DeGarmo's Materials and Processes in Manufacturing
12th Edition
ISBN: 9781118987674
Author: J. T. Black, Ronald A. Kohser
Publisher: WILEY
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Chapter 5, Problem 81RQ
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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 5 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 5 - What is heat treatment?Ch. 5 - What types of properties can be altered through...Ch. 5 - Why should people performing hot forming or...Ch. 5 - What is the broad goal of the processing heat...Ch. 5 - Why might equilibrium phase diagrams be useful...Ch. 5 - What are the A1, A3, and Acm lines?Ch. 5 - What are some possible objectives of annealing...Ch. 5 - Why might it be important to include a preceding...Ch. 5 - Describe the cooling conditions of a full anneal.Ch. 5 - Why are the hypereutectoid steels not...
Ch. 5 - Although full anneals often produce the softest...Ch. 5 - What is the major process difference between full...Ch. 5 - Although normalizing is less expensive than a full...Ch. 5 - Prob. 14RQCh. 5 - What types of steel would be candidates for a...Ch. 5 - How might steel composition influence the...Ch. 5 - Other than increasing strength, for what three...Ch. 5 - What are the six major mechanisms that can be used...Ch. 5 - Prob. 19RQCh. 5 - What is required for a metal to be a candidate for...Ch. 5 - What are the three steps in an age�hardening...Ch. 5 - What is the difference between a coherent...Ch. 5 - What is overaging? Why does strength decrease?Ch. 5 - Describe the various aging responses (maximum...Ch. 5 - What is the difference between natural and...Ch. 5 - Why might naturally aging aluminum rivets be...Ch. 5 - Why is it important not to expose precipitation...Ch. 5 - Why is it more difficult to understand the...Ch. 5 - What types of heating and cooling conditions are...Ch. 5 - What are the stable equilibrium phases for steels...Ch. 5 - What are some nonequilibrium structures that...Ch. 5 - Prob. 32RQCh. 5 - What is the major factor that influences the...Ch. 5 - For a given steel, describe the relative strengths...Ch. 5 - Most structure changes proceed to completion over...Ch. 5 - What is retained austenite, and why is it an...Ch. 5 - What types of steels are more prone to retained...Ch. 5 - Why are martensitic structures usually tempered...Ch. 5 - Why does tempering offer a spectrum of possible...Ch. 5 - In what ways is the quench�and�temper heat...Ch. 5 - What is a C�C�T diagram? Why is it more useful...Ch. 5 - What is the critical cooling rate, and how is it...Ch. 5 - What two features combine to determine the...Ch. 5 - What conditions are used to standardize the quench...Ch. 5 - How do the various locations of a Jominy test...Ch. 5 - How do the data collected from a Jominy test...Ch. 5 - What is the assumption that allows the data from a...Ch. 5 - What is hardenability? How is it different from...Ch. 5 - What capabilities are provided by...Ch. 5 - When selecting a steel for an application, what...Ch. 5 - What are the three stages of liquid quenching?Ch. 5 - What are some of the major advantages and...Ch. 5 - Why does brine provide faster cooling than water?Ch. 5 - Why is an oil quench less likely to produce quench...Ch. 5 - What are some of the attractive qualities of a...Ch. 5 - Prob. 56RQCh. 5 - Prob. 57RQCh. 5 - Prob. 58RQCh. 5 - Prob. 59RQCh. 5 - How might the thermally induced residual stresses...Ch. 5 - Prob. 61RQCh. 5 - Prob. 62RQCh. 5 - Prob. 63RQCh. 5 - What is thermomechanical processing?Ch. 5 - Prob. 65RQCh. 5 - Prob. 66RQCh. 5 - Prob. 67RQCh. 5 - Prob. 68RQCh. 5 - Prob. 69RQCh. 5 - Prob. 70RQCh. 5 - Prob. 71RQCh. 5 - Prob. 72RQCh. 5 - Prob. 73RQCh. 5 - Why does a carburized part have to be further...Ch. 5 - Prob. 75RQCh. 5 - Prob. 76RQCh. 5 - Prob. 77RQCh. 5 - Describe the distinguishing features of a box...Ch. 5 - What are some possible functions of artificial...Ch. 5 - Prob. 80RQCh. 5 - Prob. 81RQCh. 5 - Prob. 82RQCh. 5 - What are some current goals of the heat treatment...Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - What problems might be expected if the material on...Ch. 5 - Describe some heat treatment processes or...Ch. 5 - Prob. 3CSCh. 5 - Prob. 4CSCh. 5 - Prob. 5CSCh. 5 - Prob. 6CSCh. 5 - Prob. 7CSCh. 5 - Prob. 8CS
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