Numerical simulation of turbulent Taylor-Couette flow between conducting cylinders in an axial magnetic field at low magnetic Reynolds number

Abstract

The effect of an axial homogeneous magnetic field on the turbulence in the Taylor-Couette flow confined between two infinitely long conducting cylinders is studied by the direct numerical simulation using a periodic boundary condition in the axial direction. The inner cylinder is rotating, and the outer one is fixed. We consider the case when the magnetic Reynolds number Rem ≪ 1, i.e., the influence of the induced magnetic field on the flow is negligible that is typical for industry and laboratory study of liquid metals. Relevance of the present study is based on the similarity of flow characteristics at moderate and high magnetic field for the cases with periodic and end-wall conditions at the large flow aspect ratio, as proven in the earlier studies. Two sets of Reynolds numbers 4000 and 8000 with several Hartmann numbers varying from 0 to 120 are employed. The results show that the mean radial induced electrical current, resulting from the interaction of axial magnetic field with the mean flow, leads to the transformation of the mean flow and the modification of the turbulent structure. The effect of turbulence suppression is dominating at a strong magnetic field, but before reaching the complete laminarization, we capture the appearance of the hairpin-like structures in the flow.

Mutual coherent structures for heat and angular momentum transport in turbulent Taylor-Couette flows

“…The equation system is solved using the finite difference scheme developed in Ref. [41] and modified for the cylindrical coordinate [33,42,43]. The numerical scheme is a second-order approximation based on the spatial discretization, which is nearly fully conservative with regard to mass, momentum and kinetic energy.…”

Подавление Турбулентности В Течениях С Вращением

“…Интерес к способам снижения интенсивности турбулентности в течениях с вращением вызван возможностью использования таких способов в технологиях обработки жидких металлов и расплавов, в частности при выращивании монокристаллов из жидких расплавов и растворов [7]. В турбулентных течениях с вращением возможности полного устранения турбулентности показаны численно в случае воздействия осевого магнитного поля на цилиндрическое течение Куэтта [8]. В сферическом течении Куэтта, формирующемся под действием вращения коаксиально расположенных сфер, которое рассматривается в настоящей работе, экспериментально показана возможность снижения интенсивности турбулентных пульсаций азимутальной компоненты скорости [9].…”