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Coupling modes of three filaments in side-by-side arrangement
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10.1063/1.3659892
/content/aip/journal/pof2/23/11/10.1063/1.3659892
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/11/10.1063/1.3659892
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic of the three filaments placed side by side in a uniform flow.

Image of FIG. 2.
FIG. 2.

(Color online) The single-filament mode (M1a) of the three filaments at h = 0.1: (a) the vorticity field and (b) the displacement of the tails as a function of time.

Image of FIG. 3.
FIG. 3.

(Color online) The symmetrical mode (M2) of the three filaments at h = 0.4: (a) the vorticity contours and (b) the displacement of the tails as a function of time.

Image of FIG. 4.
FIG. 4.

(Color online) The out-of-phase mode (M3) of the three filaments at h = 4.0: (a) the vorticity field and (b) the tail displacement of the filaments as a function of time.

Image of FIG. 5.
FIG. 5.

The in-phase (M1b) at h = 15.0: the tail displacement of the three filaments during the start (top), transitional (middle), and established (bottom) periods (see previous figures for the legends).

Image of FIG. 6.
FIG. 6.

The half-frequency mode (M4) of the three filaments at h = 0.2: the tail displacement of the filaments 1 (solid line), 2 (dashed line), and 3 (dashed-dotted line) during the transitional period (top) and established period (bottom).

Image of FIG. 7.
FIG. 7.

The irrational-frequency mode (M5) of the three filaments at h = 2.5: (a) the tail displacement of the filaments 1 (solid line), 2 (dashed line), and 3 (dashed-dotted line); (b) the PSD of the tail displacement vs the reduced frequency, St = fL/U 0.

Image of FIG. 8.
FIG. 8.

The erratic flap of the three filaments at h = 0.6: the tail displacement of the filaments 1(solid line), 2(dashed line), and 3(dashed-dotted line).

Image of FIG. 9.
FIG. 9.

The time-averaged (a) vibration amplitude, (b) frequency, and (c) drag versus h for the three-filament system. The coupling modes are, in their order, the in-phase single-filament mode (M1a), half-frequency mode (M4), symmetric mode (M2), erratic flapping (ER), irrational-frequency mode (M5), out-of-phase mode (M5), and in-phase mode at large h (M1b).

Image of FIG. 10.
FIG. 10.

The time-averaged elastic potential (black bar) and kinetic energy (white bar) for selected cases in each mode. (a) Energies for filament 1 (left) and filament 2 (right); (b) total energy of the three filaments.

Image of FIG. 11.
FIG. 11.

(Color online) The instantaneous vorticity fields for mode M4 at h = 0.2 (a)-(h). The corresponding time stamps are indicated in (i), where the tail displacement is plotted for filaments 1 (solid line), 2 (dashed line), and 3 (dashed-dotted line).

Image of FIG. 12.
FIG. 12.

(Color online) The instantaneous vorticity field within one cycle for M2 at h = 0.4.

Image of FIG. 13.
FIG. 13.

(Color online) The instantaneous vorticity field for ER at h = 0.6 (a)-(h). The time stamps are indicated in (i), where the legends are the same as in Fig. 11.

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/content/aip/journal/pof2/23/11/10.1063/1.3659892
2011-11-17
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Coupling modes of three filaments in side-by-side arrangement
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/11/10.1063/1.3659892
10.1063/1.3659892
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