Scaling Laws for Fully Developed Turbulent Flow in Pipes

[+] Author and Article Information
G. I. Barenblatt, A. J. Chorin

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

V. M. Prostokishin

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

Appl. Mech. Rev 50(7), 413-429 (Jul 01, 1997) (17 pages) doi:10.1115/1.3101726 History: Online April 20, 2009


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 Kármán-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.

Copyright © 1997 by American Society of Mechanical Engineers
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