Figure 2
From: Effects of an imposed axial flow on a Ferrofluidic Taylor-Couette flow
Bifurcation scenarios with \(R{e}_{i}\) for axial and transversal magnetic field. Bifurcation scenarios with the Reynolds number \(R{e}_{i}\) of the inner cylinder rotation (outer cylinder at rest) in (1) axial magnetic field and (2) transverse magnetic field, respectively. Shown are (a) the total (time-averaged for unsteady flow solutions) modal kinetic energy \({\overline{E}}_{kin}\) and (b) the corresponding dominant (time-averaged) mode amplitudes \(|{\overline{u}}_{m,n}|\) of the radial velocity field at mid-gap as indicated [in notation \((m,n)\)]. Different flow structures are labeled and color coded symbols are used in order to identify the structures. Vertical arrows indicate a transition behavior when a flow state loses stability and change to another stable state. Note that the mirror symmetric flow structures of right-winding spirals, R1-SPI and R1-\(wSP{I}_{{H}_{x}}\), exist simultaneously. Two vertical dotted lines indicate \(R{e}_{i}=110\) and \(R{e}_{i}=270\), respectively.
