Theoretical study on the bifurcation of vortex structure for flow in curved tube (Q5932093)
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scientific article; zbMATH DE number 1595236
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theoretical study on the bifurcation of vortex structure for flow in curved tube |
scientific article; zbMATH DE number 1595236 |
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Theoretical study on the bifurcation of vortex structure for flow in curved tube (English)
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16 July 2001
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The authors analyze the distribution of singular points and stability of a symmetric flow through a curved tube. A theoretical criterion for the destabilization of flow structure is given as the number of vortices in the secondary flow changes from 2 to 4. Using Galerkin and perturbation methods, the authors obtain the critical Dean number for bifurcation, and give semi-analytical expressions for stream function and axial velocity. The results obtained are consistent with experimental data.
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curved tube
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vortex structure
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bifurcation
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Galerkin technique.
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singular points
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stability
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symmetric flow
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perturbation methods
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critical Dean number
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stream function
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axial velocity
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