A symmetry approach produces a unified analytical scaling law for mixing length in equilibrium APG turbulent boundary layers, with invariant Karman constant, self-consistent layer thicknesses, and one finite-Re correction parameter.
(19) Since uτ is no longer an appropriate velocity scale, we change to using up ≡ ( ν ρ ∂P ∂x )1/ 3 as the velocity scale and yp = ν/u p as the length scale [15, 49]
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Revisiting the mixing length scaling in pressure-gradient turbulent boundary layers via a symmetry approach
A symmetry approach produces a unified analytical scaling law for mixing length in equilibrium APG turbulent boundary layers, with invariant Karman constant, self-consistent layer thicknesses, and one finite-Re correction parameter.