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Hindi Research Article
Analytical and Numerical Method in the Free Convection Flow of Pure Water Non-Newtonian Nano fluid between Two Parallel Perpendicular Flat Plates
Gholinia M1, Ganji DD2*, Poorfallah M1 and Gholinia S21Science and Technology University, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran
2 Babol University of Technology, Department of Mechanical Engineering, P.O. Box 484, Babol, Iran
- *Corresponding Author:
- Ganji DD
Babol University of Technology
Department of Mechanical Engineering
P.O. Box 484, Babol, Iran
Tel: +98 111 32 34 501
E-mail: ddg_davood@yahoo.com
Received date: August 28, 2016; Accepted date: September 23, 2016; Published date: September 27, 2016
Citation: Gholinia M, Ganji DD, Poorfallah M, Gholinia S (2016) Analytical and Numerical Method in the Free Convection Flow of Pure Water Non-Newtonian Nano fluid between Two Parallel Perpendicular Flat Plates. Innov Ener Res 5:142.
Copyright: © 2016 Gholinia M, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Abstract
In this research, free convection of a non-Newtonian silver-water nanofluid between two infinite parallel perpendicular flat plates is investigated. The Maxwell Garnetts (MG) nanofluid model is used in this work. The basic partial differential equations are reduced to the ordinary differential equations which are solved analytically using Homotopy Perturbation Method (HPM). The impact of various physical parameters such as nanoparticle volume fraction (φ), dimensionless non-Newtonian viscosity (δ) and Eckert number (Ec) on the velocity and dimensionless temperature profiles is studied. The comparison of the results of HPM, Akbari-Ganji’s Method (AGM), Collocation Method (CM), the fourth-order Runge-Kutta numerical Method (NUM) and FlexPDE software results shows excellent complying in solving this problem. Also, this research shows that AGM and HPM are powerful methods to solve non-linear differential equations, such as the problem raised in this research.
