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Turbulent pipe flow response to a step change in surface roughness

Published online by Cambridge University Press:  15 October 2020

T. Van Buren Open the ORCID record for T. Van Buren [Opens in a new window] ,
D. Floryan Open the ORCID record for D. Floryan [Opens in a new window] ,
L. Ding ,
L. H. O. Hellström Open the ORCID record for L. H. O. Hellström [Opens in a new window]  and
A. J. Smits Open the ORCID record for A. J. Smits [Opens in a new window]
T. Van Buren*
Affiliation:
Department of Mechanical Engineering, University of Delaware, Newark, DE19716, USA Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ18954, USA
D. Floryan
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ18954, USA
L. Ding
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ18954, USA
L. H. O. Hellström
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ18954, USA
A. J. Smits
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ18954, USA
*
†Email address for correspondence: [email protected]
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Abstract

The long-lasting response of turbulent pipe flow to a step change in surface roughness from rough to smooth is examined. Global flow characteristics such as the pressure gradient, skin friction and mean streamwise momentum attain their equilibrium values within approximately 20 radii downstream of the step change, but the turbulent stresses are exceedingly slow to adjust to the new wall condition (${>}120\ \textrm {radii}$), and they first fall below their equilibrium values before seemingly asymptoting to the full recovery state. To help understand this response, we develop a model that captures both the long development length and the second-order response of the turbulence, and we use a scale decomposition to connect the large-scale motions to the response behaviour.

JFM classification

Turbulent Flows: Turbulence modelling Turbulent Flows: Turbulence theory
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 904 , 10 December 2020 , A38
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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