Magnetized Casson SA-hybrid nanofluid flow over a permeable moving surface with stability analysis

This study employs the Tiwari and Das model to numerically evaluate the heat-transfer properties of a magnetized Casson sodium alginate-copper/alumina hybrid nanofluid flow over a permeable moving surface, taking into account the effects of viscous dissipation. Sodium alginate-alumina/copper hybrid nanofluids have garnered significant attention in modern society because of their potential uses in a variety of different industries. The key goal of the study is to examine the effect of the Casson parameter and copper solid volume fraction for skin friction coefficient and Nusselt number against velocity ratio parameter. Additionally, in the present study, velocity and temperature profiles for velocity ratio parameter, suction effect, magnetic parameter, Eckert number, and Prandtl number are also included. Using the bvp4c technique, the PDEs are converted into a set of non-linear ODEs with the use of suitable similarity variables. Dual approaches for controlling parameter using varied Casson fluid parameter and copper solid volume fraction quantities have been identified. Unique solutions, no solutions, and dual solutions exist in specific ranges of parameters. Consequently, beyond the critical values, no solution exists. The rate of heat transfer strengthened as the capacity of the Eckert number augmented. The temperature profile also diminished when the Prandtl number improved. The appearance of the boundary layer separation extension resulted from incorporating the copper solid volume fraction. Finally, stability analysis reveals that the first solution is stable, and the second solution is unstable.