<p>Fluid dynamics research in the context of Hiemenz stagnation point flow on a stretched surface is critical owing to its widespread applicability in numerous industrial and technical industries. The proposed research aims to investigate the stagnation point nanofluid flow on a stretched surface. The formation of nanofluid composites involves dissolving single-wall and multi-wall carbon nanotubes as nanoparticles in base fluid water. The consideration of these nanoparticles to the base fluid will have a significant influence on the heat transfer rate of the emergent nanofluid. The assumption of boundary layer nanofluid flow simplifies the emergent mass, energy, and momentum conservation mathematical equations. A dimensionless system has been obtained from the governing partial differential equations and their related boundary conditions by using similarity transformations. In this case, the highly nonlinear transformed system is resolved using the built-in MATLAB function bvp4c. The physical consequences of developing dimensionless parameters on the velocity and thermal profiles of the nanofluids under consideration are thoroughly investigated and explored. The skin friction coefficient and Nusselt number are additionally computed on the stretching surface. The Nusselt number is augmented by rising the concentration of nanoparticles and thermal radiation parameters. The nanofluid thermal profile exhibits enhancement with rising nanoparticle concentration and radiation parameters. Moreover, fluid velocity decreases with an increase in Hartmann number. The present research is also compared to prior published research in order to corroborate the reported results. An outstanding agreement has been obtained in this regard. Researchers examining nanofluid flows under various assumptions should find this work to be a useful resource for crucial information on the deployment of revolutionary heat transfer devices in future.</p>