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Constraints on the wall layer in turbulent pipe flow

Published online by Cambridge University Press:  01 July 2022

G.G. Rooney Open the ORCID record for G.G. Rooney [Opens in a new window]
G.G. Rooney*
Affiliation:
Met Office, FitzRoy Road, Exeter EX1 3PB, UK School of Mathematics, University of Leeds, Leeds LS2 9JT, UK
*
†Email address for correspondence: [email protected]
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Abstract

Dynamical constraints on the wall layer in turbulent pipe flow imply both a narrow peak in the streamwise component of the turbulent Lamb vector near the wall, and a scaling of the wall layer depth proportional to the depth of the viscous sublayer. An approximation of the Lamb vector distribution, which equates to the gradient of Reynolds stress, is proposed. Hence the equation for streamwise mean flow may be integrated to obtain an expression for the velocity profile in the wall layer.

JFM classification

Turbulent Flows: Pipe flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 944 , 10 August 2022 , A32
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Copyright
© Crown Copyright - Met Office, 2022. Published by Cambridge University Press

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References

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