Significance of homogeneous–heterogeneous reactions in Darcy–Forchheimer three-dimensional rotating flow of carbon nanotubes

Three-dimensional rotating flow of water-based carbon nanotubes is investigated in the presence of Darcy–Forchheimer porous space and homogeneous–heterogeneous reactions. Variable surface temperature condition is employed. Exponentially stretchable sheet induces the flow. Xue model has been implemented for nanoliquid transport mechanism. Suitable transformations lead to strong nonlinear ordinary differential system. An optimal homotopic algorithm is used to tackle the governing nonlinear system. Results for single-wall carbon nanotubes and multi-wall carbon nanotubes have been studied. Plots are displayed just to explore the role of flow parameters on solutions. Skin friction coefficients and heat transfer rate have been plotted and discussed. Our findings indicate that the skin friction coefficients and local Nusselt number are enhanced for larger values of nanoparticles volume fraction.