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Secondary fluid flows driven electromagnetically in a two-dimensional extended duct

Secondary fluid flows driven electromagnetically in a two-dimensional extended duct
Secondary fluid flows driven electromagnetically in a two-dimensional extended duct
This study focuses on two-dimensional fluid flows in a straight duct with free-slip boundary conditions applied on the channel walls y=0 and y=2?N with N>1. In this extended wall-bounded fluid motion problem, secondary fluid flow patterns resulting from steady-state and Hopf bifurcations are examined and shown to be dependent on the choice of longitudinal wave numbers. Some secondary steady-state flows appear at specific wave numbers, whereas at other wave numbers, both secondary steady-state and self-oscillation flows coexist. These results, derived through analytical arguments and truncation series approximation, are confirmed by simple numerical experiments supporting the findings observed from laboratory experiments.
instabilities, two-dimensional fluid motions, steady states, self-oscillations, bifurcations
1364-5021
1659-1683
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c

Chen, Zhi-Min and Price, W.G. (2005) Secondary fluid flows driven electromagnetically in a two-dimensional extended duct. Proceedings of the Royal Society of London A, 461 (2058), 1659-1683. (doi:10.1098/rspa.2005.1454).

Record type: Article

Abstract

This study focuses on two-dimensional fluid flows in a straight duct with free-slip boundary conditions applied on the channel walls y=0 and y=2?N with N>1. In this extended wall-bounded fluid motion problem, secondary fluid flow patterns resulting from steady-state and Hopf bifurcations are examined and shown to be dependent on the choice of longitudinal wave numbers. Some secondary steady-state flows appear at specific wave numbers, whereas at other wave numbers, both secondary steady-state and self-oscillation flows coexist. These results, derived through analytical arguments and truncation series approximation, are confirmed by simple numerical experiments supporting the findings observed from laboratory experiments.

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More information

Published date: 2005
Keywords: instabilities, two-dimensional fluid motions, steady states, self-oscillations, bifurcations

Identifiers

Local EPrints ID: 23646
URI: https://eprints.soton.ac.uk/id/eprint/23646
ISSN: 1364-5021
PURE UUID: 355b736a-215b-41b8-86b5-0670440b5cc5

Catalogue record

Date deposited: 21 Mar 2006
Last modified: 17 Jul 2017 16:16

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