Generalized phase average with applications to sensor-based flow estimation of the wall-mounted square cylinder wake

We experimentally investigate the three-dimensional wake behind a finite wall-mounted square cylinder at $\mathit{Re}= 12\hspace{0.167em} 000$ and aspect ratio of 4. Focus is placed on the base flow and oscillatory fluctuation. Time-resolved three-dimensional velocity fields are constructed from hig...

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Bibliographic Details
Published in:Journal of fluid mechanics 2013-12, Vol.736, p.316-350
Main Authors: Bourgeois, J. A., Noack, B. R., Martinuzzi, R. J.
Format: Article
Language:English
Subjects:
Aspect ratio
Base flow
Computational fluid dynamics
Construction
Cylinders
Decomposition
Dynamics
Exact sciences and technology
Fields
Fluid dynamics
Fluid flow
Fundamental areas of phenomenology (including applications)
Higher harmonics
Instrumentation for fluid dynamics
Mathematical analysis
Oscillations
Particle image velocimetry
Physics
Planes
Pressure
Reynolds number
Sensors
Three dimensional
Turbulence
Turbulent flow
Turbulent flows, convection, and heat transfer
Variation
Velocity
Velocity distribution
Velocity measurement
Vortices
Wakes
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Summary:We experimentally investigate the three-dimensional wake behind a finite wall-mounted square cylinder at $\mathit{Re}= 12\hspace{0.167em} 000$ and aspect ratio of 4. Focus is placed on the base flow and oscillatory fluctuation. Time-resolved three-dimensional velocity fields are constructed from high-frame-rate particle image velocimetry (PIV) and simultaneously recorded surface pressure measurements. All three velocity components are resolved in a rectangular near-wake region by two orthogonal dense arrays of parallel PIV planes. A key enabler is a generalized phase average incorporating a slowly varying base flow, a variable oscillation amplitude and higher harmonics. These generalizations reduce the instantaneous residual 30 % below those of a traditional phase average. Moreover, the resolved variations reveal analytical constraints of the mean flow and oscillation levels, such as the mean-field paraboloid. The proposed methodology for generalized phase averaging and for construction of three-dimensional velocity fields from two-dimensional PIV data is applicable to a large class of turbulent flows with oscillatory dynamics.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2013.494