Significance of slips and convective conditions towards the non-Newtonian hybrid nanofluid flow over a bi-directional stretching surface

Researchers are paying close attention to Casson fluid due to their noteworthy applications in industries. Among the non-Newtonian substances, the Casson fluid is one of the most important types. In this paper, the flow of sodium alginate-based Casson hybrid nanofluid flow mixed with copper and alumina nanoparticles across a stretching sheet is investigated. The slips and convective boundary conditions are assumed in the problem. Moreover, the flow of the hybrid nanofluid is magnetically influenced. Additionally, the consequences of viscous dissipation are considered. Through similarity variables, the leading nonlinear PDEs are converted into ODEs, which are then simplified by the homotopy analysis method (HAM). The variations in velocities, temperature, skin friction, and Nusselt number are exhibited in the figures. With the help of figures, the convergence analysis of the present model has been shown. The result reveals that the Casson factor has a declining consequence on the velocity profile along the x − direction and y − directions. An improvement behavior is observed in the velocity plot in the y − direction through the stretching ratio parameter. The Casson parameter has a declining effect on the velocity profile along x-direction and ydirections. It is noticed that the temperature plot shows an escalating behavior through the Eckert number and magnetic parameter. From the numerical result, it is concluded that the Skin friction and Nusselt number of hybrid nanofluid is maximum as compared to nanofluid.