Mathematical study for peristaltic flow of Williamson fluid in a curved channel

被引：10

作者：

Maraj, E. N. ^{[1
]}

Akbar, Noreen Sher ^{[2
]}

Nadeem, S. ^{[3
]}

机构：

[1] Natl Univ Sci & Technol, SCEE, NICE, Islamabad, Pakistan

[2] Natl Univ Sci & Technol, CEME, DBS&H, Islamabad, Pakistan

[3] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2015年 / 8卷 / 01期

关键词：

Peristaltic flow; Williamson fluid; curved channel; HEAT-TRANSFER; BLOOD-FLOW;

D O I：

10.1142/S1793524515500059

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we have investigated the peristaltic flow of Williamson fluid in a curved channel. The governing equations of Williamson fluid model for curved channel are derived including the effects of curvature. The highly nonlinear partial differential equations are simplified by using the wave frame transformation, long wavelength and low Reynolds number assumptions. The reduced nonlinear partial differential equation is solved analytically with the help of homotopy perturbation method. The physical features of pertinent parameters have been discussed by plotting the graphs of pressure rise, velocity profile and stream functions.

引用

页数：10

共 16 条

[1] Non-linear peristaltic transport of a second-order fluid through a porous medium
Abd Elmaboud, Y.
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[2] Blood flow analysis in tapered stenosed arteries with pseudoplastic characteristics
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[5] Peristaltic impulsion of MHD biviscosity fluid in a lopsided channel: Closed-form solution
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[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2014, 129 (06):
[6] HEAT AND MASS TRANSFER EFFECTS ON CARREAU FLUID MODEL FOR BLOOD FLOW THROUGH A TAPERED ARTERY WITH A STENOSIS
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