New perspectives in turbulence

An analysis of the mean velocity profile in the intermediate region of wall-bounded turbulence shows that the well-known von Karman-Prandtl logarithmic law of the wall must be jettisoned in favor of a power law. An analogous analysis of the local structure of turbulence shows that the Kolmogorov-Obukhov scaling of the second and third structure functions is exact in the limit of vanishing viscosity while, in the same limit, higher-order moments fail to exist. These results rely on advanced similarity methods and on vanishing-viscosity asymptotics, and are consistent with a near-equilibrium theory of turbulence of which a new version is presented.

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