Scaling Laws for Fully Developed Turbulent Flow in Pipes 1

Mathematical and experimental evidence is presented to the effect that the velocity proole in the intermediate region of turbulent shear ow in a pipe obeys a Reynolds-number dependent scaling (power) law rather the widely believed von KK armm an-Prandtl universal logarithmic law. In particular, it is shown that similarity theory and the Izakson-Millikan-von Mises overlap argument support the scaling law at least as much as they support the logarithmic law, while the experimental evidence overwhelmingly supports the scaling law.

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