Numerical study of electromagnetically controlled Carreau nanofluid stagnation point flow over a stretchable surface in Darcy–Forchheimer porous medium

Abstract The present study delves into the intricate dynamics of electromagnetohydrodynamic stagnation point flow of Carreau nanofluid along a stretching surface, exploring the influence of mixed convection in a Darcy–Forchheimer porous medium. Heat source/sink effects and nonlinear thermal radiation are both included in the energy equation. Moreover, the Arrhenius activation energy mechanism is taken into consideration by the concentration equation. The governing nonlinear equations are reduced to a dimensionless set of ordinary differential equations by similarity transformations. After that, these equations are numerically resolved by combining a shooting methodology with the Runge–Kutta–Fehlberg method (RKF‐45). In order to demonstrate the various physical parameters that affect velocity, temperature, and concentration profiles, the numerical results are displayed through graphs and tables. Furthermore, heat and mass fluxes, as well as wall shear stress, are discussed in detail. Numerical findings were given via graphs and tables for various intervals of the physical variables involved for velocity, temperature, and concentration profiles. In addition to this, the wall shear stress, heat, and mass fluxes are discussed. It is inferred from the graphs that the temperature and velocity curves are boosting functions of the electric parameter. It is also found that the heat transport rate and thermal distribution are escalating functions for higher energy ratio variables. The concentration profile outline is a declining function for the Schmidt number, but the inverse pattern is observed for the mass transfer rates. According to the findings, this method is more reliable than the previously released statistics. The findings of this work provide useful information for advanced industrial and engineering applications, such as polymer processing, cooling technologies, and material production, where non‐Newtonian nanofluids in porous structures are commonly encountered.