@roulishollandais
I'm not sure I know how to reply to your question roulis. Could you expand a little what you mean by
"put the turbulence in the unhomogeneous "streamline"
please.
If I simply said that I see the flow inside the boundary layer as essentially wholly turbulent (since transition on practical wings is never aft of the slat TE) and that inside this turbulence the flow is chaotic (strange attractor/fractal or whatever description) so that the concept of streamlines is irrelevant, would that meet your needs? Streamline flow then is limited to that region outside the boundary layer (however you define that)