Abstract

We investigate fundamental nonlinear dynamics of ferrofluidic Taylor-Couette flow - flow confined be-tween two concentric independently rotating cylinders - consider small aspect ratio by solving the ferro-hydrodynamical equations, carrying out systematic bifurcation analysis. Without magnetic field, we find steady flow patterns, previously observed with a simple fluid, such as those containing normal one- or two vortex cells, as well as anomalous one-cell and twin-cell flow states. However, when a symmetry-breaking transverse magnetic field is present, all flow states exhibit stimulated, finite two-fold mode. Various bifurcations between steady and unsteady states can occur, corresponding to the transitions between the two-cell and one-cell states. While unsteady, axially oscillating flow states can arise, we also detect the emergence of new unsteady flow states. In particular, we uncover two new states: one contains only the azimuthally oscillating solution in the configuration of the twin-cell flow state, and an-other a rotating flow state. Topologically, these flow states are a limit cycle and a quasiperiodic solution on a two-torus, respectively. Emergence of new flow states in addition to observed ones with classical fluid, indicates that richer but potentially more controllable dynamics in ferrofluidic flows, as such flow states depend on the external magnetic field.

Original languageEnglish (US)
Article number40012
JournalScientific Reports
Volume7
DOIs
StatePublished - Jan 6 2017

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aspect ratio
cells
magnetic fields
oscillating flow
unsteady state
rotating cylinders
Couette flow
fluids
unsteady flow
steady flow
broken symmetry
flow distribution
vortices
cycles
configurations

ASJC Scopus subject areas

  • General

Cite this

Dynamics of ferrofluidic flow in the Taylor-Couette system with a small aspect ratio. / Altmeyer, Sebastian; Do, Younghae; Lai, Ying-Cheng.

In: Scientific Reports, Vol. 7, 40012, 06.01.2017.

Research output: Contribution to journalArticle

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