This research delves into the intricacies of a two-dimensional, steady flow of a ferrofluid within a porous medium, where the thermal conductivity is subject to temperature variations. The study encompasses the influence of magnetic dipoles, radiation, Brownian motion, and thermophoresis phenomena as they interact with a stretching sheet. A novel aspect of this investigation is the detailed analysis of Brownian and thermophoresis effects on nanoparticles while considering Nield’s boundary conditions. The study involves the transformation of flow equations into ordinary differential equations through standard similarity transformations, unraveling the governing equations using the BVP4C method. The outcomes are presented graphically, providing a comprehensive assessment of the factors impacting the fluid properties, including velocity, temperature, and concentration. Notably, this study reveals that an increase in the ferrofluid parameter leads to elevated temperature profiles while causing a decrease in velocity. Furthermore, an increase in the viscosity parameter is associated with a reduction in velocity. Some technological applications of the problem include magnetically controlled actuation and drug targeting.