On the unsteady flow over a rotating and vertically moving disc, the synchronous effects of magnetic polarization force, medium permeability, and vertical upward movement of the disc are investigated. The velocity distribution and heat transfer enhancement are influenced by magnetic polarization force, medium permeability, Eckert number, and disc overheating. The magnetization force, on the other hand, has a substantial impact on the system’s entropy generating rate. For varied ranges of disc movement expansion/contraction parameter, ferromagnetic interaction number, medium permeability parameter, and Prandtl number, the stress and local heat transfer rate on the disc are quantitatively shown. The local heat transfer rate is enhanced by a higher range medium permeability parameter and ferromagnetic interaction number.