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 10, Problem 1CP
Discuss how nondimensalizsionalization of the Navier-Stokes equation is helpful in obtaining approximate solutions. Give an example.
Expert Solution & Answer
To determine
The advantages of solving Navier Strokes equation using non-dimensionalization.
Explanation of Solution
Non-dimensionalization of Navier-Stokes equation helps in obtaining approximate solutions. This can be explained from below mentioned points:
- Non-dimensionalization helps in reducing the complexity of any equation.
- It helps in removing the dimensions of the all the quantities present.
- The primary function is to make the dimension of the quantities present in Navier-Stokes equation unity.
- It calculates small quantities with respect to a large quantity.
- For example- If the value of Strouhal number is less with respect to Reynolds number, we can ignore the term containing Strouhal number whereas the respective value of Reynolds number must retain.
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The forces F₁ = 590 lb, F₂ = 380 lb, F3 = 240 lb and F
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a
a
a
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A
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BY NC SA
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a
6 ft
b
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Multiple Choice
Circle the best answer to each statement.
1. Which type of surface deviation is controlled by a cy-
lindricity tolerance but not by a circularity tolerance?
A.
B.
C.
Ovality
Taper
Lobing
D. None of the above
2. When verifying a cylindricity tolerance, the inspec-
tion method must be able to collect a set of points and
determine the:
A. Distance between two coaxial cylinders that con-
tain the set of points
B.
Cylinder that circumscribes the set of points
C. Cylinder that inscribes the set of points
D.
Distance between two coaxial circles that contain
the set of points
3. Where Rule #1 applies to a cylindrical regular feature
of size, the tolerance value of a cylindricity tolerance
applied to the feature of size must be
tolerance.
A. Less than
B. Equal to
C. Greater than
D. None of the above
the size
4. Which of the following modifiers may be applied with
a cylindricity tolerance?
A. M
B.
C. ℗
D. Ø
5. Which geometric tolerance can provide an indirect
cylindricity…
The beam AB is attached to the wall in the xz plane by a
fixed support at A. A force of
F = (−129î + 69.0ĵ + 3591) N is applied to the end of
the beam at B. The weight of the beam can be modeled with
a uniform distributed load of intensity w = 85.0 N/m acting in
the negative z direction along its entire length. Find the
support reactions at A.
Z
с
A
b
a
B
F
y
Cc 10
BY NC SA
2016 Eric Davishahl
X
Values for dimensions on the figure are given in the following.
table. Note the figure may not be to scale.
Variable
Value
a
5.60 m
b
5.00 m
C
3.70 m
A
II
=
MA = (
m
2.>
~.>
+
+
k) N
k) N-
Chapter 10 Solutions
Fluid Mechanics Fundamentals And Applications
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