On sloshing in containers with porous baffles

Fuente: arXiv
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Autori principali: Kuznetsov, Nikolay, Motygin, Oleg
Natura: Preprint
Pubblicazione: 2025
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author Kuznetsov, Nikolay
Motygin, Oleg
author_facet Kuznetsov, Nikolay
Motygin, Oleg
contents Sloshing eigenvalues are studied for containers with porous baffles extending throughout the constant (possibly infinite) depth. The fluid transmission across the baffles is described by Darcy's law, and so the spectral problem is nonself-adjoint. In particular, much attention is paid to vertical cylinders with circular walls and radial baffles. Explicit solutions are obtained, whose crucial feature is that the corresponding pressure difference vanishes across the baffle. These real solutions coincide with those that describe sloshing in the presence of rigid baffles, thus demonstrating that at certain frequencies the damping efficiency of porous baffles is the same as that of the rigid ones having the same configuration.
format Preprint
id arxiv_https___arxiv_org_abs_2504_10505
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On sloshing in containers with porous baffles
Kuznetsov, Nikolay
Motygin, Oleg
Fluid Dynamics
Sloshing eigenvalues are studied for containers with porous baffles extending throughout the constant (possibly infinite) depth. The fluid transmission across the baffles is described by Darcy's law, and so the spectral problem is nonself-adjoint. In particular, much attention is paid to vertical cylinders with circular walls and radial baffles. Explicit solutions are obtained, whose crucial feature is that the corresponding pressure difference vanishes across the baffle. These real solutions coincide with those that describe sloshing in the presence of rigid baffles, thus demonstrating that at certain frequencies the damping efficiency of porous baffles is the same as that of the rigid ones having the same configuration.
title On sloshing in containers with porous baffles
topic Fluid Dynamics
url https://arxiv.org/abs/2504.10505