analysis of non-newtonian fluid with phase flow model

In this study, we investigated a non-newtonian uid stagnation point on a stretching surface with slip conditions using a phase ow model. cu and al_2 o_3 nanoparticles were utilized, together with the base uid h2o. the mathematical model has been built using ow assumptions and is theoretically acceptable. the momentum and energy equations are approximated using boundary layer approximations to create partial differential equations. the partial equations that are turned into ordinary differential equations are subjected to the appropriate similarity transformations. the bvp4c method is used to solve these equations numerically. graphs and tables depict the eect of the physical parameters involved. our findings are in good agreement with previous literature. hybrid nanouid achieves smaller values than nanouid for the parameters f’’(0) and -θ’(0). furthermore, for large values of the dimensionless parameter (n), f’’(0) and -θ’(0) grow, where as f’(ξ) and θ(ξ). increase for large values of φ_2.