Module 4 : Approximate and exact methods for hypersonic inviscid flows

Lecture 16 : The Hypersonic Equivalence Principle

16.1 The Hypersonic Equivalence Principle

Consider the Euler Equations for two-dimensional unsteady flow in y-z plane.Here x-axis is the direction of freestream velocity. Therefore the governing equations in y-z plane perpendicular to the freestream velocity can be written as,

16.1


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16.4

Let us non-dimensionalize using following reference variables,

Where, V and ρ can be treated as reference quantities.

Therefore the non-dimensional form of governing equations are,

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16.6

 

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16.8