SERIES SOLUTIONS FOR THE STAGNATION FLOW OF A MAXWELL FLUID OVER A SHRINKING SHEET

S. Nadeem; Noreen Sher Akbar; Ahmet Yildirm; Anwar Hussain; Mohamed Ali

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SERIES SOLUTIONS FOR THE STAGNATION FLOW OF A MAXWELL FLUID OVER A SHRINKING SHEET

机译：收缩板上方麦克斯韦流体滞留流的级数解

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The present paper describes the analytical solutions for the steady boundary-layer flow of a Maxwell fluid over a shrinking sheet. The governing equations of motion are reduced into the set of nonlinear ordinary differential equations by using similarity transformations. Two types of problems, namely, (i) two-dimensional stagnation flow towards a shrinking sheet and (ii) axi-symmetric stagnation flow towards an axisymmetric shrinking sheet have been discussed. The series solutions of the problems are obtained by using the homotopy analysis method (HAM). Convergence of the obtained series solutions is analyzed and discussed in detail through graphs for various parameters of interest.

机译：本文描述了麦克斯韦流体在收缩片材上稳定边界层流动的解析解。通过使用相似变换，将运动的控制方程简化为一组非线性常微分方程。已经讨论了两种类型的问题，即（i）朝向收缩片的二维停滞流和（ii）朝向轴对称的收缩片的轴对称停滞流。通过使用同伦分析方法（HAM）获得了一系列问题的解决方案。通过图表分析和讨论了所获得的级数解的收敛性。

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来源
《Composites: mechanics, computations, applications》 |2011年第4期|297-311|共15页
作者
S. Nadeem; Noreen Sher Akbar; Ahmet Yildirm; Anwar Hussain; Mohamed Ali;
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作者单位

Department of Mathematics, Quaid-i-Azam University 45320,Islamabad 44000, Pakistan;

Department of Mathematics, Quaid-i-Azam University 45320,Islamabad 44000, Pakistan;

Ege University Science Faculty, Department of Mathematics,35100 Bornova Izmir, Turkey;

Department of Mathematics, Quaid-i-Azam University 45320,Islamabad 44000, Pakistan;

Mechanical Engineering Department, King Saud University, Saudi Arabia;

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原文格式 PDF
正文语种 eng
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关键词
stagnation flow; maxwell fluid; shrinking sheet; series solutions;

机译：滞流麦克斯韦流体收缩片系列解决方案;

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SERIES SOLUTIONS FOR THE STAGNATION FLOW OF A MAXWELL FLUID OVER A SHRINKING SHEET

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