Propagating vortices in ferrofluidic Couette flow under magnetic fields – Part II: Oblique orientated fields

This work provides a numerical investigations of propagating vortex flow states (pVs) for ferrofluidic Couette with small aspect ratio and fixed non-rotating end-walls. The system is subjected to oblique magnetic fields as superposition axial transverse orientated fields. Such field configuration breaks the basic symmetries renders all structures be inherently three-dimensional complexer dynamics. Under pV are not direct present at onset. Instead oscillating (oVs) bifurcate out stationary state. Basically these oVs hold same pVs, which eventually evolve in smooth transformation oVs. pVs under appear periodic or quasi-periodic, render them topological speaking exist on either two- one-dimensional invariant manifolds 2-torus limit cycle (1-torus) solutions, respectively. In detail, structural modifications changes spatial temporal behavior solutions studied changing strength applied field.