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

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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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References

  • Adrian RJ (1977) On the role of conditional averages in turbulence theory. In: Turbulence in liquids, Proceedings of the fourth biennial symposium, Rolla, Mo., September 22–24, 1975. (A77-40426 18-34) Princeton, NJ, Science Press, pp 323–332

  • Balas MJ (1978) Active control of flexible systems. J Optim Theory Appl 25(3):217–236

    Article  MathSciNet  Google Scholar 

  • Baruh H, Choe K (1990) Sensor placement in structural control. J Guid Control 13(3):524–533

    Article  MATH  Google Scholar 

  • Blevins RD (1990) Flow induced vibration, 2nd edn. Van Nostrand reinhold, New York, pp 451

    Google Scholar 

  • Cohen K, Siegel S, McLaughlin T, Gillies E (2003) Feedback control of a cylinder wake low-dimensional model. AIAA J 41(8):000–1452

    Google Scholar 

  • Cohen K, Siegel S, Luchtenburg M, and McLaughlin T, Seifert A (2004) Sensor placement for closed-loop flow control of a ‘D’ shaped cylinder wake. 2nd AIAA flow control conference, 28 June to 1 July 2004, Portland, Oregon, AIAA-2004-2523

  • Cohen K, Siegel S, Wetlesen D, Cameron J, Sick A (2004) Effective sensor placements for the estimation of proper orthogonal decomposition mode coefficients in von-Kármán vortex street. J Vib Control 10(12):1857–1880

    Article  Google Scholar 

  • Cohen K, Siegel S, McLaughlin T, Gillies E, Myatt J (2005) Closed-loop approaches to control of a wake flow modeled by the Ginzburg-Landau equation. Comput Fluids 34(8):927–949

    Article  MATH  Google Scholar 

  • Cohen K, Siegel S, McLaughlin T (2006) A heuristic approach to effective sensor placement for modeling of a cylinder wake. Comput Fluids 35(1):103–120

    Article  MATH  Google Scholar 

  • Collis S, Joslin RD, Seifert A, Theofilis V (2004) Issues in active flow control: theory, simulation and experiment. Prog Aero Sci V40:237–289 (previously AIAA paper 2002–3277)

    Google Scholar 

  • Deane AE, Kevrekidis IJ, Karniadakis GE, Orsag SA (1991) Low dimensional models for complex geometry flow: application to grooved channels and circular cylinder. Phys Fluids A 3:2337–2354

    Article  MATH  Google Scholar 

  • Gillies EA (1998) Low-dimensional control of the circular cylinder wake. J Fluid Mech 371:157–178

    Article  MATH  MathSciNet  Google Scholar 

  • He JW, Glowinski R, Metcalfe R, Nordlander A, Periaux J (2000) Active control and drag optimization for flow past a circular cylinder. J Comput Phys 163:83–117

    Article  MATH  MathSciNet  Google Scholar 

  • Holmes P, Lumley JL, Berkooz G (1996) Turbulence, coherent structures, dynamical systems and symmetry. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Lim KB (1997) A disturbance rejection approach to actuator and sensor placement. NASA CR-201623, January–Febrary

  • Meirovitch L (1990) Dynamics and control of structures. Wiley, New York, pp 313–351

    Google Scholar 

  • Naim A, Greenblatt D, Seifert A, Wygnanski I (2006) Active control of cylinder flow with and without a splitter plate using piezoelectric actuators. AIAA Paper 2002–3070, June 2002. (Submitted to flow, turbulence and combustion, 2006)

  • Noack BR, Afanasiev K, Morzynski M, Tadmor G, Thiele F (2003) A hierarchy of low-dimensional models for the transient and post-transient cylinder wake. J Fluid Mech 497:335–363

    Article  MATH  MathSciNet  Google Scholar 

  • Roshko A (1954) On the drag and shedding frequency of two-dimensional bluff bodies. NACA TM 3169

  • Rowley CW, Juttijudata V (2005) Model-based control and estimation of cavity flow oscillations. IEEE conference on decision and control

  • Gerhard J, Pastoor M, King R, Noack BR, Dillmann A, Morzynski M, Tadmor G, (2003) Model-based control of vortex shedding using low-dimensional Galerkin models. AIAA paper 2003–4262

  • Luchtenburg M, Tadmor G, Lehmann O, Noack BR, King R, Morzynski M (2006) Tuned POD galerkin models for transient feedback regulation of cylinder wake. AIAA paper 2006–1407

  • Roussopoulos K, Monkewitz, PA (1996) Nonlinear modeling of vortex shedding control in cylinder wakes. Physica D (97):264–273

  • Siegel S, Cohen K, McLaughlin T (2003) Feedback control of a circular cylinder wake in experiment and simulation. 33rd AIAA fluid dynamics conference, Orlando, AIAA 2003–3569

  • Sirovich L (1987) Turbulence and the dynamics of coherent structures. Quart Appl Math XLV:561–571

    MathSciNet  Google Scholar 

  • Tadmor G, Noack BR, Morzynski M (2004a) Low-dimensional models for feedback flow control. Part I: empirical Galerkin models. 2nd AIAA flow control conference, 28 June–1 July 2004, Portland, Oregon, AIAA-2004–2408

  • Tadmor G, Noack BR, Morzynski M, Siegel S (2004b) Low-dimensional models for feedback flow control. Part II: Observer and controller design. 2nd AIAA flow control conference, 28 June to 1 July 2004, Portland, Oregon, AIAA Paper 2004–2409

  • Tadmor G, Noack BR (2004) Dynamic estimation for reduced Galerkin models of fluid flows. Paper WeM18.1, Proceedings of the 2004 American control conference, Boston, USA, June 30 to July 2, 2004

  • von-Kármán T (1954) Aerodynamics: selected topics in light of their historic development. Cornell University Press, New York

    Google Scholar 

  • Williamson CHK (1996) Vortex dynamics in the cylinder wake. Annu Rev Fluid Mech 8:477–539

    Article  Google Scholar 

  • Yehoshua T, Seifert A (2006) Boundary condition effects on the evolution of a train of vortex pairs in still air. Aeronaut J 110(1109):397–417

    Google Scholar 

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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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Authors and Affiliations

  1. Department of Fluid Mechanics and Heat Transfer, Faculty of Engineering, Tel-Aviv University, Tel Aviv, 69978, Israel

    Oksana Stalnov, Vitali Palei, Ilan Fono, Kelly Cohen & Avi Seifert

  2. KAYOS Enterprise Inc., Colorado Springs, CO, USA

    Kelly Cohen

  3. Meadow Aerodynamics Laboratory, Faculty of Engineering, Tel-Aviv University, Tel Aviv, Israel

    Avi Seifert

Authors
  1. Oksana Stalnov
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  2. Vitali Palei
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  3. Ilan Fono
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  4. Kelly Cohen
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  5. Avi Seifert
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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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  • DOI: https://doi.org/10.1007/s00348-007-0255-9

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