Controlling Sedimentation in Magnetorheological Fluids Through Ultrasound–Magnetic Field Coupling: Multiscale Analysis and Applications

Annunziata Palumbo and Mario Versaci ()
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Annunziata Palumbo: MIFT Department, University of Messina, Viale F. d’Alcontres 31, I-98166 Messina, Italy
Mario Versaci: DICEAM Department, Mediterranea University, Via Zehender (ex Via Graziella Feo di Vito), I-89122 Reggio Calabria, Italy

Mathematics, 2025, vol. 13, issue 15, 1-55

Abstract: Magnetorheological fluids (MRFs) are multiphase materials whose viscosity can be controlled via magnetic fields. However, particle sedimentation undermines their long-term stability. This review examines stabilization strategies based on the interaction between ultrasonic waves and time-varying magnetic fields, analyzed through advanced mathematical models. The propagation of acoustic waves in spherical and cylindrical domains is studied, including effects such as cavitation, acoustic radiation forces, and viscous attenuation. The Biot–Stoll poroelastic model is employed to describe saturated granular media, while magnetic field modulation is investigated as a means to balance gravitational settling. The analysis highlights how acousto-magnetic coupling supports the design of programmable and self-stabilizing intelligent fluids for complex applications.

Keywords: magnetorheological fluids; acousto-magnetic coupling; particle sedimentation; poroelastic modeling; ultrasound stabilization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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