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Time-Dependent Ferrofluid Dynamics in Symmetry Breaking Transverse

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DOI: 10.4236/ojfd.2013.32015    3,483 Downloads   5,228 Views Citations


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.

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S. Altmeyer, "Time-Dependent Ferrofluid Dynamics in Symmetry Breaking Transverse," Open Journal of Fluid Dynamics, Vol. 3 No. 2, 2013, pp. 116-126. doi: 10.4236/ojfd.2013.32015.

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