Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 5, Problem 10P
Consider the flow of an incompressible Newtonian fluid between two parallel plates. If the upper plate moves to right wilt,
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Consider the flow of an incompressible Newtonian fluid between two parallel plates that are 4 mm apart. If the upper plate moves to right with u1 = 5 m/s while the bottom one moves to the left with u2 = 1.5 m/s, what would be the net flow rate at a cross-section between two plates? Take the plate width to be 5 cm.
(1) Basic Concepts
Show that a stress and a momentum flux have the same unit by showing that
a force and the rate of momentum change or transfer have the same unit.
(2) Overall Mass Balance Equation
An incompressible fluid is flowing through a circular conduit, as shown in the
figure below Fig P1.2-1. The velocity profile of the fluid in the 8-cm-diameter
pipe is
v, = 0.1
ст/s
What is the average velocity in the 2-cm-diameter pipe?
2cm
8cm
Tube
(3) Overall Momentum Balance Equation
Ahorizontal turbulent liquid jet of diameter Dand average velocity v, impinges
on a vertical plate mounted on a cart, thus exerting a force F on a plate, as
shown in Fig. P1.4-3. Determine the opposing force needed to keep the plate
moving at a constant velocity v, (< v). Neglect the viscous and gravity forces.
(Hint: Let the control volume Q move with the plate)
Plate
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1|Page
(4) Differential Momentum Balance Equation
Consider the incompressible Newtonian fluid flowing, under the pressure
gradient…
Air flows at the rate of 1.5m/s through a horizontal pipe with a gradually reducing cross-section
as shown in the figure. The two cross-sections of the pipe have diameters of 400mm and 200 mm.
Take the air density as 1.2 kg/m³ and assume inviscid incompressible flow. The change in
pressure (P2-Pj) (in kPa) between sections 1 and 2 is
200mm
! (1) ↑
Air Flow
400mm
(2)
1.5 m³ /s
(A) –1.28
(B) 2.56
(C) -2.13
(D) 1.28
Chapter 5 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 5 - Name four physical quantities that are conserved...Ch. 5 - Define mass and volume flow rates. How are they...Ch. 5 - Does the amount of mass entering a control volume...Ch. 5 - When is the flow through a control volume steady?Ch. 5 - Consider a device with one inlet and one outlet....Ch. 5 - In climates with low night-time temperatures, an...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 - Consider a fully filled tank of semi-circular...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - The minimum fresh air requirement of a residential...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 - A hair dryer is basically a duct of constant...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 - What is mechanical energy? How does it differ from...Ch. 5 - Prob. 22PCh. 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 - Water is pumped from a lake to a storage tank 18 m...Ch. 5 - Prob. 28CPCh. 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 - Prob. 34CPCh. 5 - How is the location of the hydraulic grade line...Ch. 5 - Prob. 36CPCh. 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. 41CPCh. 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 - Prob. 45EPCh. 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 - Prob. 49PCh. 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 - A handheld bicycle pump can be used as an atomizer...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 15 m above the...Ch. 5 - A Pilot-static probe connected to a water...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 - A well-fitting piston with 4 small holes in a...Ch. 5 - A fluid of density and viscosity flows through a...Ch. 5 - What is useful pump head? How is it related to the...Ch. 5 - Consider the steady adiabatic flow of an...Ch. 5 - What is irreversible head loss? How is it related...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 person is filling a knee-high bucket with water...Ch. 5 - A 3-rn-high tank filled with water has a discharge...Ch. 5 - In a hydroelectric power plant, water flows from...Ch. 5 - Reconsider Prob. 5-78E. Determine the flow rate of...Ch. 5 - An oil pump is drawing 25 kW of electric power...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 0.035 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 - 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 5 m...Ch. 5 - Water enters a hydraulic turbine through a...Ch. 5 - The velocity profile for turbulent flow in a...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 - A 78-percent efficient 12-hp pump is pumping water...Ch. 5 - The demand for electric power is usually much...Ch. 5 - When a system is subjected to a linear rigid body...Ch. 5 - A fireboat is to fight fires at coastal areas by...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 water level in a tank is 70 ft above the...Ch. 5 - A pressurized 2-rn-diameter tank of water has a...Ch. 5 - Air flows through a pipe at a rate of 120 L/s. The...Ch. 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 - The air in a 6-m × 5-m × 4-m hospital room is to...Ch. 5 - Underground water is being pumped into a pool...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=8 -m-diameter tank is initially filled with...Ch. 5 - In some applications, elbow-type flow meters like...Ch. 5 - The cylindrical water tank with a valve at the...Ch. 5 - A rigid tank of volume 1.5 m3 initially contains...Ch. 5 - A wind tunnel draws atmospheric air at 20°C and...Ch. 5 - Water flows in a 5-cm-diameter pipe at a velocity...Ch. 5 - Air at 100 kPa and 20°C flows in a 12-cm-diameter...Ch. 5 - A water tank initially contains 140 L of water....Ch. 5 - Water enters a 4-cm-diameter pipe at a velocity of...Ch. 5 - The pressure of water is increased from 100 kPa to...Ch. 5 - A 75-m-high water body that is open to the...Ch. 5 - A pump is used to increase the pressure of water...Ch. 5 - A hydraulic turbine is used to generate power by...Ch. 5 - The motor of a pump consumes 1.05 hp of...Ch. 5 - The efficiency of a hydraulic turbine-generator...Ch. 5 - Which parameter is not related in the Bernoulli...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 - Seawater is to be pumped into a large tank at a...Ch. 5 - Water enters a pump at 350 kPa at a rate of 1...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...
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Intro to Compressible Flows — Lesson 1; Author: Ansys Learning;https://www.youtube.com/watch?v=OgR6j8TzA5Y;License: Standard Youtube License