Effects of variable viscosity in a third grade fluid with porous medium: An analytic solution

被引：60
作者：
Ellahi, R. [1 ]
Afzal, S. [1 ]
机构：
[1] IIU, Fac Basic & Appl Sci, Dept Math, Islamabad 44400, Punjab, Pakistan
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 05期
关键词：
Analytical solution; Third grade; Porous medium; UNSTEADY UNIDIRECTIONAL FLOWS; NON-NEWTONIAN FLUIDS; HOMOTOPY ANALYSIS; MHD FLOW; HEAT-TRANSFER; AXISYMMETRICAL FLOW; VISCOUS DISSIPATION; 2ND-GRADE FLUID; 3RD-GRADE FLUID; ROTATING FLOW;
D O I：
10.1016/j.cnsns.2008.05.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study extends the analysis of ref. [Hayat T, Ellahi R,Asghar S. The influence of variable viscosity and viscous dissipation on the non-Newtonian flow: An analytic solution, Commun Nonlinear Sci Numer Simul 2007;12:300-313] in a porous medium by employing modified Darcy's law. Beside this Reynolds and Vogels models of temperature dependent viscosity are considered. The problem is solved using homotopy analysis method (HAM). Expressions of velocity and temperature profiles are constructed analytically and explained with the help of graphs. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2056 / 2072
页数：17
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