The Darcy-Forchheimer flow of hybrid carbon nanotube over a permeable curved stretching/shrinking surface is investigated in this work. The Darcy-Forchheimer phrase is used to describe porous spaces with different porosity and permeability. The current problem is modelled using curvilinear coordinates due to the curved form of the geometry. A similarity transformation will be applied to the partial differential equations (PDEs) of the fluid flow to convert them to ordinary differential equations (ODEs). The numerical solutions of the equations of continuity, momentum, and energy are obtained using the bvp4c solver in MATLAB. To examine the impact of various physical parameters, including nanoparticle volume fraction, suction, inertia coefficient, and porosity, on temperature and velocity profiles, as well as the local Nusselt number and skin friction, a comprehensive graphical analysis is conducted. By carefully modifying these parameters and scrutinizing their effects on the flow and heat transfer properties, a dual solution was observed on the graphs. The results suggest that increasing the single-wall carbon nanotube (SWCNT) nanoparticle and inertia coefficient parameters narrow the range of solutions. When the SWCNT of a shrinking curved sheet is raised, the skin friction increases. Meanwhile, the inertia coefficient showed the opposite pattern. The increased SWCNT and inertia coefficient parameters decrease the local Nusselt number. Moreover, the findings are compared and rigorously confirmed with previous reported findings in the literature.
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