New power-law scaling for friction factor of extreme Reynolds number pipe flows

We report a novel power-law scaling for the friction factor of incompressible Newtonian fluid flows at extreme Reynolds numbers: f = Ce/Re2/13. The formula is based on a new phenomenology for coherent structures that dominate the momentum exchange in meso-layer regions and scales with the geometric...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 32; no. 9
Main Authors Anbarlooei, H. R., Cruz, D. O. A., Ramos, F.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.09.2020
Subjects
Computational fluid dynamics
Extreme values
Fluid dynamics
Fluid flow
Friction factor
Incompressible flow
Momentum transfer
Newtonian fluids
Phenomenology
Physics
Pipe flow
Power law
Reynolds number
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Summary:We report a novel power-law scaling for the friction factor of incompressible Newtonian fluid flows at extreme Reynolds numbers: f = Ce/Re2/13. The formula is based on a new phenomenology for coherent structures that dominate the momentum exchange in meso-layer regions and scales with the geometric mean δδν, where δν is the viscous length scale and δ is the pipe radius. Comparisons with the experimental data from the Princeton Superpipe and the Hi-Reff Facility at the National Metrology Institute of Japan show excellent agreement for a large range of Reynolds numbers. This work, along with the recent empirical evidence, suggests a possible change in the mechanism of turbulent momentum transfer for pipe flows in extreme Reynolds numbers.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0020665