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Proper orthogonal decomposition analysis of vortex dynamics of a circular cylinder under synthetic jet control
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10.1063/1.3540679
/content/aip/journal/pof2/23/1/10.1063/1.3540679
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/1/10.1063/1.3540679

Figures

Image of FIG. 1.
FIG. 1.

Schematic of the experimental circular cylinder.

Image of FIG. 2.
FIG. 2.

Percentage of the cumulative POD modes energy to the total modes energy at , . ◻ natural case; △ ; ▽ 0.25 Hz; ○ 0.50 Hz; ◁ 0.75 Hz; ▷ 1.00 Hz.

Image of FIG. 3.
FIG. 3.

POD analysis of the spanwise vorticity for the natural case at . (a) First four POD modes; (b) time history of first four POD coefficients, mode 1: thick solid line, mode 2: thick dashed line, mode 3: thin solid line, mode 4: thin dashed line; (c) power spectrum of first four POD coefficients.

Image of FIG. 4.
FIG. 4.

Evolution of the instantaneous reconstructed spanwise vorticity within one cycle for the natural case at , where is arbitrary, is the shedding period, and . Contour levels: ±1.

Image of FIG. 5.
FIG. 5.

POD analysis of the spanwise vorticity for at , . (a) First four POD modes; (b) time history of first four POD coefficients; (c) power spectrum of first four POD coefficients. Lines in (b) are the same as those in Fig. 3(b).

Image of FIG. 6.
FIG. 6.

Evolution of the instantaneous reconstructed spanwise vorticity within one excitation cycle for at , , where is the start of the blowing cycle, is the excitation period, and . Contour levels: ±1.

Image of FIG. 7.
FIG. 7.

POD analysis of the spanwise vorticity for at , . (a) First four POD modes; (b) time history of first four POD coefficients; (c) power spectrum of first four POD coefficients. Lines in (b) are the same as those in Fig. 3(b).

Image of FIG. 8.
FIG. 8.

Evolution of the instantaneous reconstructed spanwise vorticity within two excitation cycles for at , , where is the start of the blowing cycle, is the excitation period, and . Contour levels: ±1.

Image of FIG. 9.
FIG. 9.

POD analysis of the spanwise vorticity for at , . (a) First four POD modes; (b) time history of first four POD coefficients; (c) power spectrum of first four POD coefficients. Lines in (b) are the same as those in Fig. 3(b).

Image of FIG. 10.
FIG. 10.

Evolution of the instantaneous reconstructed spanwise vorticity within one excitation cycle for at , , where is the start of the blowing cycle, is the excitation period, and . Contour levels: ±1.

Image of FIG. 11.
FIG. 11.

POD analysis of the streamwise velocity at , . (a) Natural case; (b) ; (c) 0.50 Hz; (d) 0.75 Hz.

Image of FIG. 12.
FIG. 12.

POD analysis of the vertical velocity at , . (a) Natural case; (b) ; (c) 0.50 Hz; (d) 0.75 Hz.

Image of FIG. 13.
FIG. 13.

POD analysis of the spanwise vorticity at , . (a) ; (b) 1.10 Hz; (c) 1.65 Hz.

Image of FIG. 14.
FIG. 14.

POD analysis of the spanwise vorticity at , . (a) Natural case; (b) ; (c) 0.75 Hz; (d) 1.50 Hz.

Image of FIG. 15.
FIG. 15.

Summary of the wake vortex shedding modes vs dimensionless stroke length and dimensionless excitation frequency (a) and vs momentum coefficient and dimensionless excitation frequency (b). Circle, diamond, and square represent the cases of and , and , and and , respectively. The empty, half-filled, full-filled, and crossed-square symbols represent four typical wake vortex shedding modes: antisymmetric Karman vortex shedding mode, vortex synchronization with shedding modes varying between the symmetric and antisymmetric ones, vortex synchronization with symmetric shedding mode, and small-scale discrete vortex shedding mode, respectively.

Tables

Generic image for table
Table I.

Experimental parameters of the synthetic jet flow field. The natural shedding frequency of the Karman vortex is 0.30 and 0.56 Hz at and , respectively.

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/content/aip/journal/pof2/23/1/10.1063/1.3540679
2011-01-20
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Proper orthogonal decomposition analysis of vortex dynamics of a circular cylinder under synthetic jet control
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/1/10.1063/1.3540679
10.1063/1.3540679
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