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Due:
In class, Friday
September 28, 2007
Name
For instructor or TA use only:
Problem
Score
Points
1
15
2
10
3
10
4
15
5
10
6
40
ME 521
Fall Semester, 2007
Homework Set # 4
Professor J. M. Cimbala
Total:
100
1
. (15 pts)
Text problem 2.1
.
2
.
(10 pts)
In class, Cauchy’s equation was derived for deformation of any medium, fluid or solid. We then applied Stokes’
assumptions to generate the famous NavierStokes equation. Based on this derivation, it would seem that the final equation
might be more properly called the
CauchyStokes equation
. Look up some references on the history of this equation, and
explain the role of Navier. Provide a brief discussion of the history of the NavierStokes equation, along with a list of
reference(s) used.
3
. (10 pts)
Text problem 4.1
.
4
.
(15 pts)
Consider a small fluid element in the
x
1

x
2
plane, as sketched to the
right.
(
a
)
Use Stokes theorem (see Chapter 2) to find the
x
3
component of vorticity.
(
b
)
Read Section 3.8 in Kundu’s text. As the fluid element above shrinks to zero
size, does the secondtolast sentence of Section 3.8 hold?
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This note was uploaded on 07/23/2008 for the course ME 521 taught by Professor Cimbala during the Fall '07 term at Pennsylvania State University, University Park.
 Fall '07
 CIMBALA

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