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EAS 4101  Aerodynamics – Spring 2011
1/1
4/1/11 9
th
Homework
1.
Consider an air wind tunnel at in which the stagnation conditions are at S.T.P. (as defined in
Anderson).
Assume that this magical wind tunnel permits the flow to be isentropically
expanded to variable Mach numbers.
Calculate and plot the static temperature, static
pressure, static density, and expanded velocity for
12
0
M
.
What assumptions are
needed to derive these equations and when do they breakdown?
2.
Prove the following stagnation relations:
1
2
0
1
1
2
p
M
p
,
1
1
2
0
1
1
2
M
.
In addition to stagnation flow, what other assumptions are
required?
3.
Prove the following normal shock relations:
2
1
2
2
2
1
2
1
2
1
1
M
M
M
,
2
1
2
2
1
2
11
21
2
M
T
M
TM
,
2
2
1
1
2
1
P
M
P
, and
2
1
2
2
1
M
M
.
What assumptions are needed to derive this equation?
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This note was uploaded on 09/05/2011 for the course EAS 4101 taught by Professor Sheplak during the Spring '08 term at University of Florida.
 Spring '08
 Sheplak

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