Analysis of non-Newtonian fluid with phase flow model

Document Type : Review Article


1 Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan

2 - Mathematics and Its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam. - Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam.

3 Al-Farabi Kazakh National University, Faculty of Mechanics and Mathematics, av. al-Farabi 71, Almaty, Kazakhstan

4 Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia

5 Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt


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.


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