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TECHNICAL PAPERS

Towards Practical Flow Sensing and Control via POD and LSE Based Low-Dimensional Tools

[+] Author and Article Information
J. A. Taylor

Mechanical and Aeronautical Engineering, Clarkson University, Potsdam, New York 13699-5725

M. N. Glauser

Mechanical, Aerospace and Manufacturing Engineering, Syracuse University, Syracuse, New York 13244-1240

J. Fluids Eng 126(3), 337-345 (Jul 12, 2004) (9 pages) doi:10.1115/1.1760540 History: Received June 12, 2003; Revised December 10, 2003; Online July 12, 2004
Copyright © 2004 by ASME
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References

Taylor, J. A., 1999, “Development of an ‘Activewing’ for the Validation of Active Flow Control Schemes to be Applied to the Control of Incipient Separation,” Master’s thesis, Clarkson University, Potsdam, NY, pp. 18–86.
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Taylor, J. A. and Glauser, M. N., 2002, “Towards Practical Flow Sensing and Control via POD and LSE Based Low-Dimensional Tools,” ASME FEDSM2002-31416, Montreal, Quebec, Canada.
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Figures

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The activewing test section with 22 static surface pressure taps on the spanwise centerline of the ramp, and a Pitot-static (differential) probe located at z=−0.152 m (−6 in.)
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The activewing coordinate system
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Mean velocity near the point of incipient separation for the extended (a, b) and short (c, d) inlet with a Reh=2×104
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Mean square energy captured by the first (upper) and second (lower) conditional pod modes at Reh=2×104 and with the extended inlet in place
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The normalized mean square energy, ξnn/∑n=0881λn, for the first N/2, or 441, of 882 composite modes at Reh=2×104
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Mean square energy captured by the first 1, 2, 4, and 16 composite eigenmodes as a function of the flap angle, β, using the velocity information at Reh=2×104 and with the extended inlet in place
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Modes (a) 0, (b) 1, (c) 2, and (d) 3 of the 882 composite eigenfunctions which include information from both the short and extended inlet cases at Reh=2×104,3.5×104, and 5×104
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Phase averaged POD expansion coefficients, 〈an(β)〉, for modes (a) 0, (b) 1, (c) 2 and (d) 3 at Reh=2×104 and with the extended inlet in place. Error bars indicate the magnitude of the fluctuations, 3σ, in the POD expansion coefficients.
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Comparison of the phase averaged POD and estimated POD expansion coefficients for modes (a) 0, (b) 1, (c) 2 and (d) 3 at Reh=2×104. Error bars indicate the magnitude of the fluctuations, 3σ, in the estimated POD expansion coefficients.
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Comparison of the wall normal velocity profiles on the ramped surface, us(ys/h) and vs(ys/h), at (a, d) xs/h=0.34, (b, e) xs/h=0.67, and (c, f) xs/h=1.01 with β=21 deg and Reh=2×104.

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