Abstract

In this research work, we have investigated the Stokesian flow of a micropolar fluid in a cylindrical tube enclosing an impermeable core coated with porous layer in the presence of magnetic field. The axis of the cylinder is taken along the direction of fluid flow and the uniform magnetic field is applied in the direction perpendicular to the axis of the cylinder. Using appropriate boundary conditions, fluid velocities, microrotational velocities and stresses are evaluated for corresponding fluid flow regions. Expressions for volumetric flow rate through the annulus and the filtration velocity are obtained. Graphs of linear velocities, microrotational velocities and flow rate for various values of different parameters are plotted and discussed.

中文翻译：

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磁场对圆柱管内微孔流体流动的影响

摘要

在这项研究工作中，我们研究了在存在磁场的情况下，微极性流体在圆柱管中的斯托克斯流，该圆柱管封闭了包裹有多孔层的不可渗透芯。圆柱的轴线沿流体流动方向获取，并且均匀的磁场沿垂直于圆柱的轴线的方向施加。使用适当的边界条件，对相应的流体流动区域评估流体速度，微旋转速度和应力。得到了通过环的体积流量和过滤速度的表达式。绘制并讨论了不同参数的各种值的线速度，微旋转速度和流速的图表。