The purpose of the current work is to explore the outcome of suction/injection on Eyring–Powell’s non-linear radiation nanofluid. Non-Newtonian nanofluid flow has a variety of uses in the production of electrical devices, pharmaceuticals, medical equipment, glass fiber, polymer sheets, and more. We considered the Eyring–Powell fluid over an extending surface in the mechanism of a magnetic dipole with double diffusion, and activation energy, because of all these potential consequences. Nonlinear partial differential equation’s together with the supporting constraints are converted into nonlinear ordinary differential equation’s by a suitable similarity function. The obtained equations are solved numerically or analytically by using software MATLAB and MAPLE. This whole analysis is described by the effects of steady, laminar, and incompressible flow. By analyzing these combined effects, we can improve the thickness of the thermal boundary layer. The thermophoresis and Brownian properties that are specifically examined are elaborated by the Buongiorno model. The physical restraints, such as ohmic and viscous dissipation, as well as numerous other parametric factors, are depicted together with their final impacts on fluid flow. For both suction/injection skin friction coefficient decreases with the rise in [Formula: see text] ferromagnetic interaction parameter and Hartman number Ha. The thermal profile is inversely associated with the Prandtl number. The physical behavior of this flow problem in tabular and graphical form, agrees very well with the work already published. Some applications of this research are dosing pumps, vacuum suction machines, etc. To preserve this work, an absolute differentiation is considered that determines the validity of the current work.