Perturbation Iteration Algorithm for Analytical Investigation of Jeffery–Hamel Flow

Abstract

The goal of this paper is to present how to calculate an approximate semi-analytical approach to magneto-hydrodynamic (MHD) Jeffery–Hamel flow using a unique form of the perturbation iteration algorithm  (PIA)  . At one and both grid points, the approximate solution of this issue is determined in the form of a quickly converging series. For various values of Hartmann and Reynolds numbers, results for velocity profiles in divergent and convergent channels are shown. (P IA) and fourth-order Runge Kutta are used to solve the problem (RK4). Both solutions are compared to the variance of the parameter technique (MADM) and (DTM) to see if the method is effective (PIA). The effects of the settings are visualized via graphical simulation for both divergent and converging, channels.