Module 5 : Hypersonic Boundary Layer theory

Lecture 20 : Governing Equations for Viscous Flows

20.3 Process of Non-dimensionlisation of Governing Equations:-

Continuity Equation:-
We Have,

With non-dimensional parameters

X & Y momentum Equations:-
The process of non dimensionlisation is almost the same for both X & Y momentum equations, therefore we have for X momentum equation;

Rewriting the above Equation with Non Dimensional parameters, we get; 

Now dividing the above equation on both sides by the factor we get term wise