Three weighted residual methods based on Jeffery-Hamel flow

Abstract

Purpose

The purpose of this paper is to demonstrate the eligibility of the weighted residual methods (WRMs) applied to Jeffery-Hamel Flow. 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) have been applied to solve the governing equations. The reliability of the methods is also approved by a comparison made between the forth 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 Jeffery-Hamel flow using these kind of analytical methods along with the numerical approach.

Citation

Ganji, D.D. and Hatami, M. (2014), "Three weighted residual methods based on Jeffery-Hamel flow", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24 No. 3, pp. 654-668. https://doi.org/10.1108/HFF-06-2012-0137