Effects of temperature dependent viscosity on peristaltic flow of a Jeffrey-six constant fluid in a non-uniform vertical tube

被引：48

作者：

Nadeem, S. ^{[1
]}

Akbar, Noreen Sher ^{[1
]}

机构：

[1] Quaid i Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 12期

关键词：

Peristaltic flow; Reynold's model; Vertical tube; Jeffrey-six constant fluid; Heat transfer; HERSCHEL-BULKLEY FLUID; NON-NEWTONIAN FLUID; VARIABLE VISCOSITY; HEAT-TRANSFER; DIVERGING TUBE; INCLINED TUBE; UNIFORM TUBE; TRANSPORT; PIPE;

D O I：

10.1016/j.cnsns.2010.01.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the influence of heat transfer and temperature dependent viscosity on peristaltic flow of a Jeffrey-six constant fluid. The two-dimensional equations of Jeffrey-six constant fluid are simplified by making the assumptions of long wave length and low Reynolds number. The arising equations are solved for temperature, velocity profile and axial pressure gradient using regular perturbation method and homotopy analysis method. The integration appeared in the pressure rise is treated numerically to find the solution. The expressions for pressure rise, temperature, pressure gradient and stream functions are sketched for various embedded parameters and interpreted. The graphical results are also presented for five different wave shapes. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：3950 / 3964

页数：15

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