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Perturbation Energy Production in Pipe Flow over a Range of Reynolds Numbers using Resolvent Analysis

Sharma, A. S. and McKeon, B. J. (2009) Perturbation Energy Production in Pipe Flow over a Range of Reynolds Numbers using Resolvent Analysis. In: 47th AIAA Aerospace Sciences Meeting, 5–8 January 2009, Orlando, FL.

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The response of pipe flow to physically realistic, temporally and spatially continuous(periodic) forcing is investigated by decomposing the resolvent into orthogonal forcing and response pairs ranked according to their contribution to the resolvent 2-norm. Modelling the non-linear terms normally neglected by linearisation as unstructured forcing permits qualitative extrapolation of the resolvent norm results beyond infinitesimally small perturbations to the turbulent case. The concepts arising have a close relationship to input output transfer function analysis methods known in the control systems literature. The body forcings that yield highest disturbance energy gain are identified and ranked by the decomposition and a worst-case bound put on the energy gain integrated across the pipe cross-section. Analysis of the spectral variation of the corresponding response modes reveals interesting comparisons with recent observations of the behavior of the streamwise velocity in high Reynolds number (turbulent) pipe flow, including the importance of very long scales of the order of ten pipe radii, in the extraction of turbulent energy from the mean flow by the action of turbulent shear stress against the velocity gradient.

Item Type:Conference or Workshop Item (Paper)
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URLURL TypeDescription
Sharma, A. S.0000-0002-7170-1627
McKeon, B. J.0000-0003-4220-1583
Additional Information:© 2009 AIAA. The support of the UK EPSRC and an NSF-CAREER award No. 0747672 (Program Manager William W. Schultz) are gratefully acknowledged by A. Sharma and B. McKeon, respectively.
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Engineering and Physical Sciences Research Council (EPSRC)UNSPECIFIED
Record Number:CaltechAUTHORS:20141107-113657314
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51439
Deposited By: Jamie Sei
Deposited On:07 Nov 2014 20:13
Last Modified:10 Nov 2021 19:10

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