High population density in major cities has led to compact designs of residential multi-story buildings. Consequently, it is a natural choice of the architects to suggest the location of high-voltage wires close to the ducts with contaminated air. This observation results in the motivation for this study, i.e., the understanding of the complicated interaction of the Lorentz force (due to the current-carrying wire) with the micropolar flow in the vertical direction in the duct, with polluted air (containing dust particles) being modeled as a micropolar fluid, which is driven by some external pressure gradient. Therefore, this study focuses on an incompressible and electrically conducting micropolar fluid flow through a rectangular vertical duct, in the presence of a current-carrying wire placed outside the flow regime. The governing equations, after being translated into a dimensionless form, are solved numerically using a finite volume approach. The velocity, microrotation, and temperature fields thus obtained are examined. It has been noted that the strong magnetic force caused by the wire may distort the flow symmetry and slows down the flow. Furthermore, in the absence of wire, particles spinning in clockwise and counter-clockwise directions occupy the same amount of space in the duct, thus incorporating a sort of equilibrium in the duct. However, the imposed variable magnetic field adds to the spinning of particles in one part of the duct, while simultaneously suppressing it in the other region.

中文翻译：

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压力驱动管道流中的微流体结构与附近放置的载流导线的相互作用：数值研究

主要城市的高人口密度导致多层住宅建筑设计紧凑。因此，建筑师自然选择建议将高压电线放置在靠近空气污染管道的位置。这一观察结果激发了这项研究的动机，IE，了解洛伦兹力（由于载流导线）与管道中垂直方向的微极性流的复杂相互作用，将污染空气（包含灰尘颗粒）建模为微极性流体，该流体被驱动通过一些外部压力梯度。因此，本研究的重点是在存在放置在流态之外的载流导线的情况下，不可压缩且导电的微极性流体流过矩形垂直管道。控制方程转换为无量纲形式后，使用有限体积方法进行数值求解。检查由此获得的速度、微旋转和温度场。人们注意到，由导线引起的强磁力可能会扭曲流动对称性并减慢流动速度。此外，在没有金属丝的情况下，顺时针和逆时针方向旋转的颗粒在管道中占据相同的空间，从而在管道中实现某种平衡。然而，施加的可变磁场增加了管道一部分中粒子的旋转，同时抑制了另一区域中的粒子旋转。