Solution of the Jeffery-Hamel flow problem by optimal homotopy asymptotic method

被引：80

作者：

Esmaeilpour, M. ^{[1
]}

Ganji, D. D. ^{[2
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Engn Mech, Mashhad, Iran

[2] Bobol Univ Technol, Dept Mech Engn, Babol Sar, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 11期

关键词：

Jeffery-Hamel flows; Optimal homotopy analysis method (OHAM); Nonlinear ordinary differential equation; VARIATIONAL ITERATION METHOD; PERTURBATION METHOD; EQUATIONS; FLUID; APPROXIMATION;

D O I：

10.1016/j.camwa.2010.03.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present article addresses Jeffery-Hamel flow: fluid flow between two rigid plane walls, where the angle between them is 2 alpha. A new analytical method called the optimal homotopy asymptotic method (OHAM) is briefly introduced, and then employed to solve the governing equation. The validity of the homotopy asymptotic method is ascertained by comparing our results with numerical (Runge-Kutta method) results. The effects of the Reynolds number (Re) and the angle between the two walls (2 alpha) are highlighted in the proposed work. The results reveal that the proposed analytical method can achieve good results in predicting the solutions of such problems. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3405 / 3411

页数：7

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