AAWSAP DIRD, Detection and High-Resolution Tracking of Vehicles at Hypersonic Velocities, November 2010

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Appendix A: MathCad Program Used To Estimate Hypersonic
Vehicle Surface Temperature
Modeling of the Thermodynamic Properties
Of Airflow about Hypersonic Vehicles
I Purpose: Compute the properties across the bow shock of a hypersonic vehicle moving
through the earth's atmosphere.
A. Define the Aircraft Velocity
.- 3300· .fi>H
,Wv
Vehicle Velocity.
H := 10-km
Vehicle Altitute.
NW
Note that the Karman Level corresponds to 100 km altitude
where the atmosphere essentially ends.
8 . Compute the Mach number for the Vehicle
Tatm(H) = 222.986K
a = 2993:16~
s
C. Compute the Stagnation Properties Upstream of the Bow Shock
I I = -21.986K
I ot = l-~'06
103K
P1 := Pa1In(H)
Pt = 0.l6t -a1m
1
Pol :=p1 {t +
1= ·­ i2) i - l
Pot = l.26.9 ·atrn
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