Iterative Perturbation Technique for Solving a Special Magnetohydrodynamics Problem

Year 2020, Volume: 16 Issue: 1, 69 - 74, 27.03.2020

Sinan Deniz

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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