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_______
NAME_____
SOLUTIONS
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Fluid Mechanics
Exam 7, Spring 2007
There are 5 problems on this exam for a total of 101 points
Problem 1:
21 points – no partial credit on any of the parts
Problem 2:
25 points – no partial credit on parts A through C
Problem 3:
20 points
Problem 4:
20 points
Problem 5:
15 points
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Dt
DV
Dt
DA
Problem 1:
LOOK
THREE points each – no partial credit.
LOOK
Consider the vector field
A
and its associated velocity vector field
V
)
ˆ
ˆ
ˆ
)(
(
k
j
i
c
b
a
A
k
V
j
V
i
V
V
z
y
x
ˆ
ˆ
ˆ
Assume that all components of all vectors are all functions of (x,y,z,t).
If it is possible, find the quantities requested below.
If it is not possible, write “not possible” in the box.
Your answers must be written in terms of V
x
, V
y
, V
z
, and a, b, and c.
Your answers must not include the vector
A
or the vector
V
2
V
A
•A
(V•
)A
(V•
)V
scalar
Not possible
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NAME_____
SOLUTIONS
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Page 3 of 9
Problem 2.
A) (5 points, no partial credit)
Write down the Reynold’s Transport Theorem (RTT)
B) (5 points, no partial credit)
Use the RTT to derive conservation of mass. Show what values
you are substituting in order to obtain the conservation of mass equation.
C) (5 points, no partial credit
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This note was uploaded on 09/29/2008 for the course MECH 241 taught by Professor Hartmann during the Spring '08 term at Northwestern.
 Spring '08
 HARTMANN

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