Published January 2010 | Version Published
Conference Paper Open

Energetic Modes in Turbulent Pipe Flow From Resolvent Analysis

Abstract

We describe a method to investigate the mode shapes in turbulent pipe flow at a given wavenumber pair that are most responsive to harmonic forcing in the sense that the they correspond to the largest singular value in a Schmidt decomposition of the linear Navier-Stokes operator using the turbulent mean profile as the base flow. The ideas follow logically from the work of Sharma & McKeon (2009), who considered a similar approach for laminar pipe flow.

Additional Information

© 2010 McKeon and Sharma. The support of NSF CAREER award grant number 0747672 (program managers William Schultz and H. Henning Winter), Air Force Office of Scientific Research (program manager John Schmisseur), grant number FA9550-09-1-0701 (B.J.M.), an Imperial College Junior Research Fellowship and the EPSRC (A.S.) is gratefully acknowledged. We would also like to thank A. Meseguer and L. Trefethen for publishing their pipe code.

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Additional details

Identifiers

Eprint ID
55462
Resolver ID
CaltechAUTHORS:20150303-105749150

Funding

NSF
CBET-0747672
Air Force Office of Scientific Research (AFOSR)
FA9550-09-1-0701
Imperial College London
Engineering and Physical Sciences Research Council (EPSRC)

Dates

Created
2015-03-03
Created from EPrint's datestamp field
Updated
2021-11-10
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
GALCIT
Other Numbering System Name
AIAA Paper
Other Numbering System Identifier
2010-697