### Abstract

We are developing methods to predict the dynamics of the flow field above a NACA-4412 airfoil using real-time measurements of the pressure from the surface of the airfoil only. Through Proper Orthogonal Decomposition (POD) and modified Linear Stochastic Measurement (mLSM) low-dimensional techniques (Lumley (1967), Adrian (1975), Taylor & Glauser (2004)) these pressure measurements are coupled to Particle Image Velocimetry (PIV) data of the flow to estimate the time dependent coefficients describing the flow. Based on a least-squares technique applied to the POD spatial modes, we obtain a system of ODEs that are solved to get the time-evolution of the POD coefficients, whereby an estimate of the evolution equation of the flow is obtained. This low-dimensional estimated plant will be used to explore different Proportional, Integral & Derivative (PID) control parameters and will enable us to implement a controller of the flow state above the airfoil using leading-edge zero net-mass flow actuators while pitching the airfoil.

Original language | English (US) |
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Pages | 105-109 |

Number of pages | 5 |

State | Published - Dec 1 2005 |

Event | 4th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 4 - Williamsburg, VA, United States Duration: Jun 27 2005 → Jun 29 2005 |

### Other

Other | 4th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 4 |
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Country | United States |

City | Williamsburg, VA |

Period | 6/27/05 → 6/29/05 |

### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes

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## Cite this

*Closed-loop feedback control of the turbulent flow over a NACA-4412 airfoil*. 105-109. Paper presented at 4th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 4, Williamsburg, VA, United States.