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The aim of our study is to delineate the characteristics of fluid flow comprising single-wall and multi-wall carbon nanotubes (SWCNTs and MWCNTs) along the surface of a Riga plate fixed in a porous environment. We carried out in-depth comparative analysis to depict the behavior of SWCNTs and MWCNTs when water and kerosene oil are used as base fluids. Homogeneous–heterogeneous reactions generated a significant impact on flow dynamics; furthermore, we also discuss the impact of viscous dissipation. We assembled numerical solutions for non-dimensionalized ordinary differential equations with the help of the shooting technique; moreover, by employing the same procedure, we report the conduct of dominating parameters on velocity, temperature, and concentration profiles. The results show highly desirable skin friction coefficient and Nusselt number values, which we exhibit in terms of tabular data.