<p>In modern eons, improving the thermal conductivity of conventional liquids has become a significant challenge in various nanotechnology applications. The present study tackles this issue by investigating how nanolayers contribute to enhancing the heat transfer capability of base fluids. For this, we considered the flow over a curved stagnation region and suspended the base liquid with sphere and cylinder-shaped magnetite (Fe₃O₄) nanoparticles. To calculate the augmented thermal conductivity, we considered the nanolayer formed around the sphere and cylinder-shaped nanometer-sized particles and discussed it in detail with the help of simultaneous outcomes. We also considered the magnetic field, radiative, Ohmic heating, and uneven temperature sink/source effects for physical relevance and modeled the problem accordingly. The computational outcomes of flow and thermal fields are obtained using the bvp5c MATLAB technique. The nanolayer formed around the nanoparticles has a significant impact on the momentum and thermal boundary layers. Additionally, the nanolayer formed around spherical-shaped nanoparticles exhibited a significant increase in the heat transport rate compared to that formed around cylindrical-shaped nanoparticles. This study applies to solar energy generation through nano-coating.</p>