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Peristaltic motion of Phan-Thien-Tanner fluid in the presence of slip condition

机译:滑移条件下潘添坦纳流体的蠕动

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摘要

This investigation considers the peristaltic flow of a Phan-Thien-Tanner fluid in the presence of slip condition and induced magnetic field. By use of the long wavelength and low Reynolds number approximations, closed form series solutions for stream function, pressure gradient, magnetic force function, axial induced magnetic field, and current density were obtained. The pressure gradient and frictional forces per wavelength were computed by numerical integration. The velocity slip condition in terms of shear stress is taken into account. Graphical results show the comparison between no-slip and viscous fluid cases. Pumping and trapping phenomena are discussed.
机译:这项研究考虑了在存在滑移条件和感应磁场的情况下,Phan-Thien-Tanner流体的蠕动流动。通过使用长波长和低雷诺数近似,获得了关于流函数,压力梯度,磁力函数,轴向感应磁场和电流密度的闭合形式级数解。通过数值积分计算每个波长的压力梯度和摩擦力。考虑了以剪切应力为单位的速度滑移条件。图形结果显示了防滑和粘性液体情况的比较。讨论了泵送和捕集现象。

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