Dynamic behaviours of flexible plates vertically fixed in a channel

Omar Aref , Li Wang , John Young , Fang-Bao Tian

Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (5) : 2839 -2867.

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Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (5) :2839 -2867. DOI: 10.3934/era.2026129
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Dynamic behaviours of flexible plates vertically fixed in a channel
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Abstract

This work studies the nonlinear dynamics of plates vertically attached to a channel using the immersed boundary-lattice Boltzmann-general interpolation material point method. The hydrodynamic flow and dynamics of the plate walls over a broad range of Reynolds numbers, structure-to-fluid mass ratio, and bending stiffness are analysed. Four modes are identified: stable plate with symmetric vortex, stable plate with asymmetric vortex, unstable plate with symmetric vortex, and unstable plate with asymmetric vortex. The modes represent distinct flow-structure interaction scenarios observed during the study of plates subjected to fluid flows. A symmetric wake remains aligned with the centreline of the artery over time, while an asymmetric wake deviates upwards or downwards from the centreline. The potential pathways to steady and unsteady behaviour are explored. The physical mechanisms that cause different modes of dynamic response for the plates are discussed.

Keywords

fluid-structure interaction / immersed boundary method / lattice Boltzmann method / channel flow / stenosis

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Omar Aref, Li Wang, John Young, Fang-Bao Tian. Dynamic behaviours of flexible plates vertically fixed in a channel. Electronic Research Archive, 2026, 34 (5) : 2839-2867 DOI:10.3934/era.2026129

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