Study the Effect of Suction-Injection parameters Numerically and Analytically for Magneto hydrodynamic Jeffery Hamel Fluid Flow Problem

Ahmed Rasheed; Abeer  Majeed Jasim

doi:10.31185/wjps.359

Authors

Ahmed Rasheed Department of Mathematics, Faculty of Education, University of Sumer, Thi-Qar, IRAQ
Abeer Majeed Jasim Department of Mathematics, Faculty of Science, University of Basrah, Basrah, IRAQ

DOI:

https://doi.org/10.31185/wjps.359

Keywords:

Jeffery-Hemal, Fluid Flow, Differential Transform Method, Optimal Differential Transform Method

Abstract

This paper processes numerically and analytically the magnetohydrodynamic flow among two porous solid plate intersections at an angle or through non-parallel porous walls, which can be interpreted as a mix of Jeffery Hamel fluid flow additives from suction-injection parameters. In fluid mechanics, the equations of governing, which are transferred to the non-linear ordinary differential equation of third order, are modeled instead of the conventional Navier-Stokes equations by Maxwell's electromagnetism. Results obtained from the DTM and the numerical method BVP4c are compared to those resulting from the optimal methods (ODTM), which consist of the collocation differential transform method (CDTM), the sub-domain differential transform method (SDTM), the least squares differential transform method (LSDTM), and the Galerkin differential transform method (GDTM). A comparison is made between the approximate analytical and numerical solutions for different parameters like open angles (ε), Reynolds numbers (Re), injection parameters (S), and Hartmann numbers (Ha). The results demonstrate that the two approaches are very similar.

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