English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Sloshing eigenvalues and eigenfunctions are studied for vertical cylinders ofconstant, finite depth occupied by a two-layer fluid. Two families ofeigenfrequencies are obtained in the form expressing them explicitly via theeigenvalues of the Neumann Laplacian in the two-dimensional domain\, --\,cylinder's cross-section. Eigenfrequencies belonging to one of the familiesbehave similar to those that describe sloshing in a homogeneous fluid, whereasthe other family includes a large number of sufficiently small frequenciesprovided the ratio of densities is close to unity. Various properties ofeigenfrequencies are investigated for cylinders of arbitrary cross-section;they include the dependence on the interface depth and the ratio of densities,the asymptotics of the eigenvalue counting function. The behaviour ofeigenvalues and the corresponding eigenmodes is illustrated by numericalexamples for circular cylinders without and with a radial baffle.

Sloshing of a two-layer fluid in a vertical cylinder of constant depth