Series Solutions for the Peristaltic Flow of a Tangent Hyperbolic Fluid in a Uniform Inclined Tube

被引：35
作者：
Nadeem, Sohail [1 ]
Akbar, Noreen Sher [1 ]
机构：
[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2010年 / 65卷 / 11期
关键词：
Series Solutions; Peristaltic Flow; Tangent Hyperbolic Fluid; Uniform Tube; 3RD GRADE FLUID; HEAT-TRANSFER; VARIABLE VISCOSITY; ASYMMETRIC CHANNEL; MAGNETIC-FIELD; JEFFREY FLUID; TRANSPORT; ANNULUS; ENDOSCOPE;
D O I：
10.1515/zna-2010-1101
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
In the present investigation we have studied a tangent hyperbolic fluid in a uniform inclined tube. The governing equations are simplified using long wavelength and low Reynold number approximations. The solutions of the problem in simplified form are calculated with two methods namely (i) the perturbation method and (ii) the homotopy analysis method. The comparison of the solutions show a very good agreement between the two results. At the end of the article the expressions of the pressure rise and the frictional force are calculated with the help of numerical integration. The graphical results are presented to show the physical behaviour of Weissenberg number We, amplitude ratio 0, and tangent hyperbolic power law index n.
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页码：887 / 895
页数：9
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