Applied Fluid Mechanics
7th Edition
ISBN: 9780133414622
Author: UNTENER
Publisher: YUZU
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Textbook Question
Chapter 3, Problem 3.18PP
Problems 3.14-3.33 require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given.
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You are working as an engineer in a bearing systems design company. The flow of
lubricant inside a hydrodynamic bearing (p = 0.001 kg m-1 s-1) can be approximated
as a parallel, steady, two-dimensional, incompressible flow between two parallel plates.
The top plate, representing the moving part of the bearing, travels at a constant speed,
U, while the bottom plate remains stationary (Figure Q1). The plates are separated by
a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By
applying the above approximations to the Navier-Stokes equations and assuming that
end effects can be neglected, the horizontal velocity profile can be shown to be
y = +h
I
2h = 1 cm
x1
y = -h
u(y)
1 dP
2μ dx
-y² + Ay + B
moving plate
stationary plate
U
2
I2
L = 10 cm
Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm,
into the page.
Question 1
You are working as an engineer in a bearing systems design company. The flow of
lubricant inside a hydrodynamic bearing (µ = 0.001 kg m¯¹ s¯¹) can be approximated
as a parallel, steady, two-dimensional, incompressible flow between two parallel plates.
The top plate, representing the moving part of the bearing, travels at a constant speed,
U, while the bottom plate remains stationary (Figure Q1). The plates are separated by
a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By
applying the above approximations to the Navier-Stokes equations and assuming that
end effects can be neglected, the horizontal velocity profile can be shown to be
1 dP
u(y)
=
2μ dx
-y² + Ay + B
y= +h
Ꮖ
2h=1 cm
1
x1
y = −h
moving plate
stationary plate
2
X2
L = 10 cm
Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm,
into the page.
(a) By considering the appropriate boundary conditions, show that the constants take
the following forms:
U
U
1 dP
A =…
Question 2
You are an engineer working in the propulsion team for a supersonic civil transport
aircraft driven by a turbojet engine, where you have oversight of the design for the
engine intake and the exhaust nozzle, indicated in Figure Q2a. The turbojet engine can
operate when provided with air flow in the Mach number range, 0.60 to 0.80. You are
asked to analyse a condition where the aircraft is flying at 472 m/s at an altitude of
14,000 m. For all parts of the question, you can assume that the flow path of air through
the engine has a circular cross section.
(a)
← intake
normal
shock
472 m/s
A B
(b)
50 m/s
H
472 m/s
B
engine
altitude: 14,000 m
exhaust nozzle
E
F
exit to
atmosphere
diameter: DE = 0.30 m
E
F
diameter: DF = 0.66 m
Figure Q2: Propulsion system for a supersonic aircraft.
a) When the aircraft is at an altitude of 14,000 m, use the International Standard
Atmosphere in the Module Data Book to state the local air pressure and tempera-
ture. Thus show that the aircraft speed…
Chapter 3 Solutions
Applied Fluid Mechanics
Ch. 3 - Write the expression for computing the pressure in...Ch. 3 - Define absolute pressureCh. 3 - Define gage pressureCh. 3 - Define atmospheric pressureCh. 3 - Write the expression relating gage pressure,...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...
Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - State whether statements 3.6-3.10 are (or can be)...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - Problems 3.14-3.33 require that you convert the...Ch. 3 - If milk has a specific gravity of 1.08, what is...Ch. 3 - The pressure in an unknown fluid at a depth of 4.0...Ch. 3 - The pressure at the bottom of a tank of propyl...Ch. 3 - When you dive to a depth of 12.50 ft in seawater,...Ch. 3 - A water storage tank is on the roof of a factory...Ch. 3 - An open tank contains ethylene glycol at 25C....Ch. 3 - For the tank of ethylene glycol described in...Ch. 3 - Figure 3.19 shows a diagram of the hydraulic...Ch. 3 - Figure 3.20 shows a clothes washing machine The...Ch. 3 - An airplane is flying at 10.6km altitude. In its...Ch. 3 - For the tank shown in Fig. 3.21, determine the...Ch. 3 - For the tank shown in Fig. 3.21, determine the...Ch. 3 - For the tank shown in Fig. 3.21. determine the...Ch. 3 - For the tank shown in Fig. 3.21 determine the...Ch. 3 - For the tank in Fig. 3.22, compute the depth of...Ch. 3 - For the tank in Fig. 3.22, compute the depth of...Ch. 3 - Figure 3.22 represents an oil storage drum that is...Ch. 3 - A storage tank for sulfuric acid is 1.5m in...Ch. 3 - A storage drum for crude oil ( sg=0.89 ) is 32 ft...Ch. 3 - The greatest known depth in the ocean is...Ch. 3 - Figure 3.23 shows a closed tank that contains...Ch. 3 - Figure 3.24 shows a closed container holding water...Ch. 3 - Determine the pressure at the bottom of the tank...Ch. 3 - Describe a simple J-tube manometerCh. 3 - Describe a differential U-tube manometer.Ch. 3 - Describe a well-type manometer.Ch. 3 - Describe an inclined well-type manometer.Ch. 3 - Describe a compound manometer.Ch. 3 - Water is in the pipe shown in Fig. 3.26Calculate...Ch. 3 - For the differential manometer shown in Fig. 3.27,...Ch. 3 - For the manometer shown in Fig. 3.28, calculate...Ch. 3 - For the manometer shown in Fig. 3.29, calculate...Ch. 3 - For the manometer shown in Fig. 3.30, calculate...Ch. 3 - For the compound manometer shown in Fig.3.31,...Ch. 3 - For the compound differential manometer in...Ch. 3 - Figure 3.33 shows a manometer being used to...Ch. 3 - For the well-type manometer in Fig. 3.34,...Ch. 3 - Figure 3.35 shows an inclined well-type manometer...Ch. 3 - a. Determine the gage pressure at point A in Fig....Ch. 3 - What is the function of a barometer?Ch. 3 - Describe the construction of a barometer.Ch. 3 - Why is mercury a convenient fluid to use in a...Ch. 3 - If water were to be used instead of mercury in a...Ch. 3 - What is the barometric pressure reading in inches...Ch. 3 - What is the barometric pressure reading in...Ch. 3 - Why must a barometric pressure reading be...Ch. 3 - By how much would the barometric pressure reading...Ch. 3 - Denver, Colorado, is called the "Mile-High City"...Ch. 3 - The barometric pressure is reported to be 28.6 in...Ch. 3 - A barometer indicates the atmospheric pressure to...Ch. 3 - What would be the reading of a barometer in inches...Ch. 3 - Prob. 3.85PPCh. 3 - The pressure in a heating duct is measured to be...Ch. 3 - The pressure in a ventilation duct at the inlet to...Ch. 3 - The pressure in an air conditioning duct is...Ch. 3 - The pressure in a compressed natural gas line is...Ch. 3 - The pressure in a vacuum chamber is 68.2 kPa....Ch. 3 - The pressure in a vacuum chamber is 12.6 psig....Ch. 3 - Prob. 3.92PPCh. 3 - Prob. 3.93PPCh. 3 - A passive solar water heater is to be installed on...Ch. 3 - The elevated tank similar to the one shown in Fig....Ch. 3 - Prob. 3.96PPCh. 3 - A concrete form used to pour a basement wall is to...Ch. 3 - An environmental instrumentation package is to be...Ch. 3 - Prob. 3.99PPCh. 3 - Prob. 3.100PPCh. 3 - A meteorologist reports a "high pressure system"...Ch. 3 - What is the pressure, in psig, at the bottom of a...Ch. 3 - If air has a constant specific weight of...
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