Numerical simulation of heat and mass transfer in non-Newtonian Casson nanofluids driven nonlinearly by a wedge-shaped stretching plate

In this paper, the heat mass transfer and entropy production of a non-Newtonian Casson nanofluid under the nonlinear motion of a wedge-shaped stretching plate are investigated. The effects of magnetic field, free flow velocity and porous medium are fully considered in the control equations. Then, the control equations are transformed into ordinary differential equations by using similar transformations, and the effects of dimensionless parameters on the momentum, heat and mass transfer and entropy production of the fluid are solved by using numerical solution methods. The results show that increasing both the magnetic field parameter and the Darcy parameter can effectively improve the heat transfer of the nanofluid, but at the expense of frictional resistance. It is also found that when the magnetic field strength and the velocity ratio parameter are increased, the Bejan number distribution shifts to the right overall, which can be explained by the increase in the proportion of entropy production due to heat transfer in the nanofluid system. This study theoretically deepens the understanding of non-Newtonian Casson nanofluid flow properties, and also provides a key theoretical basis for engineering applications such as heat exchanger design.