Flow across moving plate at separated stagnation point: Features of corcione's correlation with Thompson and Troian slip and melting heat

The dynamic features of nanofluids replicate multiple implications in the processes of cooling, environmental architecture, heat pumps, electromagnetic flow cytometry, energy generation, hyperthermia, and other related processes. The goal of this study is to investigate the Corcione correlation, which highlights the importance of fluid temperature, particle volume fraction, and particle size in increasing the nanofluid's heat transfer rate and thermal conductivity considering the promising applications of nanofluids. In this case, we ponder about the flow of a nanofluid made up of Al2O3 and H2O through a sliding plate, where the fluid experiences unstable separated stagnation point flow coupled with melting heat transfer. Nanoparticles with diameters of 28, 30, and 45 nm and concentrations of up to 4% by volume are all accounted for in the study. The Thomson and Troian slip conditions improve the mathematical model. In this work, we propose a novel mathematical model of a nanofluid and provide analogous solutions in the manner of ODEs. Estimated solutions to reduced ODEs are calculated using MATLAB's bvp4c method. Several graphics illustrate the impact of many elements. Over a given volume percentage, the Nusselt number and drag force coefficient are calculated for a range of nanoparticle sizes, and it is shown that both increase with increasing nanoparticle diameter (Al2O3). Based on the findings, the skin friction coefficient and heat transfer rate both increase when stagnation strength parameters are raised. The thermal conductivity was also enhanced by the inclusion of the suction constraint. Curiously, improving heat-transfer performance is proportional to decreasing the unsteadiness parameter. The manufacturing and operations systems are two areas where this heavy engagement is particularly evident in furthering industrial progress. We may also infer that the incorporation of nanoparticles into the working fluid enhances heat transfer and that surface slip boosts draining control.