Falkner-Skan Mixed Convection Flow of Casson Nanofluid Under Inclined Lorentz Force and Newtonian Heating by Homotopy Analysis Method

Emran Khoshrouye Ghiasi¹ Reza Saleh²

1) PhD Student, Mechanical Engineering, College of Engineering, Mashhad Branch, Islamic Azad University
2) Assitant Professor, Department of Mechanical Engineering, College of Engineering, Mashhad Branch, Islamic Azad University

Publication : 4th International Congress on Engineering, Technology and Applied Science - Auckland University of Technology(etas2019.com)
Abstract :
This paper investigates the effect of inclined Lorentz force, thermal radiation and Newtonian heating on the Falkner-Skan boundary value problem (FBVP) in nanofluids combined with the Casson rheological model. Using the similarity variables, the governing partial differential equations (PDEs) are transformed into the system ordinary differential equations (ODEs), and are solved through the homotopy analysis method. A convergence and comparison study is performed to show the accuracy and effectiveness of the present solution. Also, a parametric study is carried out to plot graphically the variation of skin friction coefficient and local Nusselt number. It can be seen that the present solution provides a reliable way to solve the nonlinear problems.
Keywords : FBVP Permeability Newtonian heating Magnetic field Homotopy analysis method.