Forced waves in a bounded basin filled with stratified fluid (Q2754771)
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scientific article; zbMATH DE number 1668404
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Forced waves in a bounded basin filled with stratified fluid |
scientific article; zbMATH DE number 1668404 |
Statements
4 November 2001
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two-layered incompressible inviscid fluid
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interfacial waves
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free-surface waves
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analytic solution
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parabolic depth profile
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gravity force
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Coriolis force
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periodic atmosphere pressure
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density jump
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free baroclinic oscillations
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Forced waves in a bounded basin filled with stratified fluid (English)
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A two-layered incompressible inviscid fluid fills a basin whose width in \(x\) direction is equal to \(2l\), and its depth \(h\) changes according to parabolic law \(h(x) = h_0(1-x^2/l^2)\), \(-l\leq x\leq l\). Interface between the two fluids is also assumed to be parabolic. Both the gravity force and Coriolis force are taken into account. The authors study waves generated at the free surface and at the interface by periodic atmosphere pressure. It is found that, in the presence of density jump, such waves have baroclinic character only in a narrow frequency interval near the frequency of free baroclinic oscillations. In the main part of the interval between resonance frequencies, the wave motion is close to barotropic.
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