<p>A thorough analysis of the use of double particle hybrid nanoliquid across a single rotating disk in heat transfer advancements has been presented in the current investigation. Despite studies on nanofluid transfer, limited attention has been given to the joint effects of buoyancy, ohmic heating, radiation, and slip boundary conditions in hybrid nanofluid flow over a rotating permeable disk. This gap constrains the optimization of rotating thermal devices widely applied in energy, cooling, and manufacturing systems. Novelty in the current examination is to consider the properties of water flow when Cu, MOS₂ nanoparticles are added. Furthermore, thermal features of the topical flow are anticipated under the impacts of radiating flux, viscous, and heat dissipation features have been analyzed. Suitable similarity transformations are applied to associated boundary conditions and model equations of PDEs (Partial Differential Equations) that are transformed into dimensionless nonlinear ODEs (Ordinary Differential Equations). The finite element method is implemented in MATLAB to produce informative numerical results. The outcomes are displayed in graphical illustrations and tables for further discussion. Furthermore, wall drag force and heat gradient are analyzed utilizing 3D surface plots. It is noted that buoyancy-driven effects, controlled by the thermal Grashof number, boosted radial flow and thermal layer, signifying strong coupling between gravitational force and induced nanoparticle thermal gradient. The MHD effect, coupled with Joule and Joule heating, played a vital role in controlling temperature distributions, prompting localized thermal strengthening near the rotating surface. Thermal enrichment was pointedly improved by the hybrid nanoparticle composition, with the hybrid performing better than mono-nanofluids due to its higher thermal conductivity and energy absorption capability.</p>