Analysis of non-Newtonian fluid with phase flow model

We considered a stagnation point of Non-Newtonian Fluid with Phase Flow Model over a stretching surface with slip conditions. Two types of the nanoparticle used, namely Cu and 〖Al〗_2 O_3 with base fluid H_2 O. Acceptable to theoretical study, the mathematical model has been constructed through flow assumptions. Partial differential equations are made by applying the boundary layer approximations on the momentum and energy equations. The suitable similarity transformations are applied to the partial equations which are converted into ordinary differential equations. These equations are solved by numerical scheme, namely BVP4C method. The involving physical parameters effect is shown by graphs and tables. Our work shows a good agreement with the decay literature. The expressions F''(0) and -θ'(0) achieve fewer values by hybrid nanofluid than that of nanofluid. Moreover F''(0) and -θ'(0) increase for large values of the dimensionless parameter (N) where as F'(ξ) and θ(ξ).increase for large values of Φ_2.