The effects of flexion and torsion on a fluid flow through a curved pipe (Q5955600)
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scientific article; zbMATH DE number 1705590
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The effects of flexion and torsion on a fluid flow through a curved pipe |
scientific article; zbMATH DE number 1705590 |
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The effects of flexion and torsion on a fluid flow through a curved pipe (English)
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14 February 2002
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The author considers the injection of incompressible viscous fluid in a curved pipe with a smooth central curve. An asymptotic one-dimensional model is obtained via singular perturbation of Navier-Stokes system with vanishing ratio between the cross-section diameter and the pipe length. An asymptotic expansion of the flow field exhibits boundary layers near the ends of the pipe, for which the author derives error estimates.
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flexion
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torsion
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injection
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incompressible viscous fluid
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curved pipe
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central curve
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asymptotic one-dimensional model
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singular perturbation
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Navier-Stokes system
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boundary layers
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error estimates
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