Fractional HAM analysis of ternary hybrid nanofluid flow and heat transfer over a magnetized moving plate

This study investigates the laminar flow and heat transfer of a ternary hybrid nanofluid over a moving plate under the influence of a perpendicular magnetic field, addressing the limited research on fractional-order modeling of such systems. Novelty arises from employing a generalized non-Fourier heat conduction model and a fractional stress framework to capture anomalous heat transfer beyond classical descriptions. Results show that the velocity ratio strongly influences near-wall shear stress, while the Hartmann number serves as an effective control parameter for regulating velocity and temperature profiles. Increasing the thermal source/sink parameter from 0.1 to 0.2 raises the temperature profile by 25.52%, while raising the Hartmann number from 0.5 to 1 enhances the velocity profile by 3.89%. The nanoparticle volume fraction improves thermal performance, whereas base fluid variations primarily affect temperature distribution. The inclusion of the fractional parameter β provides a more accurate representation of nonlocal thermal effects, establishing the key physical contribution of this work. These insights highlight the potential of ternary hybrid nanofluids with fractional-order modeling for applications in energy storage, electronic cooling, and advanced thermal management systems.