Abstract
The influence of the central hole on dynamics of the coupled system including a perforated plate and a filament was numerically investigated using the immersed boundary method (IBM). Dynamics of the system were first investigated across various length ratios of filament to plate Lr and hole sizes Dh at the Reynolds number Re=100. When Dh≤0.1, the IBM was proven to be unusable due to the area leakage brought about by the smoothed approximation of the Dirac delta function. When Dh>0.1, the calculation results were reliable and showed that the key values were not significantly affected by Dh. Compared to a bare plate, the system exhibits a maximum drag reduction of about 30% at Lr=2.0, regardless of Dh. In contrast to a closed system, a hole facilitated a more harmonious filament flap by allowing fluid exchange, thereby preventing local oscillation of the filament. Additionally, the multiple frequency dominant (MFD) mode was observed and its distribution in Lr-Dh space was also presented. Finally, the simulations under various Re were conducted. The effect of Dh on the system drag was still weak regardless of Re. However, the filament motion changed from periodic to chaotic as Re increased.
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