Linear oscillations of a stretched hyperelastic circular membrane encapsulating a sloshing liquid. Preliminary results (original) (raw)
The eigenfleld of an in∞ated/de∞ated stretched circular membrane, which is clamped to a circular cylindrical cavity fllled by a liquid, is examined. The preprint presents basic mathematical formulations, preliminary mathematical results and proposes a numerical approach.
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The European Physical Journal Applied Physics
Active control of the flow behind a bluff body is obtained by integrating a vibrating membrane. A numerical study has been conducted to investigate the effect of the vibration of a flexible membrane, stuck to the rear side of a circular cylinder, on the global flow parameters such as the Strouhal number, the drag and lift coefficients. The shape of the membrane is evolving as a vibrating chord using a dynamic mesh. The governing equations of 2D and laminar flow have been solved using ANSYS Fluent 16.0 as a solver and the Gambit as a modeler. The motion of the membrane is managed by two parameters: frequency f and amplitude A. The effect of the flexible membrane motion is studied for the range of conditions as 0.1 Hz ≤ f ≤ 6 Hz and 5 × 10−4 m ≤ A ≤ 10−3 m at a fixed Reynolds number, Re = 150. Three different sizes of the flexible membrane have been studied. Results show that a beat phenomenon affects the drag coefficient. The amplitude does not affect significantly the Strouhal numbe...
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