S. Altmeyer, J. Lopez and Y. Do, “Influence of an Inhomogeneous Internal Magnetic Field on the Flow Dynamics of Ferrofluid between Differentially Rotating Cylinders,” Physical Review E, Vol. 85, No. 6, 2012, Article ID: 066314. doi:10.1103/PhysRevE.85.066314

has been cited by the following article:

• TITLE: Time-Dependent Ferrofluid Dynamics in Symmetry Breaking Transverse

  AUTHORS: Sebastian Altmeyer

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

  JOURNAL NAME: Open Journal of Fluid Dynamics, Vol.3 No.2, June 26, 2013

  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.