<p>The advancements in thermal engineering have led to the development of hybrid nanomaterials, offering highest thermal performances in contrast to conventional materials. Owing to enhanced thermal features, the hybrid nanofluids confirm applications in aerospace engineering, advanced energy systems, industrial thermal management and biomedical sector. The consideration of radiated effects in the utilization of hybrid nanofluids is crucial for biomedical applications in hyperthermia treatment, targeted delivery systems, and cancer therapy. This investigation seeks thermal performances of the energetic behaviour of a specific hybrid nanofluid subject to additional electromagnetic forces, viscous dissipation, thermal radiations and an unanticipated compression slope. The hybrid nanofluid thermal aspects are represented with the combination of cerium oxide (CeO₂) and platinum (Pt) with water (H₂O). For considered flow state, time-dependent partial difference equations provide an appropriate model. The solution methodology is based on the famous analytical scheme (variation of parameters method). Assumed study investigates how the model's behavior and outcomes are impacted by its key parameters. According to the results, an intensification trend adjusted Hartmann number considerably increases fluid velocity in the Riga channel. Comparative thermal analysis for mono nanofluid and hybrid nanofluid has been performed. When comparing the hybrid nanofluid to the pure nanofluid, the fluid temperature stays continuously lower in the former. Moreover, for assumed fluids, shear stress at the Riga wall is reduced by thickening the conductors and electromagnets.</p>