滑移和感应磁场对Johnson-Segalman流体蠕动传输的影响

T·哈亚特; K·诺琳; A·艾尔萨额蒂

doi:10.3879/j.issn.1000-0887.2012.08.006

滑移和感应磁场对Johnson-Segalman流体蠕动传输的影响

doi: 10.3879/j.issn.1000-0887.2012.08.006

真纳大学数学系 45320,伊斯兰堡 44000,巴基斯坦;
COMSATS信息技术学院数学系,阿托克 43600,巴基斯坦;

基金项目: 巴基斯坦高等教育委员会(HEC)资助项目(074-2997-P-S4-021)

详细信息

中图分类号: O357.2
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出版历程
- 收稿日期: 2011-01-04
- 修回日期: 2012-04-25
- 刊出日期: 2012-08-15

Slip and Induced Magnetic Field Effects on the Peristaltic Transport of a Johnson-Segalman Fluid

¹Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;²Department of Mathematics, Comsats Institute of Information Technology, Attock 43600, Pakistan;³Department of Mathematics, Faculty of Science, King Adbulaziz University,Jeddah 21589, Saudi Arabia

摘要

摘要: 存在感应磁场和滑移条件下，研究Johnson-Segalman(J-S)流体在平面通道中的蠕动流．通道中的流动认为是对称的，并在剪切应力项中考虑了速度的滑移条件．首先给出问题的数学公式，然后在长波长和低Reynolds数近似下，求解该方程组得到摄动解，确定沿管道截面的压力增量、轴向速度、微转动分量、流函数、磁力函数、轴向感应磁场和电流密度分布公式．导出了小数值Weissenberg数时解的表达式，分析并勾画出诸流动物理量的有趣变化．
- 感应磁场 /
- 滑移条件 /
- Johnson-Segalman流体
Abstract: Peristaltic flow of a Johnson-Segalman fluid in a planar channel was investigated in the presence of an induced magnetic field and slip condition. Symmetric nature of flow in a channel was adopted. The velocity slip condition in terms of shear stress was taken into account. Mathematical formulation was first presented and then the subjected equations were solved under the long wavelength and low Reynolds number approximations. Perturbations solutions were established for the pressure rise, axial velocity, microrotation component, stream function, magnetic-force function, axial induced magnetic field, and current distribution across the channel. Solution expressions for small Weissenberg number were derived. The flow quantities of interest were sketched and analyzed.
- induced magnetic field /
- slip condition /
- Johnson-Segalman fluid

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参考文献(35)

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