Oblique Shock

 

 

The following diagram gives a geometrical representation of what an oblique shock wave looks like when broken down into its velocity components.  The interest lies with the fact that the tangential component of velocity does not change.  This is due to the fact that the tangential component of the velocity stays parallel with the shock front.  Therefore, the velocity does not change.

 

 

 

 

 

 

 

V1 = Inlet Velocity

V2 = Exit velocity after going through oblique shock line

q = shock wave angle

d = diffuser cone angle

 

 

 

 

Because there is no change in tangential velocity, relations between mach numbers, the shock wave angle (q), and the deflection angle (d) can be deduced.  The governing equations for oblique shock are:

 

 

 

 

M = Mach#

 

 

n denotes normal component

 

 

t denotes tangential component

 

 

 

 

 

 

 

 

 

 

 

 

 

 

For the ramjet inlet designer, q may not always be given.  For this reason, trigonometric relations between the right triangles formed above and properties of normal shock yield the following table dependent only upon initial Mach# and diffuser cone angle, d.

 

 

 

 

 

 

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