Harmonic instability of the free surface of a low-viscous liquid in a vertically oscillating vessel (Q2761282)
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scientific article; zbMATH DE number 1683337
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic instability of the free surface of a low-viscous liquid in a vertically oscillating vessel |
scientific article; zbMATH DE number 1683337 |
Statements
18 December 2001
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vertically oscillating vessel
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harmonic instability
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perturbation growth
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viscous incompressible fluid
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standing wave
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boundary layer
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Krylov-Bogolyubov averaging method
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Harmonic instability of the free surface of a low-viscous liquid in a vertically oscillating vessel (English)
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The authors study vertical harmonic oscillations of a vessel with viscous incompressible fluid with free surface. At the initial instant, a perturbation occurs in the fluid in the form of a standing wave with infinitely small amplitude and with a frequency close to the vessel oscillation frequency. Using the idea of boundary layer and Krylov-Bogolyubov averaging method, the authors establish conditions under which the initial perturbation grows with time. This phenomenon is known as harmonic instability.
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