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School of Aerospace Engineering
Oblique Shocks: Angles
• Oblique shock acts like normal u
1t
shock in direction normal to wave 
• Relationship between  (shock angle)
and  (turning angle)
u
(from geometry) 1n  tan 
u1t
u1n
u1
u2t u
2n
-

u2

u2 n
 tan    
u2t
u2 n tan    

(III.6)
u1n
tan 
u2t  u1t
LHS = fn(u1n, T1, p1) and u1n=fn(u1,)
u1n  u1 sin 
• What are high temperature gas effects?
Oblique Shocks -5
Copyright © 2015 by Jerry M. Seitzman. All rights reserved.
AE 6050
School of Aerospace Engineering
Oblique Shocks
• Equilibrium vs. calorically
perfect/non-reacting gas
• Is equil. shock wave closer or
farther from body?
100,000 ft
Fig. 14.7 from Anderson, Hypersonic and High
Temperature Gasdynamics, McGraw-Hill, 1989
Oblique Shocks -6
Copyright © 2015 by Jerry M. Seitzman. All rights reserved.
AE 6050
1
School of Aerospace Engineering
Composition Changes
N2
O2
Ar
• Results shown for
“higher” and “lower”
trajectories
• Which is “higher”
trajectory?
N
NO
O
NO+
Mach number
from Anderson, Hypersonic and High Temperature Gasdynamics, McGraw-Hill, 1989
Oblique Shocks -7
Copyright © 2015 by Jerry M. Seitzman. All rights reserved.
AE 6050
2