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This study presents numerical simulations and experiments considering theflow of an electrically conducting fluid inside a cube driven by a rotatingmagnetic field (RMF). The investigations are focused on the spin-up, where aliquid metal (GaInSn) is suddenly exposed to an azimuthal body force generatedby the RMF, and the subsequent flow development. The numerical simulations relyon a semi-analytical expression for the induced electromagnetic force densityin an electrically conducting medium inside a cuboid container with insulatingwalls. Velocity distributions in two perpendicular planes are measured using anovel dual-plane, two-component ultrasound array Doppler velocimeter (UADV)with continuous data streaming, enabling long term measurements forinvestigating transient flows. This approach allows to identify the mainemerging flow modes during the transition from a stable to unstable flowregimes with exponentially growing velocity oscillations using the ProperOrthogonal Decomposition (POD) method.  Characteristic frequencies in the oscillating flow regimes are determined inthe super critical range above the critical magnetic Taylor number $Ta_c\approx 1.26 \times 10^5$, where the transition from the steady double vortexstructure of the secondary flow to an unstable regime with exponentiallygrowing oscillations is detected.  The mean flow structures and the temporal evolution of the flow predicted bythe numerical simulations and observed in experiments are in very goodagreement.

Instabilities and spin-up behaviour of a rotating magnetic field driven flow in a rectangular cavity