Investigating the behaviour of electro-magneto-hydrodynamic Carreau nanofluid flow with slip effects over a stretching cylinder

Abstract This study primary focus to analyses the slip flow of electro-magneto-hydrodynamic (EMHD) Carreau nanofluid across a stretching cylinder in the context of Arrhenius activation energy, chemical reactions, and variable thermal conductivity within a porous medium. To observe the effects of Brownian motion and thermophoresis, which are critical in nanofluid dynamics, Buongiorno’s model is employed. Also, the effects of changing EMHD forces on fluid flow dynamics are investigated. Due to the strong Lorentz force that is produced when electric and magnetic fields interact, it is crucial to take into account their combined effects in a variety of industrial applications. By introducing nonsimilarity variables, the partial differential equations are transformed into a system of coupled ordinary differential equations (ODEs). The bvp4c solver, a MATLAB built-in solver, is implemented to compute the solution to the resultant set of ODEs. Graphs demonstrate how various parameters influence the profiles of velocity, microorganisms, concentration, and temperature. It is observed that thermophoresis significantly influences the thermal and concentration boundary layer regions. Skin friction increases as the curvature parameter value is enhanced. The local Nusselt number rises as the Prandtl number value increases. The local Sherwood number increases with the constant thermophoresis and the Schmidt number increases. As the curvature parameter, bioconvection Schmidt number rises and the value of local motile density increases.