MHD nanofluid flow analysis in divergent and convergent channels using WRMs and numerical method
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 27 May 2014
Abstract
Purpose
The purpose of this paper is to demonstrate the eligibility of the Weighted Residual Methods (WRMs) applied to magneto hydro dynamic (MHD) nanofluid flow in divergent and convergent channels. Selecting the most appropriate method among the WRMs and discussing about Jeffery-Hamel flow's treatment in divergent and convergent channels are the other important purposes of the present research.
Design/methodology/approach
Three analytical methods (Collocation, Galerkin and Least Square Method) and numerical method have been applied to solve the governing equations. The reliability of the methods is also approved by a comparison made between the fourth-order Runge-Kutta numerical method.
Findings
The obtained solutions revealed that WRMs can be simple, powerful and efficient techniques for finding analytical solutions in science and engineering non-linear differential equations.
Originality/value
It could be considered as a first endeavor to use the solution of the MHD nanofluid flow in divergent and convergent channels using these kinds of analytical methods along with the numerical approach.
Keywords
Citation
Hatami, M. and Ganji, D.D. (2014), "MHD nanofluid flow analysis in divergent and convergent channels using WRMs and numerical method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24 No. 5, pp. 1191-1203. https://doi.org/10.1108/HFF-01-2013-0010
Publisher
:Emerald Group Publishing Limited
Copyright © 2014, Emerald Group Publishing Limited