The behavior of a hybrid nanoparticle consisting of molybdenum disulfide ( \({\text{MoS}}_{2}\) ) and silicon dioxide ( \({\text{SiO}}_{2}\) ) dispersed in a water-based solvent is investigated in the context of magnetohydrodynamics, with a focus on the roles of the Hall effect and a radial magnetic field on its behavior over a vertically stretching cylinder. By using similarity transformations, the nonlinear mathematical equations characterizing the flow model are made dimensionless, offering a more practical and straightforward framework for research. The boundary conditions corresponding to the equations are numerically examined and subsequently coded into MATLAB using the ’bvp4c’ function, which yields the desired solutions. The impact of key parameters on velocity and temperature profiles is illustrated through the graphs, which helps to provide a greater understanding of the underlying physical phenomena. The results show that when the Hall parameter increases, there is a reciprocal drop in temperature and an increase in velocity. In contrast, an increase in the Hartmann number is found to have an opposite effect, resulting in a decline in the velocity profile and a corresponding rise in the temperature profile. Furthermore, the skin friction coefficient and local Nusselt number numerical results are carefully tabulated, which facilitates an in-depth analysis of the information. Notably, our study exhibit strong consistency with previous research under specific conditions, thereby lending credibility to our findings. Additionally, this study has significant practical applications, as hybrid nanofluids enhance heat transfer in aerospace, biomedical, and nuclear systems while improving thermal management in power and refrigeration systems.
