Ferrofluidic Couette flow in time-varying magnetic field

Despite time-dependent boundary conditions being ubiquitous in natural and industrial flows, to date the influence of such temporal modulations (e.g. with driving frequency O_H) has been given minor attention. The present problem addresses ferrofluidic Couette flow in between counter-rotating cylind...

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Bibliographic Details
Author: Altmeyer, Sebastian Andreas|||0000-0001-5964-0203
Format: article
Publication Date:2022
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/371817
Online Access:https://hdl.handle.net/2117/371817
https://dx.doi.org/10.1016/j.jmmm.2022.169205
Access Level:Open access
Keyword:Taylor vortices
Magnetic fluids
Nonlinear systems
Taylor-Couette flow
Ferrofluid
Time-varying magnetic fields
Non-linear dynamics
Instabilities
Bifurcation theory
Vòrtexs de Taylor
Sistemes no lineals
Àrees temàtiques de la UPC::Física
Description
Summary:Despite time-dependent boundary conditions being ubiquitous in natural and industrial flows, to date the influence of such temporal modulations (e.g. with driving frequency O_H) has been given minor attention. The present problem addresses ferrofluidic Couette flow in between counter-rotating cylinders in a spatially homogeneous magnetic field subject to time-periodic modulation. Such a modulation can lead to a significant inner Reynolds number (Re_i) enhancement for both, either helical and toroidal flow structures. Using a modified Niklas approximation, the effect of low- and high-frequency modulation onto the primary instabilities, stability boundaries as well as on the non-linear oscillations that may occur is investigated. Focusing on bi-stable co-existing solutions, around their stability thresholds quite complex non-linear system response and flow dynamics is detected. For the system remaining supercritical always a single solution is selected by O_H, while crossing the bifurcation thresholds within a modulation period the triggered system response is more complex, reaching from alternation between different solutions towards the appearance of intermittent behavior.