Magnetohydrodynamic Taylor-Couette flow at periodic and Hartmann wall conditions

X. Y. Leng^{1, 2} - D. Krasnov² - Yu. Kolesnikov² - B. W. Li³

¹ Key Laboratory of National Education Ministry for Electromagnetic Processing of Materials, Northeastern University, Shenyang, China
² Institute of Thermodynamics and Fluid Mechanics, Ilmenau University of Technology, Ilmenau, Germany
³ Institute of Thermal Engineering, School of Energy and Power Engineering, Dalian University of Technology, Dalian, China

Abstract
A study of turbulent Taylor-Couette flow between two cylinders in the presence of a uniform axial magnetic field is presented. The flow is driven by the rotating inner cylinder, and the outer cylinder is set to be fixed. Applying fully-3D numerical simulations in the approximation of low magnetic Reynolds number, the influence of the magnetic field on the turbulence intensity and structure is investigated with a variation of the Hartmann number. In the first part, periodic boundary conditions in the axial direction are taken into account that means no Hartmann layer formation. However, due to the high aspect ratio, the flow behavior can present a simplified version close to the real flow. In the second part, this study is compared with a study, where the Hartmann end-walls perpendicular to the magnetic field are introduced so that the flow is confined by the bottom and upper boundaries. In particular, the effects of the Hartmann walls and periodic condition on the process of generation and dissipation of turbulence under the magnetic field influence are compared. Figs 5, Refs 11.