The prime objective of the investigation is to study the effect of SWCNT nanoparticles in the base fluid Ethylene glycol on the hydrodynamics and heat transmission through a stretching surface in a Darcy–Forchheimer porous regime. The novelty of the investigation is to examine the behaviour of the heat conduction due to superior thermal conductivity of SWCNT under the applicability of magnetic fluid, Forchheimer force, wall suction and injection and the presence of nanoparticles in the basefluid moving along a stretching sheet. Non-linear partial differential equations are transformed to ODE using appropriate similarity transformations and a finite difference scheme of bvp4c has been adopted to obtain the solutions of various physical variables in the form of curves via MATLAB codes. Velocity distribution, nanofluid temperature and molar species along with engineering key attributes—Skin friction, Nusselt number, Sherwood number are plotted with the variation of controlling parameters of the nanofluid. The implication of this study has been accentuating in the field of bio-engineering and thermal manufacturing engineering with heat transfer analysis in nanomaterials.