<p>The findings of the research on radiant heat and chemical reactions contribute to anticipating and managing fluid manners in non-linear, porous settings, which is critical for refining and upgrading existing technologies. For this, we examined a double stratified effect through a non-Darcian porous medium of second-grade fluid over a non-linear impermeable slendering surface. Effects of variable thermal conductivity, non-linear thermal radiation, and second-order chemical reactions are included in this study. The modified leading equations are resolved with the bvp4c tool. A discussion is written regarding the pertinent parameters of concern and how they affect the boundary layers of momentum, temperature, and concentration. It is observed that velocity reduces due to the viscoelastic parameter and Darcy–Forchheimer number; on the other hand, it is improved for permeability. Temperature rises due to thermophoresis and Brownian motion and reduces for Prandtl number and thermal stratified parameter. Also, concentration reduces due to thermal and concentration stratification parameters. Additionally, new features about thermophoresis and Brownian motion are explained. The Sherwood number, Nusselt number, and Skin friction coefficient are also added and inspected by the table.</p>