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):

P2 _ (7+

or rearranged

(6.45) (6.45a)

(6.46)

 

Pi 2 + (7 – 1 )M

 

For air 7 = 1.4 and

 

P2

Pi

 

5 + Ml

 

Reversed to give the ratio in terms of the exit Mach number

Pi _ (7+ l)A/f

 

P2 2+ (7-1 )Щ

 

Density jump across the normal shock

For air

Подпись: (6.46a)Подпись:pi _ 6M

~Pi = 5 + M

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