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Published June 2013 | public
Conference Paper

Closing the loop: an explicit calculation of the nonlinearity in the resolvent formulation of wall turbulence


The resolvent-based analysis of wall turbulence (McKeon & Sharma 2010) is extended with an explicit treatment of the non-linearity in the Navier-Stokes equations. The equivalent of triadic interaction in the wall-normal direction is described, and it is found that the resulting forcing has a phase shift of π/2 in terms associated with symmetric spatial directions. Explicit forms for the nonlinearity in fully-developed pipe and channel flows, i.e. in cylindrical and Cartesian coordinate systems.

Additional Information

© 2013 AIAA. BJM gratefully acknowledges the support of NSF CAREER award grant number 0747672 (program managers William Schultz and H. Henning Winter) and the Air Force Office of Scientific Research (program manager John Schmisseur), grant number FA9550-09-1-0701.

Additional details

August 19, 2023
October 20, 2023