The present study deals with a parametric study of heat and mass transfer of a steady, laminar, and 2D nanofluid flow under the influence of an inclined magnetic field, curvature, permeable medium, thermal radiation, electrical resistance heating, viscous dissipation, heat source/sink, chemical reaction, and concentration power-law exponent effects. Similarity transformations are employed to convert highly nonlinear PDEs to highly nonlinear ODEs. The Frobenius method was used to obtain the heat and mass transfer solutions in terms of hypergeometric function. Iron Oxide Black and water are used as the nanoparticles and base fluid, respectively. Heat and mass transfer boundary conditions are classified as PST (Prescribed surface temperature) and PSC (Prescribed surface concentration), respectively. The effects of nanoparticle volume fraction and curvature parameters on the local skin friction coefficient have been presented. The Box-Behnken design (BBD) is employed to demonstrate the effects of nanoparticle volume fraction parameter, Darcy number, and chemical reaction parameter on the local Sherwood number. Results show that the curvature parameter directly affects the local skin friction coefficient and velocity. In addition, with a rising concentration power-law exponent parameter, the thickness of the concentration boundary layer becomes thinner.