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Structure of turbulent flow over regular arrays of cubical roughness.

Structure of turbulent flow over regular arrays of cubical roughness.
Structure of turbulent flow over regular arrays of cubical roughness.
The structure of turbulent flow over large roughness consisting of regular arrays of cubical obstacles is investigated numerically under constant pressure gradient conditions. Results are analysed in terms of first- and second-order statistics, by visualization of instantaneous flow fields and by conditional averaging. The accuracy of the simulations is established by detailed comparisons of first- and second-order statistics with wind-tunnel measurements. Coherent structures in the log region are investigated. Structure angles are computed from two-point correlations, and quadrant analysis is performed to determine the relative importance of Q2 and Q4 events (ejections and sweeps) as a function of height above the roughness. Flow visualization shows the existence of low-momentum regions (LMRs) as well as vortical structures throughout the log layer. Filtering techniques are used to reveal instantaneous examples of the association of the vortices with the LMRs, and linear stochastic estimation and conditional averaging are employed to deduce their statistical properties. The conditional averaging results reveal the presence of LMRs and regions of Q2 and Q4 events that appear to be associated with hairpin-like vortices, but a quantitative correspondence between the sizes of the vortices and those of the LMRs is difficult to establish; a simple estimate of the ratio of the vortex width to the LMR width gives a value that is several times larger than the corresponding ratio over smooth walls. The shape and inclination of the vortices and their spatial organization are compared to recent findings over smooth walls. Characteristic length scales are shown to scale linearly with height in the log region. Whilst there are striking qualitative similarities with smooth walls, there are also important differences in detail regarding: (i) structure angles and sizes and their dependence on distance from the rough surface; (ii) the flow structure close to the roughness; (iii) the roles of inflows into and outflows from cavities within the roughness; (iv) larger vortices on the rough wall compared to the smooth wall; (v) the effect of the different generation mechanism at the wall in setting the scales of structures.
turbulent boundary layer, roughness array
0022-1120
375-409
Coceal, O.
da233575-2c0b-4e62-8aa8-32187bd2fbdd
Dobre, A.
d08e6095-be3c-4db0-aa8f-427cc45baf64
Thomas, T.G.
bccfa8da-6c8b-4eec-b593-00587d3ce3cc
Belcher, S.E.
c834c272-81e1-4185-b5cd-5890a9a39ea0
Coceal, O.
da233575-2c0b-4e62-8aa8-32187bd2fbdd
Dobre, A.
d08e6095-be3c-4db0-aa8f-427cc45baf64
Thomas, T.G.
bccfa8da-6c8b-4eec-b593-00587d3ce3cc
Belcher, S.E.
c834c272-81e1-4185-b5cd-5890a9a39ea0

Coceal, O., Dobre, A., Thomas, T.G. and Belcher, S.E. (2007) Structure of turbulent flow over regular arrays of cubical roughness. Journal of Fluid Mechanics, 589, 375-409. (doi:10.1017/S002211200700794X).

Record type: Article

Abstract

The structure of turbulent flow over large roughness consisting of regular arrays of cubical obstacles is investigated numerically under constant pressure gradient conditions. Results are analysed in terms of first- and second-order statistics, by visualization of instantaneous flow fields and by conditional averaging. The accuracy of the simulations is established by detailed comparisons of first- and second-order statistics with wind-tunnel measurements. Coherent structures in the log region are investigated. Structure angles are computed from two-point correlations, and quadrant analysis is performed to determine the relative importance of Q2 and Q4 events (ejections and sweeps) as a function of height above the roughness. Flow visualization shows the existence of low-momentum regions (LMRs) as well as vortical structures throughout the log layer. Filtering techniques are used to reveal instantaneous examples of the association of the vortices with the LMRs, and linear stochastic estimation and conditional averaging are employed to deduce their statistical properties. The conditional averaging results reveal the presence of LMRs and regions of Q2 and Q4 events that appear to be associated with hairpin-like vortices, but a quantitative correspondence between the sizes of the vortices and those of the LMRs is difficult to establish; a simple estimate of the ratio of the vortex width to the LMR width gives a value that is several times larger than the corresponding ratio over smooth walls. The shape and inclination of the vortices and their spatial organization are compared to recent findings over smooth walls. Characteristic length scales are shown to scale linearly with height in the log region. Whilst there are striking qualitative similarities with smooth walls, there are also important differences in detail regarding: (i) structure angles and sizes and their dependence on distance from the rough surface; (ii) the flow structure close to the roughness; (iii) the roles of inflows into and outflows from cavities within the roughness; (iv) larger vortices on the rough wall compared to the smooth wall; (v) the effect of the different generation mechanism at the wall in setting the scales of structures.

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More information

Published date: October 2007
Keywords: turbulent boundary layer, roughness array
Organisations: Aerodynamics & Flight Mechanics

Identifiers

Local EPrints ID: 64317
URI: https://eprints.soton.ac.uk/id/eprint/64317
ISSN: 0022-1120
PURE UUID: 21b47d04-ad48-479e-9054-e21121ad2780

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Date deposited: 18 Dec 2008
Last modified: 13 Mar 2019 20:22

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