Boundary Layer Coordinates
- The boundary layer equations derived are in
- The Velocity components u and v represent x and y direction velocities respectively.
- For objects with small curvature, these equations can be used with -
- x coordinate : streamwise direction
- y coordinate : normal component
- They are called Boundary Layer Coordinates.
Application of Boundary Layer Theory
- The Boundary-Layer Theory is not valid beyond the point of separation.
- At the point of separation, boundary layer thickness becomes quite large for the thin layer approximation to be valid.
- It is important to note that boundary layer theory can be used to locate the point of seperation itself.
- In applying the boundary layer theory although U is the free-stream velocity at the outer edge of the boundary layer, it is interpreted as the fluid velocity at the wall calculated from inviscid flow considerations ( known as Potential Wall Velocity)
- Mathematically, application of the boundary - layer theory converts the character of governing Navier-Stroke equations from elliptic to parabolic
- This allows the marching in flow direction, as the solution at any location is independent of the conditions farther downstream.