Page 264 - 48Fundamentals of Compressible Fluid Mechanics

226 CHAPTER 13. OBLIQUE-SHOCK
Table 13.1: Maximum values of oblique shock (continue) 9

c

4
4

+-" 1+
+ +1+
" 1+ "

)
"

" +-
+=) )
)

9
" "

" =)
+9 +-+
"
)
9

" "-")
+
+9 ),")
+-9
"
"
+-+ 90+)0+
+-9

+=)09
)
+ )09

+ + +9
),
") -9

+

+ + )
"

"
+ "1+1+-

+1
)

+ +1"

"

)
" - )

+
"
" " 9
+9 1"-"

"-9 -9
+

)

" )
-9 )09
+9
90 =)09

"1+ -9

1+ 1"

) 90"

+9 )090"

+9 "

1
+9 " =)
"

"-90 -")

+-+
+
1 )1) 1"

+
"1+1+
+9 9-), =)

)1)
9

+
-"1

"1+1"

"-+
+=)
9 +
)
)

+-+ 90+)

")
),"

+=)

9

"1
+ "

+=) 1+)
"1 )
+-+ "
+=)
"
"
"1"-9-90"

It must be noted that the calculations are for ideal gas model. In some cases
"1"
this assumption might not be sufficient and different analysis is needed. Henderson

"

"1" )

and Menikoff 22 suggested a procedure to calculate the maximum deflection angle
"1"

23
for arbitrary equation of state .
13.4.9 Detached shock
becomes positive, for large deflection angle,
there isn’t a physical solution to oblique shock. Since the flow “sees” the obstacle,
When the mathematical quantity
the only possible reaction is by a normal shock which occurs at some distance
from the body. This shock referred to as the detach shock. The detach shock
22 Henderson and Menikoff ”Triple Shock Entropy Theorem” Journal of Fluid Mechanics 366 (1998)
pp. 179–210.
23 The effect of the equation of state on the maximum and other parameters at this state is unknown
at this moment and there are more works underway.