Numerical and analytical treatment on peristaltic flow of Williamson fluid in the occurrence of induced magnetic field

Numerical and analytical treatment on peristaltic flow of Williamson fluid in the occurrence of induced magnetic field
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感应磁场发生时威廉姆森流体蠕动流动的数值与分析处理

DOI:
10.1016/j.jmmm.2013.07.014
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发表时间:
2013
期刊:
影响因子:
--
通讯作者:
M. Hanif
M. Hanif
中科院分区:
--
文献类型:
--
作者:
S. Akram;S Nadeem;M. Hanif

文献摘要

被引文献

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本文研究了感应磁场对威廉姆森流体模型在非对称通道中蠕动输运的影响。通过使用长波长和低雷诺数近似,问题被简化。给出了摄动解和数值解。计算了压力上升、压力梯度、流函数、磁力函数、电流密度分布的表达式。有关参数的结果进行了讨论图形。文中还讨论了不同波形下的俘获现象。
In this paper the effects of induced magnetic field on the peristaltic transport of a Williamson fluid model in an asymmetric channel has been investigated. The problem is simplified by using long wave length and low Reynolds number approximations. The perturbation and numerical solutions have been presented. The expressions for pressure rise, pressure gradient, stream function, magnetic force function, current density distribution have been computed. The results of pertinent parameters have been discussed graphically. The trapping phenomena for different wave forms have been also discussed.