The University of Southampton
University of Southampton Institutional Repository

Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: wall-bounded flows

Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: wall-bounded flows
Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: wall-bounded flows
An instability analysis of two-dimensional liquid-metal flows in a straight duct with free-slip boundary condition applied on the walls y = 0 and y = 2~ is conducted. The basic flow under examination is a Kolmogorov flow and it is driven by a transverse magnetic field interacting with an electric current supplied by lines of electrodes positioned in the bottom of the duct. It is proved by a rigorous theoretical analysis that all the secondary flows transitional from the basic flow are self-oscillations and that some secondary flows only arise when the Reynolds number R passes through a critical value Rc. That is, the instabilities are analytically proved to be supercritical Hopf bifurcations. Simple numerical predictions confirm the theoretical analysis.
instabilities, two-dimensional fluid motions, self-oscillations
1364-5021
2735-2757
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. (2002) Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: wall-bounded flows. Proceedings of the Royal Society A, 458 (2027), 2735-2757. (doi:10.1098/rspa.2002.1002).

Record type: Article

Abstract

An instability analysis of two-dimensional liquid-metal flows in a straight duct with free-slip boundary condition applied on the walls y = 0 and y = 2~ is conducted. The basic flow under examination is a Kolmogorov flow and it is driven by a transverse magnetic field interacting with an electric current supplied by lines of electrodes positioned in the bottom of the duct. It is proved by a rigorous theoretical analysis that all the secondary flows transitional from the basic flow are self-oscillations and that some secondary flows only arise when the Reynolds number R passes through a critical value Rc. That is, the instabilities are analytically proved to be supercritical Hopf bifurcations. Simple numerical predictions confirm the theoretical analysis.

Full text not available from this repository.

More information

Published date: 2002
Keywords: instabilities, two-dimensional fluid motions, self-oscillations

Identifiers

Local EPrints ID: 23651
URI: http://eprints.soton.ac.uk/id/eprint/23651
ISSN: 1364-5021
PURE UUID: 06f28be9-11a1-4bac-9fc6-032f590c4bee

Catalogue record

Date deposited: 28 Mar 2006
Last modified: 15 Jul 2019 19:19

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×