Numerical study of MHD Taylor vortex flow with low magnetic Reynolds number in finite-length annulus under uniform magnetic field

•Spectral-projection method for flow patterns at various strength of magnetic field in finite-length annulus.•Three endwall boundary conditions are considered.•Effects of uniform magnetic field on Taylor vortex structures.

The effects of axial uniform magnetic field on Taylor vortex flow with low magnetic Reynolds number in a concentric finite-length annulus are investigated numerically. The inner cylinder is rotating and the outer one is held at rest. As the endwall effects play a significant role in determining the vortical structure, three endwall conditions are taken into account in present study: all are fixed, all are rotating with the inner cylinder, one is fixed but the other is rotating with the inner cylinder. All the boundaries are assumed to be insulating, and the chosen aspect ratio, the height of the cylinder to the gap width, is moderate Γ = 10, hence the endwall effects and the Taylor vortex can be both considered. The governing equations are solved using collocation spectral method and projection method which allows pressure–velocity decoupling. The flow patterns and developments of vortical structure with different endwall conditions are presented at various strength of axial magnetic field. The effects of axial magnetic field on magnetohydrodynamics flow are discussed.