20.2 Non Dimensional Form of Governing Equations
The non dimensional form of Navier-Stokes equations can be obtained as follows. Here we have considered a two dimensional steady flow and ignored the normal stresses τxx and τyy. Reference variables of the flow can be used for non-dimensionalization.
Non Dimensional Variables:
Therefore the Non Dimensional Equations are given as:
Non Dimensional Continuity Equation:
Non Dimensional X Momentum Equation:
Since, u>>v, we can assume that
So the momentum equations become
Non Dimensional Y Momentum Equation:
Non Dimensional Energy Equation:
