Falkner–Skan boundary layer

In fluid dynamics, the Falkner–Skan boundary layer (named after V. M. Falkner and Sylvia W. Skan) describes the steady two-dimensional laminar boundary layer that forms on a wedge, i.e. flows in which the plate is not parallel to the flow. It is a generalization of the Blasius boundary layer.

Prandtl's equations known as the boundary layer equations for steady incompressible flow with constant viscosity and density, are

Here the coordinate system is chosen with ${\displaystyle x}$ pointing parallel to the plate in the direction of the flow and the ${\displaystyle y}$ coordinate pointing towards the free stream, ${\displaystyle u}$ and ${\displaystyle v}$ are the ${\displaystyle x}$ and ${\displaystyle y}$ velocity components, ${\displaystyle p}$ is the pressure, ${\displaystyle \rho }$ is the density and ${\displaystyle \nu }$ is the kinematic viscosity.

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