CHEE 3363 - Fluid Mechanics
Fall, 2009
Assignment 1
Due:
Wednesday, September 2, 2009
Problems from Fox et. al.
Chapter 1:
Problems 1.8, 1.17, 1.25, 1.29
Other problems based on lecture notes
1.
Given a velocity field v
in cylindrical coordinates, i.e.,
k ,
r
r
z
v
v e
v e
v
θ
θ
=
+
+
determine
(
,
)
(
,
)
x
x
r
y
y
r
v
v
v
v
v
v
v
v
θ
θ
=
=
2.
Check the relations in the notes that relate the base unit vectors in spherical coordinates
with the base vectors in rectangular coordinates.
Correct these as necessary and use these
relations to determine
(
,
,
)
(
,
,
)
x
x
r
y
y
r
v
v
v
v
v
v
v
v
v
v
θ
φ
θ
φ
=
=
3.
Given:
2i
3k
2i
3 j
k
i
j
2k
A
B
C
=
+
=
+
+
=
+
−
Find:
(a)
2(
);
check if this is equal to 2(
).
(b)
(magnitude of
)
(c)
(d)
(e)
The unit vector perpendicular to
and
and in the
direction of a screw turning from
D
A
B
B
A
D
D
E
A B
F
A
B
A
C
=
+
+
=
⋅
=
×
to
(f)
The vector projection of
on the plane formed
by
and
A
C
C
A
B

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