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The current study explores the magnetohydrodynamic flow and heat transport enhancement due to convection in a ferrofluid stream across a permeable vertical plate with thermal radiation, thermal diffusion, and a magnetic field. This examination considers the suspension of magnetite and cobalt ferrite nanoparticles in water as a base liquid. Strong magnetic capabilities are exhibited by cobalt ferrite and magnetite nanoparticles, which makes them attractive options for uses requiring magnetic manipulation of liquid flows. Understanding the relationship between the fluid flow and external magnetic fields requires the ability to regulate and modulate the fluid behaviour, which is made possible by the existence of a magnetic field in the system. Understanding the trajectory of drug-loaded particles and enhancing targeting efficiency need a knowledge of how ferrofluid flow behaves when subjected to an external magnetic field. The modelling equations are transformed into dimensionless form and solutions for flow and thermal fields are attained by applying the regular perturbation method. The outcome of physical factors on the flow and derived quantities has been introduced as tables and graphs. The heat transfer rate of magnetite is higher than that of cobalt ferrite due to the large thermal conductivity of magnetite particles. The thickness of the fluid increases by increasing the Grashof number.