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Simultaneous skin friction and velocity measurements in high Reynolds number pipe and boundary layer flows

Simultaneous skin friction and velocity measurements in high Reynolds number pipe and boundary layer flows
Simultaneous skin friction and velocity measurements in high Reynolds number pipe and boundary layer flows

Streamwise velocity and wall-shear stress are acquired simultaneously with a hot-wire and an array of azimuthal/spanwise-spaced skin friction sensors in large-scale pipe and boundary layer flow facilities at high Reynolds numbers. These allow for a correlation analysis on a per-scale basis between the velocity and reference skin friction signals to reveal which velocity-based turbulent motions are stochastically coherent with turbulent skin friction. In the logarithmic region, the wall-attached structures in both the pipe and boundary layers show evidence of self-similarity, and the range of scales over which the self-similarity is observed decreases with an increasing azimuthal/spanwise offset between the velocity and the reference skin friction signals. The present empirical observations support the existence of a self-similar range of wall-attached turbulence, which in turn are used to extend the model of Baars et al. (J. Fluid Mech., vol. 823, p. R2) to include the azimuthal/spanwise trends. Furthermore, the region where the self-similarity is observed correspond with the wall height where the mean momentum equation formally admits a self-similar invariant form, and simultaneously where the mean and variance profiles of the streamwise velocity exhibit logarithmic dependence. The experimental observations suggest that the self-similar wall-attached structures follow an aspect ratio of in the streamwise, spanwise and wall-normal directions, respectively.

boundary layer structure, pipe flow boundary layer, turbulent boundary layers
0022-1120
377-400
Baidya, R.
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Baars, W. J.
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Zimmerman, S.
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Samie, M.
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Hearst, R. J.
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Dogan, E.
deb7b97e-7985-4d5b-98a7-d68852713207
Mascotelli, L.
77932667-3d25-4628-a91a-06e1db10fc43
Zheng, X.
20485685-2e2f-4b4d-9c6c-e6083bc56458
Bellani, G.
49a670b3-4ead-465e-b9b0-a0855a9aa675
Talamelli, A.
e500644c-4a0c-44e4-8563-409f9a6a4fef
Ganapathisubramani, B.
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Hutchins, N.
28046228-1b0a-45ab-97ff-dfec82afe47d
Marusic, I.
59f585da-d4ab-4dbf-8a74-421f5fb90e6a
Klewicki, J.
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Monty, J. P.
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Baidya, R.
70ad4296-d11d-4b17-a40d-58fb038b0705
Baars, W. J.
43cc23a4-3e8f-47e7-b447-a93962c9987e
Zimmerman, S.
df5ea839-3bf1-4d8b-91d3-b4abaa5ed5be
Samie, M.
9a0309ef-0fe8-4ff7-88bb-ba8d218ae2c4
Hearst, R. J.
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Dogan, E.
deb7b97e-7985-4d5b-98a7-d68852713207
Mascotelli, L.
77932667-3d25-4628-a91a-06e1db10fc43
Zheng, X.
20485685-2e2f-4b4d-9c6c-e6083bc56458
Bellani, G.
49a670b3-4ead-465e-b9b0-a0855a9aa675
Talamelli, A.
e500644c-4a0c-44e4-8563-409f9a6a4fef
Ganapathisubramani, B.
5e69099f-2f39-4fdd-8a85-3ac906827052
Hutchins, N.
28046228-1b0a-45ab-97ff-dfec82afe47d
Marusic, I.
59f585da-d4ab-4dbf-8a74-421f5fb90e6a
Klewicki, J.
23e3e0d9-fc56-4494-a7b9-6bc02191f636
Monty, J. P.
b73588eb-5749-46f9-8efb-b2e52924c27e

Baidya, R., Baars, W. J., Zimmerman, S., Samie, M., Hearst, R. J., Dogan, E., Mascotelli, L., Zheng, X., Bellani, G., Talamelli, A., Ganapathisubramani, B., Hutchins, N., Marusic, I., Klewicki, J. and Monty, J. P. (2019) Simultaneous skin friction and velocity measurements in high Reynolds number pipe and boundary layer flows. Journal of Fluid Mechanics, 871, 377-400. (doi:10.1017/jfm.2019.303).

Record type: Article

Abstract

Streamwise velocity and wall-shear stress are acquired simultaneously with a hot-wire and an array of azimuthal/spanwise-spaced skin friction sensors in large-scale pipe and boundary layer flow facilities at high Reynolds numbers. These allow for a correlation analysis on a per-scale basis between the velocity and reference skin friction signals to reveal which velocity-based turbulent motions are stochastically coherent with turbulent skin friction. In the logarithmic region, the wall-attached structures in both the pipe and boundary layers show evidence of self-similarity, and the range of scales over which the self-similarity is observed decreases with an increasing azimuthal/spanwise offset between the velocity and the reference skin friction signals. The present empirical observations support the existence of a self-similar range of wall-attached turbulence, which in turn are used to extend the model of Baars et al. (J. Fluid Mech., vol. 823, p. R2) to include the azimuthal/spanwise trends. Furthermore, the region where the self-similarity is observed correspond with the wall height where the mean momentum equation formally admits a self-similar invariant form, and simultaneously where the mean and variance profiles of the streamwise velocity exhibit logarithmic dependence. The experimental observations suggest that the self-similar wall-attached structures follow an aspect ratio of in the streamwise, spanwise and wall-normal directions, respectively.

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More information

Accepted/In Press date: 9 April 2019
e-pub ahead of print date: 21 May 2019
Published date: 25 July 2019
Keywords: boundary layer structure, pipe flow boundary layer, turbulent boundary layers

Identifiers

Local EPrints ID: 434193
URI: http://eprints.soton.ac.uk/id/eprint/434193
ISSN: 0022-1120
PURE UUID: c38919b5-1569-4519-926e-2b7b10af8413
ORCID for B. Ganapathisubramani: ORCID iD orcid.org/0000-0001-9817-0486

Catalogue record

Date deposited: 13 Sep 2019 16:30
Last modified: 07 Oct 2020 01:58

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Contributors

Author: R. Baidya
Author: W. J. Baars
Author: S. Zimmerman
Author: M. Samie
Author: R. J. Hearst
Author: E. Dogan
Author: L. Mascotelli
Author: X. Zheng
Author: G. Bellani
Author: A. Talamelli
Author: N. Hutchins
Author: I. Marusic
Author: J. Klewicki
Author: J. P. Monty

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