Normal Shock Flow Functions

 

 

 

For a flow through a normal shock, with no direction change, area change, or work done, the governing equations are:

 

 

 

Continuity

 

 

Momentum

                                                                       

 

Energy

 

 

 

 

 

 

 

From these identities, relationships can be derived which explain the condition of the flow for both state 1, before the shock, and state 2, after the shock as follows:

 

 

 

 

Mach#, M = sqrt (gRT)

 

 

 

 

 

 

 

 

 

 

 

 

                                    

 

 

 

 

 

From these relationships, the following table has been published for easy reference: