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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

Figures

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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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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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