Navier-Stokes: formal definition/intuition of "mean flow"?

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In (computational) fluid dynamics there is a notion of mean flow that I don't quite understand:

E.g. in the Wikipedia entry for turbulence modeling it says:

Averaging the equations gives the Reynolds-averaged Navier–Stokes (RANS) equations, which govern the mean flow.

What is this mean flow?

Is it precisely the kind of flow you simulate by Reynolds-averaging? That is after all a type of "mean". Is there an abstract notion of mean flow in some simplification of the Navier-Stokes equations?

Is there either of those two: some very useful intuition behind this idea of mean flow and or a clear definition?