DOI: 10.1063/5.0337811 ISSN: 1070-6631

Filament flexibility delays separated-vortex-ring instability in dandelion seeds

Jinming Yao, T. H. New, Huibo Zhang, Xinyi Liang, Yixin Huang, Jianan Xu, Huaibo Yao

Existing aerodynamic models of dandelion seeds have treated the filament as rigid or statically prescribed, leaving flexibility-induced wake stabilization unresolved. A three-dimensional partitioned fluid–structure interaction framework coupling large-eddy simulation with an absolute nodal coordinate formulation solver examines compliance at ReD≈470, with additional fixed-compliance cases at ReD=350 and 600. At ReD≈470, Ca=3.06×10−7 retains a centered separated vortex ring and reduces the standard deviation of the resultant transverse-force coefficient by 40.1%, whereas Ca=3.83×10−7 develops late-stage wake inclination and bilateral shedding similar to the rigid case, with the standard deviation reaching 3.0% above the rigid value. At intermediate compliance, azimuthally non-uniform breathing-like motion repositions local passages and is associated with bilaterally balanced leeward low-pressure cores, a reverse-flow centroid offset 19.2% below the rigid value, and weaker transverse velocity gradients, despite little change in the sectional forward-flow partition. Together with the shared low-frequency structural–aerodynamic response, this reorganization characterizes a lower-amplitude coupled state that delays asymmetric shedding, whereas excessive compliance reintroduces wake distortion and transverse-load unsteadiness. The three sampled cases spanning Ca=(2.55−3.06)×10−7 retain at least 99.912% of the rigid mean drag and reduce the transverse-force standard deviation by 40.1%–42.1%. Their longitudinal drag fluctuations increase, but the added standard deviation is only 0.099%–0.160% of the rigid mean drag. At fixed Ca=3.06×10−7, mean drag exhibits an overall decrease broadly consistent with the theoretical ReD−2/3 trend but differs from the corresponding prediction by less than 7.9% over 350≤ReD≤600. The normalized lateral response and force-component trade-off vary with Reynolds number, with pronounced transverse attenuation occurring only at ReD=470 among the sampled conditions.