Turbulence suppression in channel flows by small amplitude transverse wall oscillations

Mihailo R. Jovanović

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

We model and analyze the influence of small amplitude transverse wall oscillations on the evolution of velocity perturbations in channel flows. The amplitude and frequency of periodic oscillations enter as coefficients, and spatially distributed and temporally varying body force fields enter as stochastic external excitations to our models. We quantify the effect of these excitations on velocity perturbation energy and develop a system theoretic paradigm for the optimal selection of transverse oscillation parameters for turbulence suppression. We use a perturbation analysis to demonstrate that depending on the wall oscillation frequency the energy of velocity perturbations can be increased or decreased compared to the uncontrolled flow. Our results provide a first compelling theoretical explanation as to why properly designed transverse wall oscillations can suppress turbulence in the wall-bounded shear flows.

Original languageEnglish (US)
Title of host publicationProceedings of the 2006 American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1161-1166
Number of pages6
ISBN (Print)1424402107, 9781424402106
DOIs
StatePublished - 2006
Event2006 American Control Conference - Minneapolis, MN, United States
Duration: Jun 14 2006Jun 16 2006

Publication series

NameProceedings of the American Control Conference
Volume2006
ISSN (Print)0743-1619

Other

Other2006 American Control Conference
CountryUnited States
CityMinneapolis, MN
Period6/14/066/16/06

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