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8 Oblique-Shock










The Rankine-Hugoniot relations are the same as the relationship for the normal shock



where
and


$\displaystyle x_2 = - {1 \over 3} a_1 -$   $\displaystyle \mbox{$\frac{1}{2}$}$$\displaystyle (S +T ) +$   $\displaystyle \mbox{$\frac{1}{2}$}$$\displaystyle i \sqrt{3} ( S-T)$ (94)

and
$\displaystyle x_3 = - {1 \over 3} a_1 -$   $\displaystyle \mbox{$\frac{1}{2}$}$$\displaystyle (S +T ) -$   $\displaystyle \mbox{$\frac{1}{2}$}$$\displaystyle i \sqrt{3} ( S-T)$ (95)

Where

and where the definition of the $ D$ is


and where the definitions of $ Q$ and $ R$ are
and


A simplified case of the Maximum Deflection Mach Number's equation for large Mach number becomes




The density ratio can be expressed as


The ratio of the total pressure can be expressed as



Subsections
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