Numerical Analysis of Peristaltic Transport of a Tangent Hyperbolic Fluid in an Endoscope

S. Nadeem; Noreen Sher Akbar

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Numerical Analysis of Peristaltic Transport of a Tangent Hyperbolic Fluid in an Endoscope

机译：内窥镜中双曲正切液体蠕动传输的数值分析

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This paper presents a tangent hyperbolic fluid in a cylindrical coordinate system. The governing equations are simplified using long-wavelength and low Reynolds number approximations. The solutions of the problem in simplified form are calculated with three meth ods: (1) perturbation method, (2) homotopy analysis method, and (3) shooting method. Comparison of the three solutions shows very good agreement among them. Pressure rise and frictional force are calculated with the help of numerical integration. Graphical results for pressure rise and frictional forces are presented to show the physical behavior of the Weissenberg number We, amplitude ratio φ, tangent hyperbolic power law index n, and radius ratio φ.

机译：本文提出了圆柱坐标系中的正切双曲线流体。使用长波长和低雷诺数逼近简化了控制方程。用三种方法来计算简化形式的问题的解决方案：（1）摄动法，（2）同态分析法和（3）射击法。三种解决方案的比较表明它们之间具有很好的一致性。借助数值积分计算压力上升和摩擦力。给出了压力升高和摩擦力的图形结果，以显示Weissenberg数We，振幅比φ，正切双曲线幂律指数n和半径比φ的物理行为。

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来源
《Journal of aerospace engineering》 |2011年第3期|p.309-317|共9页
作者
S. Nadeem; Noreen Sher Akbar;
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作者单位

Dept. of Mathematics, Quaid-i-Azam Univ., 45320, Islamabad 44000 Pakistan;

Dept. of Mathematics, Quaid-i-Azam Univ., 45320, Islamabad 44000 Pakistan;

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正文语种 eng
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关键词
peristaltic transport; tangent hyperbolic fluid; endoscope; perturbation solution; ham solution; numerical solution;

机译：蠕动运输正切双曲线液;内窥镜摄动解火腿溶液数值解;

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Numerical Analysis of Peristaltic Transport of a Tangent Hyperbolic Fluid in an Endoscope

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