Free oscillations of a thin fluid layer of finite electric conductivity under the action of an external magnetic field (Q2714042)
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scientific article; zbMATH DE number 1603308
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Free oscillations of a thin fluid layer of finite electric conductivity under the action of an external magnetic field |
scientific article; zbMATH DE number 1603308 |
Statements
10 June 2001
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three-layer model
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integrodifferential Fredholm equation
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asymptotic formulas
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surface and internal MHD waves
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high-frequency gravitational surface waves
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low-frequency electromagnetic surface waves
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Free oscillations of a thin fluid layer of finite electric conductivity under the action of an external magnetic field (English)
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The problem of free oscillations of a thin layer of a heavy, incompressible, inviscid fluid of finite electrical conductivity in a horizontal magnetic field is reduced to a system of integrodifferential Fredholm equations with variable coefficients. A numerical analysis is performed over a broad range of input parameters, and the results obtained are supplemented with asymptotic formulas with large and small magnetic Reynolds numbers. A classification of the resultant wave modes is proposed. It is shown that certain conditions can lead to the occurrence of unstable oscillations of the fluid layer that grow in time.
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