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Buckled elastic sheet as a vortex generator in dual channels. (English) Zbl 07842559

Summary: This study presents a dual-channel vortex generator (VG) that leverages the snap-through behaviour of flexible sheets. The VG outperforms a similar-sized rigid VG in generating vortices within dual-channel flows while minimizing pressure loss. Numerical simulations using the immersed boundary-lattice Boltzmann method analyse the dynamics and vortex generation performance of the sheet under various system parameters. Two distinct modes are identified for the elastic sheet: a sustained snap-through mode (SSTM) and a dormant mode (DM). The sheet’s mode is predominantly influenced by its length ratio (\(L^\ast\)), bending stiffness (\(K_b^\ast\)) and flow strength, with the mass ratio having a minimal impact. The sheet exhibiting regular SSTM can effectively generate vortices in both channels and the vortex generation performance can be conveniently tuned by altering the sheet’s initial buckling (i.e. \(L^\ast\)). An increase in \(K_b^\ast\) results in a higher critical Reynolds number (\(Re_c\)) required for mode transition. An increase in \(L^\ast\), however, initially raises \(Re_c\) and then lowers it, suggesting an optimal length ratio (approximately 0.7 for our considered system) for minimizing the \(Re_c\) necessary to trigger SSTM. Furthermore, a disparity in the flow strength between channels is found to suppress the snap-through of the sheet; a greater disparity, however, is permissible to induce the SSTM of more compliant sheets. These findings underscore the potential of snap-through behaviour for enhanced flow manipulation in dual-channel systems.

MSC:

76-XX Fluid mechanics
Full Text: DOI

References:

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