AA << study the self-induced flapping dynamics of an inverted elastic foil when placed in tandem with a stationary circular cylinder. The effect of wake interference on the inverted foil's coupled dynamics is examined at a fixed Reynolds number (Re) as a function of nondimensional bending rigidity (𝐾B) and the structure-to-fluid mass ratio (𝑚*). >>
AA << results show that there exists a critical 𝐾B (..), above which the downstream foil is synchronized with the unsteady wake, and the cylinder controls the flapping response and the wake vortex dynamics. During synchronization, two additional flapping modes, namely, the small- and moderate-amplitude flapping mode, are observed as a function of decreasing 𝐾B. Below 𝐾B,Cr, the downstream foil undergoes self-induced large-amplitude flapping (LAF) similar to that of an isolated foil counterpart. >>
<< When the dynamics of the downstream foil are analyzed for a range of 𝑚*, (AA) can characterize the response dynamics into two regions: low and high sensitivity. The high-sensitivity region is observed when the dynamics are controlled by the cylinder vortex shedding, i.e., for foils with high stiffness. In this regime, the foil dynamics is negatively correlated with 𝐾B and 𝑚*. >>
<< The low-sensitivity region is observed when the downstream foil is no longer synchronized with the wake and undergoes an LAF response, with dynamics that are weakly correlated with 𝐾B. A nondimensional parameter is proposed that combines the effect of the foil's inertia and elastic forces and can capture the foil's response when it is subjected to wake interference effects. >>
Aarshana R. Parekh, Rajeev K. Jaiman. Wake interference effects on flapping dynamics of elastic inverted foil. Phys. Rev. Fluids 10, 014702. Jan 16, 2025.
https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.10.014702 arXiv: 2311.09339v3 [physics.flu-dyn]. Apr 25, 2024. https://arxiv.org/abs/2311.09339
Also: vortex, elastic, transition, in https://www.inkgmr.net/kwrds.html
Keywords: gst, self-induced flapping dynamics, vortex, elasticity, transitions
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