This research studies the time-dependent, incompressible, mixed convective flow of a water-based hybrid nanofluid, including Cu and Al2O3 nanoparticles on a cylindrical surface at a stagnation point. The study aims to explore the effects of key physical factors on the flow and heat transfer characteristics under slip and no-slip conditions. Initially, the mathematical model is given as Partial differential (PDEs)and converted to ordinary differential equations (ODEs) with the aid of similarity variables. To solve the modeled equations numerically, the built-in bvp4c MATLAB function is used. Considerations include the impacts of a heat source, aligned magnetic field, mixed convection, Joule heating, and thermal radiation. Furthermore, the flow analysis is presented for both velocity and thermal slip and no-slip conditions. Results indicate that a larger Grashof number and ratio factor improved the velocity profiles, but higher inclination angle, magnetic field, and unsteadiness factors decreased the velocity profiles. The temperature profiles were boosted by the larger values of the Eckert number, magnetic field, inclination angle, heat source, and thermal radiation factors and decreased by the bigger unsteadiness factor. Al2O3-Cu/H2O is shown to have a larger velocity distribution than Al2O3-H2O and Cu-H2O in the no-slip condition. Al2O3-Cu/H2O is shown to have a larger temperature distribution than Al2O3-H2O and Cu-H2O in the no-slip condition. In comparison to slip conditions, the velocity and temperature distributions for no-slip conditions are observed to be larger. The study outcomes have significant applications in cooling systems, energy systems, heat exchangers, and biomedical applications.
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