An empirical way to determine shock shapes based on experiments is given by Billig A shape of shock created by a blunt body in x y x y coordinate system is given as a hyperbola Extra left or missing ight Extra left or missing ight Here, the blunt body is taken as sphere cone junction with the shock...

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An empirical way to determine shock shapes based on experiments is given by Billig. A shape of

Question:

An empirical way to determine shock shapes based on experiments is given by Billig. A shape of shock created by a blunt body in $x - y$ coordinate system is given as a hyperbola $Extra \left or missing \right$ . Here, the blunt body is taken as sphere-cone junction with $δ$ : the shock distance, $R$ : the radius of the sphere and $R_{c : the}$ the shock curvature to give

$Extra \left or missing \right$

Here, $β$ is the attached shock angle of the cone alone. Plot th shape of the shock generated by the solid surface shown above for Mach numbers of $M = 4$ and 8.