<p>The research on blood flow via a channel is essential for the enhancement of more accurate diagnostic tools, effective treatment plans and innovating medical equipment. Considering this efficacy, the present communication focuses on the role of the shape factor on Darcy–Forchheimer flow of trihybrid nanofluid with different nanomaterials like gold, silver and copper past a channel with suction/injection. The energy equation is modelled by the effects of radiation, viscous dissipation, and heat generation/consumption. The regulating flow equations, formulated as partial differential equations (PDEs), are converted into ordinary differential equations (ODEs) by implementing the suitable transformations. After that, the ND solver in Mathematica is used to compute numerical solutions to these ordinary differential equations. The notable results of velocity, temperature, skin friction coefficient and local Nusselt number relative to key factors are presented via graphical and tabular representations. The fluid velocity diminishes in the lower channel and grows in the upper channel whenever the quantities of the Forchheimer number, magnetic field, and porosity parameters are positively altered. The radiation parameter and the Eckert number lead to the development of the temperature profile. The thicker thermal boundary layer forms in the lower channel of the expanding case compared to the contracting case. The upper channel achieved the inverse behavior. In most of the cases, the larger thermal boundary occurs in lamina-shaped nanoparticles compared to the spherical and blade-shaped nanoparticles.</p>