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Hydrodynamic interaction of oblique sheets in tandem arrangement
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10.1063/1.4774345
/content/aip/journal/pof2/25/1/10.1063/1.4774345
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/1/10.1063/1.4774345
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) Two elastic sheets in tandem mounted obliquely to the free stream, where α is the mount angle, α is the pitch angle used to measure the passive rotation, and is the tip displacement. (b) A segment of the sheets showing the in-plane tension τ, the transverse stress , and the bending moment .

Image of FIG. 2.
FIG. 2.

The tip displacement, /, of the front sheet (a) and of the rear sheet (b) for * = 1 and / = 1.2.

Image of FIG. 3.
FIG. 3.

The time-averaged vibration amplitude against the separation distance for (a) *=1 and (b) *=5.

Image of FIG. 4.
FIG. 4.

Deformation patterns of a single sheet (a) and (c) and two sheets at the resonant state (b) and (d), where the mass ratio is * = 1 in (a) and (b) and * = 5 in (c) and (d). The separation distance is / = 1.5 in (b) and / = 2 in (d).

Image of FIG. 5.
FIG. 5.

The normalized energy (by ρ ) of each sheet for (a) * = 1 and (b) * = 5, where the energy includes both the elastic potential and the kinetic energy.

Image of FIG. 6.
FIG. 6.

(a) The normalized vibration frequency, / , and (b) phase difference, Δϕ, for * = 1 (squares) and * = 5 (crosses). A positive value of Δϕ means that the rear sheet is advanced with respect to the front sheet.

Image of FIG. 7.
FIG. 7.

Time courses of the tip displacement, /, for the resonant cases: (a) * = 1 and / = 1.5 and (b) * = 5 and / = 2. Thick line: the front sheet; thin line: the rear sheet.

Image of FIG. 8.
FIG. 8.

(a) and (b) Instantaneous vorticity field (left column) and pressure/velocity (right column) for the single sheet at * = 5. The vorticity ranges from −3/ to 3/ and pressure from −ρ to 3ρ . (c) and (d) The fluctuating components of the pitch angle and the torque, α and , for * = 5 (c) and * = 1 (d).

Image of FIG. 9.
FIG. 9.

(a)–(e) Instantaneous vorticity field (left column) and pressure/velocity (right column) for two sheets at * = 5 and / = 2. The contour levels are the same as in Fig. 8 . The fluctuation components of the pitch angle and torque are shown in (f) for the front sheet and (g) for the rear sheet.

Image of FIG. 10.
FIG. 10.

(a) and (b) Instantaneous vorticity field (left column) and pressure/velocity (right column) for two sheets at * = 1 and / = 1.5. The contour levels are the same as in Fig. 8 . The oscillations of the pitch angle and torque are shown in (c) for the front sheet and (d) for the rear sheet.

Image of FIG. 11.
FIG. 11.

Effect of the Reynolds number on the oscillation amplitude of the two sheets at * = 5.

Image of FIG. 12.
FIG. 12.

Effect of the Strouhal number for (a) * = 1 and / = 1.5 (b) * = 5 and / = 2. The Reynolds number is = 300.

Image of FIG. 13.
FIG. 13.

Multiple sheets in tandem arrangement where / = 1.5 for * = 1 and / = 2 for * = 5. (a) The averaged oscillation amplitude. (b) The vibration frequency of the sheets.

Image of FIG. 14.
FIG. 14.

Vibration pattern and vorticity field for five sheets at * = 1, / = 1.5, and = 300.

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/content/aip/journal/pof2/25/1/10.1063/1.4774345
2013-01-17
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Hydrodynamic interaction of oblique sheets in tandem arrangement
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/1/10.1063/1.4774345
10.1063/1.4774345
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