On steady flows with Lamb surfaces (Q1388235)
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scientific article; zbMATH DE number 1162164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On steady flows with Lamb surfaces |
scientific article; zbMATH DE number 1162164 |
Statements
On steady flows with Lamb surfaces (English)
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18 March 1999
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Lamb surfaces, which contain both stream lines and vorticity lines, are shown to exist for any smoothly-deforming continuum whose Eulerian vorticity is steady and is proportional to the \textit{curl} of the acceleration vector. These two conditions are realized in steady flows with material vorticity lines, for which Lamb surfaces provide a complete topological classification in terms of tori and cylinders when the flow domain is bounded.
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geodesics
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Hamilton's equations
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Lamb-Stuart-Mezić-Wiggins equations
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phase plane
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variational principle
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Poincaré-Cartan integral invariant
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stream lines
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vorticity lines
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Eulerian vorticity
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topological classification
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tori
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cylinders
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0.8654278
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0.8653805
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0.8604076
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0.85904527
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0.8588542
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0.8576295
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0.8566386
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0.85613286
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