Experimental manipulation of wall turbulence: A systems approach

Creators: McKeon, B. J.; Sharma, A. S.; Jacobi, I.

Abstract

We review recent progress, based on the approach introduced by McKeon and Sharma [J. Fluid Mech. 658, 336–382 (2010)10.1017/S002211201000176X], in understanding and controlling wall turbulence. The origins of this analysis partly lie in nonlinear robust control theory, but a differentiating feature is the connection with, and prediction of, state-of-the-art understanding of velocity statistics and coherent structures observed in real, high Reynolds number flows. A key component of this line of work is an experimental demonstration of the excitation of velocity response modes predicted by the theory using non-ideal, but practical, actuation at the wall. Limitations of the approach and promising directions for future development are outlined.

Additional Information

© 2013 American Institute of Physics. Received 22 August 2012; accepted 17 January 2013; published online 19 March 2013. This paper is based on an invited lecture, which was presented by Beverley McKeon at the 64th Annual Meeting of the Division of Fluid Dynamics of the American Physical Society, held 20–22 November 2011 in Baltimore, MD. The work reported here is the result of a collaboration that began under the guidance of Professor Jonathan Morrison and Professor David Limebeer when the senior authors were postdoctoral scholars at Imperial College London, and we thank them for the insight and encouragement to work at the interface between wall turbulence and systems analysis. It is also a pleasure to acknowledge useful conversations with many giants in the field, especially Professor Ron Adrian, Professor Javier Jiménez, and Professor Peter Schmid. Other contributions to this work, not reported here, have been made by members, past and present, of the McKeon research group. We are grateful for the support of Air Force Office of Scientific Research under Grant Nos. FA 9550-08-1-0049 and FA 9550-09-1-0701, and the National Science Foundation under Grant No. 0747672 (B.J.M.). For the early stages of this work, an Imperial College Junior Research Fellowship and the Engineering and Physical Sciences Research Council grant EP/E017304/1 are gratefully acknowledged (A.S.).

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