Page 278 - 48Fundamentals of Compressible Fluid Mechanics

240 CHAPTER 13. OBLIQUE-SHOCK

C δ 2
stream line θ 2 D
1 4
slip plane
B
0 3 φ
2 θ 1 F
stream line
A δ 1

Illustration for example 13.13
For upstream Mach number of 5 and deflection angle of and 9 , calcu-
late the the pressure at zones 3 and 4 based on the assumption that the slip plan
is half of difference between the two deflection angles. Based on these calcula-
tions, explain whether the slip angle is larger or smaller the the difference of the
deflection angle.

SOLUTION
The first two zones immediately after are computed using the same techniques
that were developed and discussed earlier.
and Mach number =5.

For the first direction is for 9

c 7 8

4
4
4

1"
9
9
And the addition conditions are 1+ ) 1" ) 9 7 8 +1" )

c 7 5 7 8

4
4

7 8
9
9
"=),"
" 1
)

For the second direction is for 9 and Mach number =5. +1" )

5
7

c 7 8

4
4
4
9
+
+

And the additional conditions are + 1+ " 9 7 8

+ 9 c +-"1+ +-+ 5 5 9 7 8 7 8 +

4
4

7
9

7