Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 1, Problem 4CP
Define internal, external, and open-channel flows.
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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 1 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 1 - What is a fluid? How does it differ from a solid?...Ch. 1 - Consider the flow of air over the wings of an...Ch. 1 - Define incompressible flow and in compressible...Ch. 1 - Define internal, external, and open-channel flows.Ch. 1 - How is the Mach number of a flow defined? That...Ch. 1 - When an airplane is flying at a constant speed...Ch. 1 - Consider the flow of air at a Mach number of 0.12....Ch. 1 - What is the no-slip condition? What causes it?Ch. 1 - What is forced flow? How does it differ from...Ch. 1 - What is a boundary layer? What causes a boundary...
Ch. 1 - What is the difference between the classical and...Ch. 1 - What is a steady-flow process?Ch. 1 - Define stress, normal stress, shear stress, and...Ch. 1 - When analyzing the acceleration of gases as they...Ch. 1 - When is a system a closed system, and when is it a...Ch. 1 - You are to understand how a reciprocating air...Ch. 1 - What are system, surroundings, and boundary?Ch. 1 - Explain why the light-year has the dimension of...Ch. 1 - Prob. 19CPCh. 1 - What is the difference between pound-mass and...Ch. 1 - Prob. 21CPCh. 1 - What is the net force acting on a car cruising at...Ch. 1 - A 6-kg plastic tank that has a volume of 0.18 m3...Ch. 1 - What is the weight, in N, of an object with a mass...Ch. 1 - What is the weight of a 1-kg substance in N,...Ch. 1 - Prob. 26PCh. 1 - While solving a problem, a person ends up with the...Ch. 1 - A195-Ibm astronaut took his bathroom scale (a...Ch. 1 - The acceleration of high-speed aircraft sometimes...Ch. 1 - Prob. 30PCh. 1 - The value of the gravitational acceleration g...Ch. 1 - At 45° latitude: the gravitational acceleration as...Ch. 1 - Prob. 34PCh. 1 - The gas tank of a car is filled with a nozzle that...Ch. 1 - A pool of volume V (in m3) is to filled with water...Ch. 1 - Based on unit considerations alone, show that the...Ch. 1 - An airplane flies horizontally at 70m/s . Its...Ch. 1 - If the airplane of Prob. 1-35 weighs 17 lbf,...Ch. 1 - The boom of a fire truck raises a fireman (and his...Ch. 1 - A man goes to a traditional market to buy a steak...Ch. 1 - Water at 20°C from a garden hose fills a 2.0 L...Ch. 1 - A forklift raises a 90.5 kg crate 1.80 m. (a)...Ch. 1 - What is the importance of modeling in engineering?...Ch. 1 - What is the difference between the analytical and...Ch. 1 - Prob. 46CPCh. 1 - What is the difference between precision and...Ch. 1 - How do the differential equations in the study of...Ch. 1 - What is the value of the engineering software...Ch. 1 - The reactive force developed by a jet to push an...Ch. 1 - The weight of bodies may change somewhat from one...Ch. 1 - An important design consideration in two-phase...Ch. 1 - Consider the flow of air through a wind turbine...Ch. 1 - Prob. 60PCh. 1 - The speed of an aircraft is given to be 260 m/s in...Ch. 1 - Prob. 62PCh. 1 - If mass, heat, and work are not allowed to cross...Ch. 1 - The weight of a 10-kg mass at sea level is (a)...Ch. 1 - The weight of a 1 -Ibm mass is (a) 1Ibmft/s2 (b)...Ch. 1 - Prob. 66PCh. 1 - Prob. 67PCh. 1 - A hydroelectric power plant operates at its rated...Ch. 1 - Write an essay on the various mass- and...Ch. 1 - Search the Internet to find out how to properly...
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