International Journal of Partial Differential Equations and Applications
ISSN (Print): 2376-9548 ISSN (Online): 2376-9556 Website: http://www.sciepub.com/journal/ijpdea Editor-in-chief: Mahammad Nurmammadov
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International Journal of Partial Differential Equations and Applications. 2014, 2(6), 96-104
DOI: 10.12691/ijpdea-2-6-1
Open AccessArticle

Study of MHD Nanofluid Flow over a Horizontal Stretching Plate by Analytical Methods

A. Vahabzadeh1, M. Fakour1 and D. D. Ganji2

1Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran

2Department of Mechanical Engineering, Mazandaran University, Babol, Iran

Pub. Date: December 11, 2014

Cite this paper:
A. Vahabzadeh, M. Fakour and D. D. Ganji. Study of MHD Nanofluid Flow over a Horizontal Stretching Plate by Analytical Methods. International Journal of Partial Differential Equations and Applications. 2014; 2(6):96-104. doi: 10.12691/ijpdea-2-6-1

Abstract

The nonlinear two-dimensional forced-convection boundary-layer magneto hydrodynamic (MHD) incompressible flow of nanofluid over a horizontal stretching flat plate with variable magnetic field including the viscous dissipation effect is solved using the Variational iteration method (VIM), homotopy perturbation method (HPM) and Adomian decomposition method (ADM). In the paper, our results of the VIM, HPM and ADM are compared with the numerical method (Runge-Kutta fourth-rate). Also the influence of physical factors such as m, Eckert number (Ec) and the percentage of nanoparticles (ϕ) on the velocity and temperature profiles have been investigated. The comparisons of the results show that the HPM has the capability of solving the nonlinear boundary layer MHD flow of nanofluid with sufficient accuracy. The results show with increasing of the parameter m, velocity decreases but for temperature the reverse trend is observed and also with increasing of nanoparticles volume, the temperature value decreases and the velocity value increases. Also with increasing of Eckert number, the temperature value increases.

Keywords:
magneto hydrodynamic (MHD) flow of nanofluid Adomian decomposition method (ADM) Variational iteration method (VIM) Homotopy perturbation method (HPM)

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