Iterative Perturbation Technique for Solving a Special Magnetohydrodynamics Problem

Abstract

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In this paper, we use perturbation iteration technique for struggling magnetohydrodynamics Jeffery-Hamel flow problem. This problem aroused from the classical work by Navier and Stokes and their  equations. We exploit Maxwell’s electromagnetism governing equations via reducing them to nonlinear differential equations to reform the main problem. After simplifying the well-known equation, we get a basic problem and we can readily investigate the emerged problem.  In order to check the power of the technique, we prove that the results are well agreed with the numerical solutions. The present graphics prove that perturbation iteration technique has high accuracy for different α, Ha and Re numbers.

Keywords

• Fluid mechanics,Jeffery-Hamel flows,perturbation iteration method

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