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Published January 2010 | Published
Conference Paper Open

Energetic Modes in Turbulent Pipe Flow From Resolvent Analysis


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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Published - AIAA-2010-697.pdf


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