Abstract
The trapped modes which can occur in a long narrow wave channel
containing any
number of different-sized bottom-mounted circular cylinders arbitrarily
spaced along
the centreline of the channel are considered. The modes, all of which are
antisymmetric
with respect to the centreplane of the channel are of two types: Neumann
modes,
in which the fluid has normal velocity zero on the channel walls corresponding
to
a localized sloshing near the cylinders, and Dirichlet modes, in which
the dynamic
pressure vanishes on the channel walls. These latter modes have no physical
meaning
in the water-wave context but have been observed in a related acoustic
context where
the same governing equations and boundary conditions apply.It is shown that in general there are [les ]N trapped modes
for any
configuration
of N cylinders, the precise number depending critically on the
geometry
of the
configuration. Both types are of importance in predicting the exciting
forces on
individual cylinders within a large but finite periodic arrangement of
cylinders.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
69 articles.
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