the distance between palates is h. The velocity distribution across the channel is described by power law function. Express the mean flow velocity through the maximum flow velocity for a max velocity flow of 3 m/s. Determine the ratio between the mean (average) flow velocity to the mean flow velocity in a pipe (if D=h), if the maximum velocities are equal for both the cases. Calculate the pressure gradient in a flat channel, using the Blausius equation for a pipe of a circular cross-section using an equivalent pipe diameter concept.arrow_forwardOil ( μ = 0.478 Pa.s and ν = 5.3 *10-4 m2/s ) flows downward in a pipe which is ( 3 cm ) in diameter and has a slope of ( 30o ) with the horizontal. The pressure gradient along the pipe is ( dp/dx = - 918.5 N/m3 ). Determine; a. The volume flow rate. b. The wall shear stress. c. The maximum and average velocities. d. The Reynolds number.arrow_forward
- A pipe of diameter 400 mm carries water at a velocity Of 25 m/s. The pressures at the points A and B are given as 29.43 x 104 N/m2 and 22.563 x 104 N/m2 respectively while the datum head at A and B are 28 m and 30 m. Find the loss of head between A and B. Answer: HA-HB = 5 m/arrow_forwardThe diameter of an open-topped tank 1.5 m high increases uniformly from 4.2 m at the base to 6 m at the top. Discharge from the base of the tank takes place through a 75 mm diameter pipe which is 3 m in length. The pipe discharges the water to the atmosphere 1.5 m below the base of the tank. Initially, the tank is fully filled with water. Take f = 0.01. Find the time to empty the tank.arrow_forwardWater flows from the nozzle attached to the spray tank shown in the figure below. Determine the flowrate if the loss coefficient for the nozzle (based on upstream conditions) is 0.75 and the friction factor for the rough hose is 0.11. Assume p₁ = 150 kPa, z₁ = 0.5 m. Q= -P₁ m³/s 40° Nozzle diameter = 7.5 mm D = 15 mm € = 1.9 marrow_forward
- Vvarrow_forwardA water discharge 8 m^3/s is to flow through this horizontal pipe, which is 1 m in diameter. If the head loss is given as 7 V^2/2g (V is velocity in the pipe), how much power will have to be supplied to the flow by the pump to produce this discharge? Plot also the EGL and HGL against the given diagram.arrow_forwardThe diameter of an open topped tank 1.5 m high increases uniformly from 4.2 m at the base to 6 m at the top. Discharge from the base of the tank takes place through a 75 mm diameter pipe which is 3 m in length. The pipe discharges the water to the atmosphere 1.5 m below the base of the tank. Initially, the tank is fully filled with water. Take f =0.01. Find the time to empty the tank.arrow_forward
- A pipe tapers over 60m from 450mm in diameter to 675mm in diameter. The gauge pressure at the inlet is 75 kN/m2 and the gauge pressure at the outlet is 90 kN/m2. If the centreline of the pipe rises at a gradient of 1 in 80 and the energy loss due to friction is 0.01m per metre length determine the flowrate in the pipeline and the velocity at entry and exit.arrow_forwardThe present pumping rate of crude oil through the Alaska Pipeline with an ID of 39 in is 550,000 barrels per day (1 barrel is 42 U. S. gallons). For crude oil at 60ºC, take ρ = 860 kg/m3 and μ ≈ 0.004 kg/m·s. What would be the maximum rate if the flow were constrained to be laminar? Take π = 22/7. Answer is asking for maximum flow rate for barrels per dayarrow_forwardSAE 30 oil at 20°C flows in the 2.5-cm-diameter pipe as shown in the figure below, which slopes at 37°. For SAE 30 oil, take ρ = 891 kg/m3 and μ = 0.29 kg/m⋅s. Determine the flow rate in m3/h. The flow rate is m3/h.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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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
Physics 33 - Fluid Statics (1 of 10) Pressure in a Fluid; Author: Michel van Biezen;https://www.youtube.com/watch?v=mzjlAla3H1Q;License: Standard YouTube License, CC-BY