Analytical solutions for MHD flow in a third-grade fluid with variable viscosity

被引：147

作者：

Ellahi, R. ^{[1
]}

Riaz, Arshad ^{[1
]}

机构：

[1] IIU, Fac Basic & Appl Sci, Dept Math, Islamabad 44000, Pakistan

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 52卷 / 9-10期

关键词：

Variable viscosity; MHD effects; Heat transfer analysis; Analytical solutions; Convergence; HOMOTOPY ANALYSIS METHOD; NON-NEWTONIAN FLOW; VISCOUS DISSIPATION; STARTING SOLUTIONS; POROUS-MEDIUM; OSCILLATIONS; EQUATIONS;

D O I：

10.1016/j.mcm.2010.07.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The purpose of the current article is to analyze the influence of magnetohydrodynamics (MHD) on the pipe flow of a third-grade fluid with variable viscosity. In addition, the heat transfer characteristic is taken into account. Due to the nonlinear, coupled and highly complicated nature of the governing equations, finding an analytical solution is not easy. We obtained the expressions for the velocity and temperature using the homotopy analysis method (HAM). The sketched graphs describe the features of the physical parameters involved in the solution.(C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1783 / 1793

页数：11

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