Experimental estimation of a D-shaped cylinder wake using body-mounted sensors

Abstract

The effectiveness of a small array of body-mounted sensors, for estimation and eventually feedback flow control of a D-shaped cylinder wake is investigated experimentally. The research is aimed at suppressing unsteady loads resulting from the von-Kármán vortex shedding in the wake of bluff-bodies at a Reynolds number range of 100–1,000. A low-dimensional proper orthogonal decomposition (POD) procedure was applied to the stream-wise and cross-stream velocities in the near wake flow field, with steady-state vortex shedding, obtained using particle image velocimetry (PIV). Data were collected in the unforced condition, which served as a baseline, as well as during influence of forcing within the “lock-in” region. The design of sensor number and placement was based on data from a laminar direct numerical simulation of the Navier-Stokes equations. A linear stochastic estimator (LSE) was employed to map the surface-mounted hot-film sensor signals to the temporal coefficients of the reduced order model of the wake flow field in order to provide accurate yet compact estimates of the low-dimensional states. For a three-sensor configuration, results show that the estimation error of the first two cross-stream modes is within 20–40% of the PIV-generated POD time coefficients. Based on previous investigations, this level of error is acceptable for a moderately robust controller required for feedback flow control.

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Acknowledgments

The authors would like to acknowledge the support and assistance provided by TAU technical staff, Tomer Bachar, Shlomo Paster, Shlomo Moshel, Shlomo Blivis, Eli Kronish, Avram Blas, Eli Nevo, Mark Vasserman and TAU Meadow Aerolab students and staff.

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Correspondence to Avi Seifert.

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Stalnov, O., Palei, V., Fono, I. et al. Experimental estimation of a D-shaped cylinder wake using body-mounted sensors. Exp Fluids 42, 531–542 (2007). https://doi.org/10.1007/s00348-007-0255-9

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Keywords

  • Particle Image Velocimetry
  • Proper Orthogonal Decomposition
  • Proper Orthogonal Decomposition Mode
  • Particle Image Velocimetry Data
  • Sensor Configuration