Chaotic advection in bounded Navier-Stokes flows (Q2710583)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chaotic advection in bounded Navier-Stokes flows |
scientific article |
Statements
15 September 2002
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mixing
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transport
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three-dimensional steady Navier-Stokes flows
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no-slip boundary condition
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chaotic regions
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rotating frame
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Melnikov type analysis
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vortex-breakdown flow
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boundary layer
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wavy vortex flows
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Taylor-Couette apparatus
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Chaotic advection in bounded Navier-Stokes flows (English)
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The author considers mixing and transport in three-dimensional steady Navier-Stokes flows with no-slip boundary condition. It is shown that, in general, the size of chaotic regions in two-dimensional unsteady and three-dimensional Navier-Stokes flows in rotating frame decrease with the increase in the Reynolds number, when no instabilities are present. The prediction is based on a Melnikov type analysis and on boundary-layer techniques through which the flow is split into an integrable and a small non-integrable part. The theory is developed in detail for the vortex-breakdown-type flow, for which separating surfaces do not intersect the boundary layer. Mass transport in wavy vortex flows in a Taylor-Couette apparatus is discussed, too.
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