Significance of multiple slips and thermal radiation on heat and mass transfer in MHD Casson nanofluid flow over an exponentially stretching porous sheet with non-uniform heat source and sink

This research investigates the thermal and mass transfer properties of a magnetohydrodynamic Casson nanofluid flowing over a nonlinear porous stretching sheet subjected to a magnetic field. The study considers chemical reactions, thermophoresis, non-uniform heat sources or sinks, and the Soret and Dufour effects. Furthermore, the analysis incorporates various slip parameters and a convective boundary condition. The controlling nonlinear partial differential equations are turned into nonlinear ordinary differential equations via similarity transformations. The Keller-Box technique is employed to solve this system, with the results being verified for consistency and reliability. Through graphical representations, the study investigates the impact of several important parameters, such as the Casson fluid parameter, radiation parameter, magnetic field parameter, porosity parameter, and Prandtl number. A comparison with previously published work demonstrates excellent agreement, ensuring the accuracy of the results. The findings show that an increase in the Casson fluid parameter decreases the velocity profile. Moreover, a higher magnetic field parameter leads to a thinner velocity boundary layer and a thicker thermal boundary layer. This research offers valuable insights into the behavior of nanofluids in MHD systems, with implications for advanced heat transfer applications such as electronic cooling, energy production, magnetic material processing, and various fields in chemical and biomedical engineering.