Mangler Transformation
Mangler transformation, also known as Mangler-Stepanov transformation (Stepanov 1947, Mangler 1948, Schlichting 1955), reduces the axisymmetric boundary layer equations to the plane boundary layer equations.
The transformation transforms the equations of axisymmetric boundary layer with external velocity in terms of original variables
into the equations of plane boundary layer with external velocity
in terms of the new variables
. The transformation is given by the formulas