Applied Fluid Mechanics
7th Edition
ISBN: 9780133414622
Author: UNTENER
Publisher: YUZU
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Chapter 7, Problem 7.24PP
Water flows through the turbine shown in Fig. 7.28, at a rate of
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Students have asked these similar questions
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 7 Solutions
Applied Fluid Mechanics
Ch. 7 - A horizontal pipe carries oil with a specific...Ch. 7 - Water at 40 F is flowing downward through the...Ch. 7 - Find the volume flow rate of water exiting from...Ch. 7 - A long DN 150 Schedule 40 steel pipe discharges...Ch. 7 - Figure 7.14 shows a setup to determine the energy...Ch. 7 - A test setup to determine the energy loss as water...Ch. 7 - The setup shown in Fig. 7.16 is being used to...Ch. 7 - A pump is being used to transfer water from an...Ch. 7 - In Problem 7.815 (Fig. 7.17), if the left-hand...Ch. 7 - A commercially available sump pump is capable of...
Ch. 7 - A submersible deep-well pump delivers 745 gal/h of...Ch. 7 - In a pump test the suction pressure at the pump...Ch. 7 - The pump shown in Fig. 7.19 is delivering...Ch. 7 - The pump in Fig. 7.20 delivers water from the...Ch. 7 - Repeat Problem 7.14, but assume that the level of...Ch. 7 - Figure 7.21 shows a pump delivering 840L/min of...Ch. 7 - Figure 7.22 shows a submersible pump being used to...Ch. 7 - Figure 7.23 shows a small pump in an automatic...Ch. 7 - The water being pumped in the system shown in Fig....Ch. 7 - A manufacturer's rating for a gear pump states...Ch. 7 - The specifications for an automobile fuel pump...Ch. 7 - Figure 7.26 shows the arrangement of a circuit for...Ch. 7 - Calculate the power delivered to the hydraulic...Ch. 7 - Water flows through the turbine shown in Fig....Ch. 7 - Calculate the power delivered by the oil to the...Ch. 7 - What hp must the pump shown in Fig. 7.30 deliver...Ch. 7 - If the pump in Problem 7.26 operates with an...Ch. 7 - The system shown in Fig. 7.31 delivers 600 L/min...Ch. 7 - Kerosene (sg = 0.823 ) flows at 0.060m3/s in the...Ch. 7 - Water at 60 F flows from a large reservoir through...Ch. 7 - Figure 7.34 shows a portion of a fire protection...Ch. 7 - For the conditions of Problem 7.31 and if we...Ch. 7 - In Fig. 7.35 kerosene at 25 F is flowing at 500...Ch. 7 - For the system shown in Fig. 7.35 and analyzed in...Ch. 7 - Compute the power removed from the fluid by the...Ch. 7 - Compute the pressure at point 2 at the pump inlet.Ch. 7 - Compute the pressure at point 3 at the pump...Ch. 7 - Compute the pressure at point 4 at the press...Ch. 7 - Compute the pressure at point 5 at the press...Ch. 7 - Evaluate the suitability of the sizes for the...Ch. 7 - The portable, pressurized fuel can shown in Fig....Ch. 7 - Professor Crocker is building a cabin on a...Ch. 7 - If Professor Crocker's pump, described in Problem...Ch. 7 - The test setup in Fig. 7.39 measures the pressure...Ch. 7 - If the fluid motor in Problem 7.44 has an...Ch. 7 - A village with a need for a simple irrigation...Ch. 7 - As a member of a development team for a new jet...Ch. 7 - A fire truck utilizes its engine to drive a pump...Ch. 7 - A home has a sump pump to handle ground water from...Ch. 7 - In Problem 6.107 an initial calculation was made...Ch. 7 - A creek runs through a certain part of a campus...Ch. 7 - A hot tub is to have 40 outlets that are each 8 mm...Ch. 7 - A large chipper/shredder is to be designed for use...
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