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Resonant and chaotic advection in a curved pipe - MaRDI portal

Resonant and chaotic advection in a curved pipe (Q1890844)

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scientific article; zbMATH DE number 758055
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Resonant and chaotic advection in a curved pipe
scientific article; zbMATH DE number 758055

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    Resonant and chaotic advection in a curved pipe (English)
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    23 May 1995
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    The Lagrangian dynamics of fluid particles in a curved pipe driven by a periodic longitudinal pressure gradient is analyzed, and the quasi-steady flow of the resulting Hamiltonian system is studied. It is shown, using the Poincaré section, that the set of all trajectories involved in the resonant transport has non-zero measure. The main effects of molecular diffusion at large Péclet numbers are also discussed.
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    Lagrangian dynamics
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    periodic longitudinal pressure gradient
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    quasi- steady flow
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    Poincaré section
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    molecular diffusion
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