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Particle motion in a bed under a rigid plate, submerged and oscillated over its surface, and bed morphologies induced by flexible plates

Published online by Cambridge University Press:  13 September 2024

Anna Prati Open the ORCID record for Anna Prati [Opens in a new window] ,
Michele Larcher Open the ORCID record for Michele Larcher [Opens in a new window] ,
James T. Jenkins Open the ORCID record for James T. Jenkins [Opens in a new window]  and
Luigi La Ragione Open the ORCID record for Luigi La Ragione [Opens in a new window]
Anna Prati*
Affiliation:
Faculty of Engineering, Free University of Bozen-Bolzano, 39100 Bolzano, Italy
Michele Larcher
Affiliation:
Faculty of Engineering, Free University of Bozen-Bolzano, 39100 Bolzano, Italy
James T. Jenkins
Affiliation:
School of Civil and Environmental Engineering, Cornell University, Ithaca, NY 14853, USA
Luigi La Ragione
Affiliation:
Dipartimento di Ingegneria Civile, Ambientale, del Territorio, Edile e di Chimica, Politecnico di Bari, 70125 Bari, Italy
*
†Email address for correspondence: anna.prati@unibz.it
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Abstract

We study the behaviour of a particle bed immersed in water when a flow generated by an oscillating plate is induced above it. We first consider a rigid plate submerged and oscillated over a particle bed. During upward motion of the plate, a portion of the bed fails, allowing particle displacement, and the bed surface to deform into a heap. We have already determined the flow of the fluid above and within the bed. This work describes the particle motion within the failed region of the bed: when the particles are mobile, they follow the fluid. We depth average the balance of mass and obtain an evolution equation for the displacement of the bed surface. We solve this equation and compare the predictions with the measurements of surface displacement in earlier experiments on rigid square plates. We carry out new experiments to measure the surface displacements under elongated plates. Elongated rigid plates behave similarly to the rigid square ones. Flexible plates produce multiple heaps. We determine that the peaks of these heaps are correlated with the flexural modes of the plates and occur at points along the bed at which the fluid pressure has its extreme values. Different plate flexural modes, resulting in different numbers of heaps, are produced by driving the plate at different frequencies. The particle motion within the bed and heap evolution under a flexible plate can be roughly described by regarding it as two or more rigid plates. We test the predictions of the theory against experiments.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow Granular media: Wet granular material Geophysical and Geological Flows: Sediment transport
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 993 , 25 August 2024 , A16
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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