MHD Natural Convection of grade three of non-Newtonian fluid flow between two Vertical Flat Plates through Porous Medium with heat source effect

Soliman, Hussein Abd Allah

doi:10.21608/jesaun.2022.110893.1099

MHD Natural Convection of grade three of non-Newtonian fluid flow between two Vertical Flat Plates through Porous Medium with heat source effect

Document Type : Research Paper

Author

Hussein Abd Allah Soliman

International Academy for Engineering and Media Science, 6th October, Egypt

10.21608/jesaun.2022.110893.1099

Abstract

Analytical and numerical solutions are investigated to study solution of the Magneto hydrodynamics (MHD) natural convection flow of grade three of a non- Newtonian fluid flow between two vertical flat plates through embedded in a porous medium and considering the effect heat source using Multi−step differential transform method and finite difference method. The system of coupled nonlinear ordinary differential equations are solved analytically using Multi−step differential transform method (MDTM) and numerically using finite difference method (FDM). The results of (MDTM), (FDM), and another analytical method are all in good agreement, demonstrating that these methods are capable of solving similar problems. Graphs and tables show the effect of various parameters on velocity and temperature. The current studies, as well as comparisons to previous findings, are presented in figures and tables. The study results showed that the analytical solution using Multi−step differential transform method and numerical solution using finite difference method agrees well with recent analytical and numerical solutions.

Keywords

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