TY - GEN
T1 - Turbulence suppression in channel flows by small amplitude transverse wall oscillations
AU - Jovanović, Mihailo R.
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34047237639&partnerID=8YFLogxK
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U2 - 10.1109/acc.2006.1656374
DO - 10.1109/acc.2006.1656374
M3 - Conference contribution
AN - SCOPUS:34047237639
SN - 1424402107
SN - 9781424402106
T3 - Proceedings of the American Control Conference
SP - 1161
EP - 1166
BT - Proceedings of the 2006 American Control Conference
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2006 American Control Conference
Y2 - 14 June 2006 through 16 June 2006
ER -