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

• Published in: Journal of magnetism and magnetic materials 2023-11, Vol.586, p.171176, Article 171176
• Main Authors: Lin, Yuanjian, Raza, Ali, Khan, Umair, Nigar, Niat, Elattar, Samia, AlDerea, Afrah M., Abd El-Wahed Khalifa, Hamiden
• Format: Article
• Language: English
• Subjects: Channel; Hybrid-nanofluid; Memory effect; Numerical methods; Prabhakar-fractional derivatives
• ISSN: 0304-8853
• DOI: 10.1016/j.jmmm.2023.171176

•The effects of a magnetic field on a type of Casson hybrid nanofluid flow between two infinite parallel plates is examined.•Two different hybrid nanofluids are utilized to enhance the heat transfer features.•Porosity impacts is taken into account.•Numerical fractional solutions are presented for the impact of several distinct influential parameters. 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.