Resonant and chaotic advection in a curved pipe
type: Item
instance of: scholarly article
title: Resonant and chaotic advection in a curved pipe
zbMATH Open document ID: 0827.76014
DOI: 10.1016/0960-0779(94)90133-3
author: Peter E. Hydon
published in: Chaos, Solitons and Fractals
publication date: 1995-05-23T00:00:00Z
review text: 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.
reviewed by: Iuliana Oprea
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 758055
zbMATH Keywords: Lagrangian dynamics
zbMATH Keywords: periodic longitudinal pressure gradient
zbMATH Keywords: quasi- steady flow
zbMATH Keywords: Poincaré section
zbMATH Keywords: molecular diffusion
MaRDI profile type: Publication
full work available at URL: 0960-0779(94)90133-3
OpenAlex ID: W2087476578
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description: scientific article; zbMATH DE number 758055