Page 318 - Aerodynamics for Engineering Students

300 Aerodynamics for Engineering Students

or

P1-7@-1 for air (6.44a)
- -
P2 6

6.4.4 Density jump across the normal shock
Using the previous results, substituting for p2/p1 from Eqn (6.43) in the Rankine-
Hugoniot relations Eqn (6.42):

-=

or rearranged

(6.45)

For air -/ = 1.4 and

p2 6M: (6.45a)
-=-
P1 5+M?
Reversed to give the ratio in terms of the exit Mach number
- - (Y+ w; (6.46)
-
P1
p2 2+ (7- 1)M;
For air

(6.46a)

6.4.5 Temperature rise across the normal shock
Directly from the equation of state and Eqns (6.43) and (6.45):

(6.47)

For air

(6.47a)