Fundamentals of Thermal-Fluid Sciences
5th Edition
ISBN: 9780078027680
Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 10, Problem 27P
To determine
The constants a and b of Sutherland correlation and the viscosity of carbon dioxide at
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Y
F1
α
В
X
F2
You and your friends are planning to move the log. The log.
needs to be moved straight in the x-axis direction and it
takes a combined force of 2.9 kN. You (F1) are able to exert
610 N at a = 32°. What magnitude (F2) and direction (B) do
you needs your friends to pull?
Your friends had to pull at:
magnitude in Newton, F2
=
direction in degrees, ẞ =
N
deg
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.
Chapter 10 Solutions
Fundamentals of Thermal-Fluid Sciences
Ch. 10 - Prob. 1PCh. 10 - Define incompressible flow and incompressible...Ch. 10 - Define internal, external, and open-channel...Ch. 10 - What is the no-slip condition? What causes it?
Ch. 10 - What is forced flow? How does it differ from...Ch. 10 - What is a boundary layer? What causes a boundary...Ch. 10 - What is cavitation? What causes it?
Ch. 10 - Does water boil at higher temperatures at higher...Ch. 10 - If the pressure of a substance is increased during...Ch. 10 - What is vapor pressure? How is it related to...
Ch. 10 - The analysis of a propeller that operates in water...Ch. 10 - A pump is used to transport water to a higher...Ch. 10 - In a piping system, the water temperature remains...Ch. 10 - The analysis of a propeller that operates in water...Ch. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - How does the dynamic viscosity of (a) liquids and...Ch. 10 - Consider two identical small glass balls dropped...Ch. 10 - The viscosity of a fluid is to be measured by a...Ch. 10 - Prob. 21PCh. 10 - Consider the flow of a fluid with viscosity μ...Ch. 10 - A thin 30-cm × 30-cm flat plate is pulled at 3 m/s...Ch. 10 - A rotating viscometer consists of two concentric...Ch. 10 - Prob. 25PCh. 10 - The dynamic viscosities of carbon dioxide at 50°C...Ch. 10 - Prob. 28PCh. 10 - For flow over a plate, the variation of velocity...Ch. 10 - In regions far from the entrance, fluid flow...Ch. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - A large plate is pulled at a constant speed of U =...Ch. 10 - Prob. 35PCh. 10 - A small-diameter tube is inserted into a liquid...Ch. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - Is the capillary rise greater in small-or...Ch. 10 - Prob. 40PCh. 10 - Prob. 41PCh. 10 - A 1.2-mm-diameter tube is inserted into an unknown...Ch. 10 - Determine the gage pressure inside a soap bubble...Ch. 10 - A 0.03-in-diameter glass tube is inserted into...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - A capillary tube is immersed vertically in a water...Ch. 10 - Prob. 48PCh. 10 - Prob. 49PCh. 10 - Prob. 50RQCh. 10 - Consider a 55-cm-long journal bearing that is...Ch. 10 - Prob. 52RQCh. 10 - The pressure on the suction side of pumps is...Ch. 10 - Consider laminar flow of a Newtonian fluid of...Ch. 10 - Prob. 56RQCh. 10 - Prob. 57RQCh. 10 - Some rocks or bricks contain small air pockets in...
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