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Vortex is the most natural phenomenon observed in the universe. It has various industrial and household applications. Interestingly, researchers are now utilizing the knowledge of hydrodynamic vortex flow to develop laboratory-based mimicking models of black hole—analogue black holes. Although it covers various aspects of black holes, the gravitomagnetic effects in the analogue models are yet to be explored. The magnetically modulated vortex created in the magnetizable system can open up a diverse research path in the field of analogue black holes. This motivated us to explore magnetically driven hydrodynamic vortex flow in the magnetizable system. Albeit, researchers have explored the formation of micro-vortices in the magnetic fluid by applying the rotating magnetic field. However, the hydrodynamic vortex formation in the magnetic fluid is yet to be explored. In view of this, the present work focuses on the experimental development of hydrodynamic vortex flow in magnetizable systems by applying continuous rotation of the rare earth magnet. [ABSTRACT FROM AUTHOR]