Predicting structural and statistical features of wall turbulence
Predicting structural and statistical features of wall turbulence
The majority of practical flows, particularly those flows in applications of importance to transport, distribution and climate, are turbulent and as a result experience complex three-dimensional motion with increased drag compared
with the smoother, laminar condition. In this study, we describe the development of a simple model that predicts important structural and scaling features of wall turbulence. We show that a simple linear superposition of modes derived from a forcing-response analysis of the Navier-Stokes equations can be used to reconcile certain key statistical and structural descriptions of wall turbulence. The computationally cheap approach explains and predicts vortical structures and velocity statistics of turbulent flows that have previously been identified only in experiments or by direct numerical simulation. In particular, we propose an economical explanation for the meandering appearance of very large scale motions observed in turbulent pipe flow, and likewise demonstrate that hairpin vortices are predicted by the model. This new capability has clear implications for modeling, simulation and control of a ubiquitous class of wall flows.
1-15
McKeon, B.J.
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Sharma, A.S.
cdd9deae-6f3a-40d9-864c-76baf85d8718
Jacobi, I.
807bf82d-3e76-4e11-bad9-194ef95b6ee5
McKeon, B.J.
2e685015-292a-42a7-8c9e-7cc27cf2da67
Sharma, A.S.
cdd9deae-6f3a-40d9-864c-76baf85d8718
Jacobi, I.
807bf82d-3e76-4e11-bad9-194ef95b6ee5
McKeon, B.J., Sharma, A.S. and Jacobi, I.
(2010)
Predicting structural and statistical features of wall turbulence.
Pre-print, (arXiv:1012.0426), .
Abstract
The majority of practical flows, particularly those flows in applications of importance to transport, distribution and climate, are turbulent and as a result experience complex three-dimensional motion with increased drag compared
with the smoother, laminar condition. In this study, we describe the development of a simple model that predicts important structural and scaling features of wall turbulence. We show that a simple linear superposition of modes derived from a forcing-response analysis of the Navier-Stokes equations can be used to reconcile certain key statistical and structural descriptions of wall turbulence. The computationally cheap approach explains and predicts vortical structures and velocity statistics of turbulent flows that have previously been identified only in experiments or by direct numerical simulation. In particular, we propose an economical explanation for the meandering appearance of very large scale motions observed in turbulent pipe flow, and likewise demonstrate that hairpin vortices are predicted by the model. This new capability has clear implications for modeling, simulation and control of a ubiquitous class of wall flows.
Text
1012.0426v1.pdf
- Author's Original
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e-pub ahead of print date: 2 December 2010
Organisations:
Aerodynamics & Flight Mechanics Group
Identifiers
Local EPrints ID: 350310
URI: http://eprints.soton.ac.uk/id/eprint/350310
PURE UUID: 0b81161d-74bd-4604-8705-b931722d7512
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Date deposited: 25 Mar 2013 12:43
Last modified: 15 Mar 2024 03:46
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Contributors
Author:
B.J. McKeon
Author:
A.S. Sharma
Author:
I. Jacobi
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