Time-Dependent Ferrofluid Dynamics in Symmetry Breaking Transverse

Sebastian Altmeyer

Max-Planck-Institute for Dynamics and Self-Organization, G?ttingen, Germany.

DOI: 10.4236/ojfd.2013.32015                

Abstract

We investigate the Taylor-Couette flow of a rotating ferrofluid under the influence of symmetry breaking transverse magnetic field in counter-rotating small-aspect-ratio setup. We find only changing the magnetic field strength can drive the dynamics from time-periodic limit-cycle solution to time-independent steady fixed-point solution and vice versa. Thereby both solutions exist in symmetry related offering mode-two symmetry with left-or right-winding characteristics due to finite transverse magnetic field. Furthermore the time-periodic limit-cycle solutions offer alternately stroboscoping both helical left-and right-winding contributions of mode-two symmetry. The Navier-Stokes equations are solved with a second order time splitting method combined with spatial discretization of hybrid finite difference and Galerkin method.

Keywords

Taylor-Couette Flow; Ferrofluids; Reynolds Number; Symmetry Breaking; Rotating System and Boundary Layer

Conflicts of Interest

The authors declare no conflicts of interest.

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