Time-Dependent Ferrofluid Dynamics in Symmetry Breaking Transverse

• 作者: Sebastian Altmeyer
• 来源期刊: 流体动力学(英文)
• 学科: 数学
• 关键词: Taylor-Couette Flow FERROFLUIDS REYNOLDS Number Symmetry Breaking Rotating System and Boundary Layer
• 年，卷（期）: 2013,（2）
• 页码范围: 116-126
• 页数: 11页
• 分类号: O1

摘要

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.