Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 1, Problem 41P
A man goes to a traditional market to buy a steak for diner. He finds a 12-oz steak (1 Ibm = 16 oz) for $3.15. He then goes to the adjacent international market and finds a 320-g steak of identical quality for $3.30. Which steak is the better buy?
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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 1 Solutions
Fluid Mechanics Fundamentals And Applications
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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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