Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation

被引：187

作者：

Rashidi, M. M. ^{[1
]}

Pour, S. A. Mohimanian ^{[1
]}

Abbasbandy, S. ^{[2
,3
]}

机构：

[1] Bu Ali Sina Univ, Fac Engn, Dept Mech Engn, Hamadan, Iran

[2] Islamic Azad Univ, Dept Math Sci, Tehran 14778, Iran

[3] Islamic Azad Univ, Res Branch, Tehran 14778, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 04期

关键词：

Micropolar fluid; Porous medium; Homotopy analysis method; Convergence; HOMOTOPY ANALYSIS METHOD; NON-NEWTONIAN FLUIDS; 2ND-GRADE FLUID; VISCOUS-FLOW; MHD FLOW; EQUATIONS; EXPLICIT; FILM;

D O I：

10.1016/j.cnsns.2010.08.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims to present complete analytic solution to heat transfer of a micropolar fluid through a porous medium with radiation Homotopy analysis method (HAM) has been used to get accurate and complete analytic solution The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form The convergence of the obtained series solutions is carefully analyzed The velocity and temperature profiles are shown and the influence of coupling constant permeability parameter and the radiation parameter on the heat transfer is discussed in detail The validity of our solutions is verified by the numerical results (fourth-order Runge-Kutta method and shooting method) (C) 2010 Elsevier BV All rights reserved

引用

页码：1874 / 1889

页数：16

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