Prabhakar fractional simulation for thermal and solutal transport analysis of a Casson hybrid nanofluid flow over a channel with buoyancy effects

The Casson fluid flow of an unsteady and viscous type hybrid nanofluid between two parallel infinite plates is highlighted in this study as being affected by a magnetic field. The two nanoparticles are copper (Cu) and aluminum oxide (Al2O3), and their physical characteristics have been anticipated as based fluids like water (H2O) and sodium-alginate (NaC6H7O6). The derived fractional model is inspected with the assistance of Laplace transformation utilizing the recent and modified description of the Prabhakar fractional derivative. It statistically and graphically examined how different constraints affect various nanoparticles. Therefore, we have concluded that a rise in the volumetric percentage ratio causes a decrease in fluid velocity. Furthermore, this can also be seen that (H2O-Cu-Al2O3) hybrid nanofluid has a greater impact on thermal and momentum profile than (NaC6H7O6-Cu-Al2O3) hybrid nanofluid due to the physical properties of the investigated nanoparticles and base fluids. The velocity profile also decelerates as a result of the improvement in Casson fluid parameter values. The overlapping of the attained results and existing literature also validate this study.