Dual Solutions and Stability Analysis of Cu-H2O-Casson Nanofluid Convection past a Heated Stretching/Shrinking Slippery Sheet in a Porous Medium

In this study, we examined the impact of Cu-H2O nanoparticles on two-dimensional Casson nanofluid flows past permeable stretching/shrinking sheet embedded in a Darcy-Forchheimer porous medium presence slipperiness surface, suction/injection, viscous dissipation, and convective heating. Using some realistic assumptions appropriate similarity transformations, governing nonlinear partial differential equations were formulated transformed into system ordinary then numerically solved by using shooting technique. Numerical results are displayed for dimensionless fluid velocity temperature profiles, skin friction, local Nusselt number. The impacts different physical parameters these quantities presented discussed graphs, tables, chart. For specific range shrinking sheet, result shows that dual solutions exist, temporal stability analysis is performed introducing small disturbances to determine stable solutions. It detected upper branch solution hydrodynamically substantially realistic; however, lower unstable physically unachievable. flow obtained enhancing suction, surface slipperiness, dissipation parameters. However, augmenting values factor, nanoparticle volume fraction, medium, inertia, heating increases blow-up flow. rate heat transfer enhances with increment ratio, parameters, whereas it reduces as rise. Increment fraction boosts enhancement higher surface.