Due:
In class, Friday
November 30, 2007
Name
For instructor or TA use only:
Problem
Score
Points
1
15
2
30
3
25
4
30
ME 521
Fall Semester, 2007
Homework Set # 10
Professor J. M. Cimbala
Total:
100
1
.
(15 pts)
Text problem 6.3
. The reason this works is because of superposition. You plot streamlines for two potential
flows on the same plot, and then sum the two stream functions to generate the superposed stream function. Connect points
of constant superposed stream function to generate the superposed streamlines. Do three parts:
(
a
)
Sketch the superposed streamlines as discussed in the text problem. Highlight the
dividing streamline
.
(
b
)
Find the distance from the origin along the
y
axis where the dividing streamline crosses the
y
axis. Do this both
graphically (measure it from your graph of Part a) and analytically (use exact equations).
(
c
)
Verify that the value of the stream function along the dividing streamline is
m
/2, as in Equation (6.33).
2
.
(30 pts)
A small airplane has a total mass of 500.0 kg. It has an optimized elliptical wing with a span of 6.00 m, and it is
flying horizontally at 80.0 m/s in air with density 1.10 kg/m
3
.
Note
: Use
g
= 9.81 m/s
2
for consistency.
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 Fall '07
 CIMBALA
 Kinetic Energy, Aerodynamics, Wing, Lift, Wing design, finitespan 2D wing

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