Significance of Hamilton–Crosser’s model for thermal improvement in transient ternary nanofluid problem from multiple physical aspects

The structure of nanoparticles and their thermophysical characteristics potentially affect the performance of nanofluids. The thermal conductivity model termed as Hamilton–Crosser’s model accommodates the influence of nanoparticles shapes for thermal enhancement applications. Hence, this research aims to analyze the thermal transport in ternary nanofluids using Hamilton–Crosser’s model. The problem is formulated for stagnation point flow using the similarity variables in the governing laws. The traditional nanofluid problem is modified for ternary nanofluids with additional physical aspects of heat generation, thermal radiations, thermal slip effects over the convectively heated domain, and dissipation effects. Then, the numerical scheme (shooting method coupled with RK technique) is implemented for the results. The physical outcomes revealed that stronger unsteady effects [Formula: see text] increased the movement of the fluid while nanoparticles concentration [Formula: see text] abstain the fluid motion. The thermal transport in spherical-type nanoparticles is observed dominant when the Biot number varies [Formula: see text]. However, the increasing transient effects [Formula: see text] slow down the model efficiency. Addition of platelet nanoparticles is observed as good for cooling of the nanofluidic system followed by the hexahedron and spherical nanomaterial. Moreover, higher dissipation energy, heat generation, and radiation effects are examined as excellent physical parameters to make the fluidic system more efficient.