NDLI: Preventing transition to turbulence using streamwise traveling waves: theoretical analysis

Content Provider	IEEE Xplore Digital Library
Author	Moarref, R. Jovanović, M.R.
Copyright Year	2010
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Univ. of Minnesota, Minneapolis, MN, USA (Moarref, R.; Jovanović, M.R.)
Abstract	We assess the efficacy of a zero-net-mass-flux blowing and suction in the form of streamwise traveling waves for controlling the onset of turbulence in a channel flow. For small amplitude actuation along the walls, we utilize perturbation analysis to determine modifications in the base flow and to examine the resulting net power balance. Sensitivity of the velocity fluctuations around this base flow is then employed as a basis for selection of traveling wave parameters. Our simulation-free approach reveals that, relative to the uncontrolled flow, the velocity fluctuations around the upstream traveling waves at best exhibit similar sensitivity to background disturbances. In contrast, the downstream traveling waves with properly designed speed and frequency can significantly reduce sensitivity which makes them well-suited for preventing transition. These theoretical predictions are facilitated by perturbation analysis (in the wave amplitude) of the linearized Navier-Stokes equations, and they are verified using full-scale simulations of the nonlinear flow dynamics in companion paper.
Starting Page	3329
Ending Page	3334
File Size	818686
Page Count	6
File Format	PDF
ISBN	9781424474264
ISSN	07431619
e-ISBN	9781424474271
DOI	10.1109/ACC.2010.5530761
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Fluctuations Frequency Drag Sensor arrays Analysis of variance Navier-Stokes equations Predictive models Fluid flow control Nonlinear equations Hydrogen variance amplification Flow control spatially-periodic systems traveling waves turbulence suppression
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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