Series Solutions for Nonlinear Partial Differential Equations with Slip Boundary Conditions for non-Newtonian MHD Fluid in Porous Space

被引：43

作者：

Zeeshan, A. ^{[1
]}

Ellahi, R. ^{[1
,2
]}

机构：

[1] IIU, Dept Math & Stat, Islamabad 44000, Pakistan

[2] Univ Calif Riverside, Dept Mech Engn, Riverside, CA 92521 USA

来源：

APPLIED MATHEMATICS & INFORMATION SCIENCES | 2013年 / 7卷 / 01期

关键词：

Nonlinear coupled partial differential equations; slip boundary conditions; series solution; convergence; MHD non-Newtonian fluid; porosity; HOMOTOPY ANALYSIS METHOD; VARIABLE VISCOSITY; VISCOUS DISSIPATION; STARTING SOLUTIONS; 2ND-GRADE FLUID; 3RD-GRADE FLUID; FLOW; CHANNEL;

D O I：

10.12785/amis/070132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The fully developed flow of an incompressible, thermodynamically compatible non-Newtonian magnetohydrodynamics (MHD) fluid in a pipe with porous space and partial slip is studied in this paper. Two illustrative models of viscosity namely (i) Constant model and (ii) Variable model are considered. Series solutions for nonlinear coupled partial differential equations are first developed and then convergence of the obtained series solutions has been discussed explicitly. The recurrence formulae for finding the coefficients are also given in each case. Finally the role of pertinent parameters is illustrated graphically.

引用

页码：257 / 265

页数：9

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