Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method

Abstract

In this study, the effects of magnetic field and nanoparticle on the JefferyHamel flow are studied using a powerful analytical method called the Adomian decomposition method (ADM). The traditional Navier-Stokes equation of fluid mechanics and Maxwell's electromagnetism governing equations are reduced to nonlinear ordinary differential equations to model the problem. The obtained results are well agreed with that of the Runge-Kutta method. The present plots confirm that the method has high accuracy for different α, Ha, and Re numbers. The flow field inside the divergent channel is studied for various values of Hartmann number and angle of channel. The effect of nanoparticle volume fraction in the absence of magnetic field is investigated.

Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method

“…attempts have been focused on constructing an analytical solution for these equations using the advanced developed methods such as Adomian's Decomposition Method (ADM) (Sheikholeslami, 2012), Homotopy Perturbation Method (HPM) (He, 2006;Rahimi et al, 2012), Variational x'Iteration Method (VIM) (He, 2007), Differential Transformation Method (Ganji and Azimi, 2013), Homotopy Aanalysis Method (HAM) (Liao, 2003;Liao, 2012;Abbasi et al, 2014; and Least Square Method (LSM) .…”

Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem

“…The optimal homotopy asymptotic method is applied by Marinca and Herişanu [10] and by Esmaeilpour and Ganji [11]. The effect of magnetic field and nanoparticles on the Jeffery-Hamel flow are studied in [12,13]. A numerical treatment using stochastic algorithms is applied by Raja and Samar [14].…”

Second Law Analysis for Couple Stress Fluid Flow through a Porous Medium with Constant Heat Flux

“…In the following section, the problem will be formulated and nondimensionalized. In Section 3, solutions of the dimensionless boundary-valued-problems will be obtained by using the rapidly convergent computational Adomian decomposition method [47][48][49] implemented in Mathematica 10.0. In Section 4, results are presented and discussed extensively, and the contributions to knowledge are presented in Section 5.…”