The distinction of instability and turbu

The comparative study of turbulence in rotating flow under a uniform axial magnetic field is considered. Two different systems of Taylor-Couette flow (TCF) and electrically driven flow (EDF) are analyzed in the same annulus geometry using fully-3D numerical simulations. The approximation of low magnetic Reynolds number, corresponding to liquid metal flows, is utilized. In TCF, the shear flow is driven by the inner cylinder, whereas the EDF is propelled by the mean Lorentz force, which is the product of the applied field and electric currents injected in the radial direction. This arrangement mimics pressure-driven flows. Notably, despite the similar geometry, the mechanisms generating shear and turbulence differ between the two flows, alongside the potential contributions from mean Taylor-Couette motion and vortex flow in EDF. It is observed that the contributions of mean flow in TCF are significantly larger than in EDF, with the latter's mean motion exerting minimal influence on turbulence. In both flows, the azimuthal and axial velocity fluctuations near the wall are more pronounced than those in the middle region.