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 11, Problem 77CP
Air is flowing past a symmetrical airfoil at zero angle of attack. Is the (a) lift and (b) drag acting on the airfoil zero or nonzero?
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Students have asked these similar questions
100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
spring constant at time t is k(t) = t sin + N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
• Analytically (hand calculations)
Creating Simulink Model
Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph
for the first 15 sec. The graph must be fully formatted by code.
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m² = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
(y₁ = 0)
www
k₁ = 3
Jm₁ = 1
k2=2
www
(Net change in
spring length
=32-31)
(y₂ = 0)
m₂ = 1
32
32
System in
static
equilibrium
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁ (t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Produce an animation of the system for all solutions for the first minute.
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
Chapter 11 Solutions
Fluid Mechanics Fundamentals And Applications
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Ch. 11 - During flow over a given body, the drag force, the...Ch. 11 - During flow over a given slender body such as a...Ch. 11 - What is terminal velocity? How is it determined?Ch. 11 - What is the difference between skin friction drag...Ch. 11 - What is the effect of surface roughness on the...Ch. 11 - Prob. 16CPCh. 11 - What is flow separation? What causes it? What is...Ch. 11 - Prob. 18CPCh. 11 - In general, how does the drag coefficient vary...Ch. 11 - Fairings are attached to the front and back of a...Ch. 11 - Prob. 21PCh. 11 - The resultant of the pressure and wall shear...Ch. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - To reduce the drag coefficient and thus to improve...Ch. 11 - A circular sign has a diameter of 50 cm and is...Ch. 11 - Prob. 28EPCh. 11 - Prob. 29PCh. 11 - At highway speeds, about half of the power...Ch. 11 - A submarine can be treated as an ellipsoid with a...Ch. 11 - Prob. 32EPCh. 11 - Prob. 33PCh. 11 - A 70-kg bicyclist is riding her 1 5-kg bicycle...Ch. 11 - A wind turbine with two or four hollow...Ch. 11 - Prob. 37EPCh. 11 - During steady motion of a vehicle on a level road,...Ch. 11 - Prob. 40PCh. 11 - Prob. 41PCh. 11 - Prob. 42PCh. 11 - Prob. 43PCh. 11 - The drag coefficient of a vehicle increases when...Ch. 11 - To reduce the drag coefficient and thus to improve...Ch. 11 - How is the average friction coefficient determined...Ch. 11 - What fluid property is responsible for the...Ch. 11 - What does the friction coefficient represent in...Ch. 11 - Prob. 49PCh. 11 - The local atmospheric pressure in Denver, Colorado...Ch. 11 - The top surface of the passenger car of a train...Ch. 11 - The forming section of a plastics plant puts out a...Ch. 11 - Prob. 54EPCh. 11 - Prob. 55EPCh. 11 - Air at 25C and 1 atm is flowing over a long flat...Ch. 11 - Prob. 58PCh. 11 - Prob. 59PCh. 11 - Prob. 60PCh. 11 - Why is flow separation in flow over cylinders...Ch. 11 - Prob. 62CPCh. 11 - Prob. 63CPCh. 11 - Prob. 64PCh. 11 - A 1ong 5-cm-diameter steam pipe passes through...Ch. 11 - Consider 0.8-cm-diameter hail that is falling...Ch. 11 - Prob. 67EPCh. 11 - Prob. 68PCh. 11 - Prob. 69PCh. 11 - Prob. 70PCh. 11 - Prob. 71EPCh. 11 - One of the popular demonstrations in science...Ch. 11 - Prob. 73CPCh. 11 - Air is flowing past a symmetrical airfoil at an...Ch. 11 - What is stall? What causes an airfoil to stall?...Ch. 11 - Prob. 76CPCh. 11 - Air is flowing past a symmetrical airfoil at zero...Ch. 11 - Both the lift and the drag of an airfoil increase...Ch. 11 - Prob. 79CPCh. 11 - Prob. 80CPCh. 11 - Prob. 81CPCh. 11 - Prob. 82CPCh. 11 - Prob. 83CPCh. 11 - How do flaps affect the lift and the drag of...Ch. 11 - A small aircraft has a wing area of 35 m2 a lift...Ch. 11 - Consider an aircraft that takes off at 260 km/h...Ch. 11 - Prob. 87PCh. 11 - Prob. 88EPCh. 11 - Prob. 89PCh. 11 - A tennis ball with a mass of 57 and a diameter of...Ch. 11 - Prob. 92EPCh. 11 - Prob. 93PCh. 11 - Consider a light plane that has a total weight of...Ch. 11 - A small airplane has a total mass of 1800 kg and a...Ch. 11 - Prob. 97PCh. 11 - Prob. 98PCh. 11 - A 2-zn-high, 4-zn-wide rectangular advertisement...Ch. 11 - 11-97 A plastic boat whose bottom surface can be...Ch. 11 - Prob. 102PCh. 11 - Prob. 103EPCh. 11 - A commercial airplane has a total mass of 150.000...Ch. 11 - Prob. 105PCh. 11 - A paratrooper and his 8-m-diameter parachute weigh...Ch. 11 - Prob. 107PCh. 11 - Prob. 108PCh. 11 - Prob. 110PCh. 11 - Prob. 112PCh. 11 - Prob. 113PCh. 11 - Prob. 114PCh. 11 - Prob. 117PCh. 11 - Prob. 118PCh. 11 - Prob. 119PCh. 11 - Prob. 120PCh. 11 - Prob. 121PCh. 11 - The region of flow trailing the body where the...Ch. 11 - Prob. 123PCh. 11 - Prob. 124PCh. 11 - Prob. 125PCh. 11 - Prob. 126PCh. 11 - Prob. 127PCh. 11 - Prob. 128PCh. 11 - An airplane has a total mass of 3.000kg and a wing...Ch. 11 - Prob. 130PCh. 11 - Write a report on the history of the reduction of...Ch. 11 - Write a report oil the flips used at the leading...Ch. 11 - Large commercial airplanes cruise at high...Ch. 11 - Many drivers turn off their air conditioners and...
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