To get a better heat transmission capacity of ordinary fluids, new hybrid nanofluids (HNFs) with a considerably greater exponent heat than nanofluids (NFs) are being used. HNFs, which have a greater heat exponent than NFs, are being applied to increase the HT capacities of regular fluids. Two-element nanoparticles mixed in a base fluid make up HNFs. This research investigates the flow and HT features of HNF across a slick surface. As a result, the geometric model is explained by employing symmetry. The technique includes nanoparticles shape factor, Magnetohydrodynamics (MHD), porous media, Cattaneo–Christov, and thermal radiative heat flux effects. The governing equations are numerically solved by consuming a method known as the Galerkin finite element method (FEM). In this study, H2O-water was utilized as an ironic, viscous improper fluid, and HNF was investigated. Copper (Co) and Titanium Alloy (Ti6Al4V) nanoparticles are found in this fluid. The HT level of such a fluid (Ti6Al4V-Co/H2O) has steadily increased in comparison to ordinary Co-H2O NFs, which is a significant discovery from this work. The inclusion of nanoparticles aids in the stabilization of a nanofluid flowing and maintains the symmetry of the flow form. The thermal conductivity is highest in the boundary-lamina-shaped layer and lowest in sphere-shaped nanoparticles. A system's entropy increases by three characteristics: their ratio by fractional size, their radiated qualities, and their heat conductivity modifications. The primary applications of this examination are the biological and medical implementations like dental and orthopedic implantable devices, as well as other devices such as screws and plates because they possess a favorable set of characteristics such as good biomaterials, corrosion resistance and wear, and great mechanical characteristics.