---
_id: '519'
abstract:
- lang: eng
text: 'This study treats with the influence of a symmetry-breaking transversal magnetic
field on the nonlinear dynamics of ferrofluidic Taylor-Couette flow – flow confined
between two concentric independently rotating cylinders. We detected alternating
‘flip’ solutions which are flow states featuring typical characteristics of slow-fast-dynamics
in dynamical systems. The flip corresponds to a temporal change in the axial wavenumber
and we find them to appear either as pure 2-fold axisymmetric (due to the symmetry-breaking
nature of the applied transversal magnetic field) or involving non-axisymmetric,
helical modes in its interim solution. The latter ones show features of typical
ribbon solutions. In any case the flip solutions have a preferential first axial
wavenumber which corresponds to the more stable state (slow dynamics) and second
axial wavenumber, corresponding to the short appearing more unstable state (fast
dynamics). However, in both cases the flip time grows exponential with increasing
the magnetic field strength before the flip solutions, living on 2-tori invariant
manifolds, cease to exist, with lifetime going to infinity. Further we show that
ferrofluidic flow turbulence differ from the classical, ordinary (usually at high
Reynolds number) turbulence. The applied magnetic field hinders the free motion
of ferrofluid partials and therefore smoothen typical turbulent quantities and
features so that speaking of mildly chaotic dynamics seems to be a more appropriate
expression for the observed motion. '
acknowledgement: S.Altmeyer is a Serra Húnter Fellow
article_processing_charge: No
article_type: original
author:
- first_name: Sebastian
full_name: Altmeyer, Sebastian
id: 2EE67FDC-F248-11E8-B48F-1D18A9856A87
last_name: Altmeyer
orcid: 0000-0001-5964-0203
citation:
ama: Altmeyer S. Non-linear dynamics and alternating ‘flip’ solutions in ferrofluidic
Taylor-Couette flow. Journal of Magnetism and Magnetic Materials. 2018;452:427-441.
doi:10.1016/j.jmmm.2017.12.073
apa: Altmeyer, S. (2018). Non-linear dynamics and alternating ‘flip’ solutions in
ferrofluidic Taylor-Couette flow. Journal of Magnetism and Magnetic Materials.
Elsevier. https://doi.org/10.1016/j.jmmm.2017.12.073
chicago: Altmeyer, Sebastian. “Non-Linear Dynamics and Alternating ‘Flip’ Solutions
in Ferrofluidic Taylor-Couette Flow.” Journal of Magnetism and Magnetic Materials.
Elsevier, 2018. https://doi.org/10.1016/j.jmmm.2017.12.073.
ieee: S. Altmeyer, “Non-linear dynamics and alternating ‘flip’ solutions in ferrofluidic
Taylor-Couette flow,” Journal of Magnetism and Magnetic Materials, vol.
452. Elsevier, pp. 427–441, 2018.
ista: Altmeyer S. 2018. Non-linear dynamics and alternating ‘flip’ solutions in
ferrofluidic Taylor-Couette flow. Journal of Magnetism and Magnetic Materials.
452, 427–441.
mla: Altmeyer, Sebastian. “Non-Linear Dynamics and Alternating ‘Flip’ Solutions
in Ferrofluidic Taylor-Couette Flow.” Journal of Magnetism and Magnetic Materials,
vol. 452, Elsevier, 2018, pp. 427–41, doi:10.1016/j.jmmm.2017.12.073.
short: S. Altmeyer, Journal of Magnetism and Magnetic Materials 452 (2018) 427–441.
date_created: 2018-12-11T11:46:56Z
date_published: 2018-04-15T00:00:00Z
date_updated: 2023-09-13T09:03:44Z
day: '15'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1016/j.jmmm.2017.12.073
external_id:
isi:
- '000425547700061'
file:
- access_level: open_access
checksum: 431f5cd4a628d7ca21161f82b14ccb4f
content_type: application/pdf
creator: dernst
date_created: 2020-05-14T14:41:17Z
date_updated: 2020-07-14T12:46:37Z
file_id: '7838'
file_name: 2018_Magnetism_Altmeyer.pdf
file_size: 17309535
relation: main_file
file_date_updated: 2020-07-14T12:46:37Z
has_accepted_license: '1'
intvolume: ' 452'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Submitted Version
page: 427 - 441
publication: Journal of Magnetism and Magnetic Materials
publication_status: published
publisher: Elsevier
publist_id: '7297'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Non-linear dynamics and alternating ‘flip’ solutions in ferrofluidic Taylor-Couette
flow
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 452
year: '2018'
...