Applied Fluid Mechanics: Global Edition
7th Edition
ISBN: 9781292019611
Author: Robert Mott
Publisher: Pearson Higher Education
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Chapter 1, Problem 1.82PP
Carbon dioxide has a density of
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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
U
y = +h
У
2h = 1 cm
1
x1
y=-h
u(y)
=
1 dP
2μ dx
-y² + Ay + B
moving plate
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U
stationary plate
2
I2
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:
A =
U
2h
U
1 dP…
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)
normal
shock
472 m/s
A B
(b)
intake
engine
altitude: 14,000 m
D
exhaust nozzle→
exit to
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472 m/s
50 m/s
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EX
diameter: DF = 0.66 m
Figure Q2: Propulsion system for a supersonic aircraft.
F
a) When the aircraft is at an altitude of 14,000 m, use the International Standard
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given below:
A rectangular wing with wing twist yields the spanwise circulation distribution
kbV1
roy) = kbv. (2)
where k is a constant, b is the span length and V. is the free-stream velocity. The wing has an
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attack (a=0) is 0.
a. Derive expressions for the downwash (w) and induced angle of attack a distributions
along the span.
b. Derive an expression for the induced drag coefficient.
c. Calculate the span efficiency factor.
d. Calculate the value of k if the wing has a washout and the difference between the
geometric angles of attack of the root (y = 0) and the tip (y = tb/2) is:
a(y = 0) a(y = ±b/2) = /18
Hint: Use the coordinate transformation y = cos (0)
Chapter 1 Solutions
Applied Fluid Mechanics: Global Edition
Ch. 1 - 1.1 Convert 1250 millimeters to meters.Ch. 1 - Convert 1600 square millimeters to square metersCh. 1 - Convert 3.65x103 cubic millimeters to cubic metersCh. 1 - Convert 2.05 square meters to square millimetersCh. 1 - Convert 0.391 cubic meters to cubic millimetersCh. 1 - Convert 55.0 gallons to cubic metersCh. 1 - An automobile is moving at 80 kilometers per hour,...Ch. 1 - Convert a length of 25.3 feet to metersCh. 1 - Convert a distance of 1.36 miles to meters.Ch. 1 - Convert a length of 3.65 inches to millimeters.
Ch. 1 - Convert a distance of 2580 feet to meters.Ch. 1 - Convert a volume of 480 cubic feet to cubic...Ch. 1 - Convert a volume of 7390 cubic centimeters to...Ch. 1 - Convert a volume of 6.35 liters to cubic nneters.Ch. 1 - Convert 6.0 feet per second to meters per secondCh. 1 - Convert 2500 cubic feet per minute to cubic meters...Ch. 1 - A car travels 0.50 km in 10.6 s. Calculate its...Ch. 1 - In an attempt at a land speed record, a car...Ch. 1 - A car travels 1000 ft in 14 s. Calculate its...Ch. 1 - In an attempt at a land speed record, a car...Ch. 1 - A body starting from rest with constant...Ch. 1 - A body starting from rest with constant...Ch. 1 - A body starting from rest with constant...Ch. 1 - A body starting from rest with constant...Ch. 1 - The formula for kinetic energy is KE=mv2, where m...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2 where m...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is where m = mass...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - The formula for kinetic energy is KE=12mv2, where...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - One measure of a baseball pitcher's performance is...Ch. 1 - Compute the pressure change required to cause a...Ch. 1 - Compute the pressure change required to cause a...Ch. 1 - Compute the pressure change required to cause a...Ch. 1 - For the conditions described in Problem 1.59...Ch. 1 - A certain hydraulic system operates at 3000 psi....Ch. 1 - A certain hydraulic system operates at 20.0 MPa....Ch. 1 - A measure of the stiffness of a linear actuator...Ch. 1 - 1.64 Repeat Problem 1.63 but change the length of...Ch. 1 - Repeat Problem 1.6319 but change the cylinder...Ch. 1 - Using the results of Problems 1.63-1.65, generate...Ch. 1 - Calculate the mass of a can of oil if it weighs...Ch. 1 - Calculate the mass of a tank of gasoline if it...Ch. 1 - '1.69 Calculate the weight of 1m3 of kerosene if...Ch. 1 - Calculate the weight of a jar of castor oil if it...Ch. 1 - Calculate the mass of 1 gal of oil if it weighs...Ch. 1 - Calculate the mass of 1ft3 of gasoline if it...Ch. 1 - Calculate the weight of 1ft3 of kerosene if it has...Ch. 1 - Calculate the weight of 1 gal of water if it has a...Ch. 1 - Assume that a man weighs 160 lb (force) Compute...Ch. 1 - In the United States, hamburger and other meats...Ch. 1 - The metric ton is 1000 kg (mass). Compute the...Ch. 1 - Convert the force found in Problem 1.77 to lb.Ch. 1 - Determine your weight in lb and N and your mass in...Ch. 1 - The specific gravity of benzene is 0.876....Ch. 1 - Air at 16 C and standard atmospheric pressure has...Ch. 1 - Carbon dioxide has a density of 1.964kg/m3 at 0 C....Ch. 1 - A certain medium lubricating oil has a specific...Ch. 1 - At 100 C mercury has a specific weight of...Ch. 1 - A cylindrical can 150 mm in diameter is filled to...Ch. 1 - Glycerin has a specific gravity of 1.258. How much...Ch. 1 - The fuel tank of an automobile holds 0.095m3. 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