Scaling Laws for Fully Developed Turbulent Flow in Pipes

Author:

Barenblatt G. I.1,Chorin A. J.1,Prostokishin V. M.2

Affiliation:

1. Department of Mathematics and Lawrence Berkeley Laboratory, University of California, Berkeley CA 94720

2. PP Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow 117218 Russia

Abstract

Mathematical and experimental evidence is presented to the effect that the velocity profile in the intermediate region of turbulent shear flow in a pipe obeys a Reynolds-number dependent scaling (power) law rather than the widely believed von Ka´rma´n-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. This review article includes 39 references.

Publisher

ASME International

Subject

Mechanical Engineering

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