Purpose

The Purpose of this study to examine the magneto hydrodynamics (MHD) using the analytical and numerical tool. In recent years, MHD growing tremendously due to the presence of multidisciplinary application in solving the tedious problems in the viscous flow.

Design/methodology/approach

The flows between the parallel plates under the steady inclined magneto hydrodynamic force were studied under the presence of different hall current and pressure gradient. The system was designed with the Darcian porous medium subjected to the incompressible flow. To analyse the flow reactions through stationary parallel plates, the governing equations were used using the integral transformation.

Findings

The velocity of the flows depends on the Hall parameter. As the intensity of the magnetic field increases the velocity of the flow is affected significantly. On the other hand, the radiation parameters also affect the flow of any medium through the porous medium.

Practical implications

Implementation of the Laplace and Fourier transform increases the reliability of the obtained results and further decreases the uncertainty during the measurement of the velocity of the flow without any restraints.

Originality/value

From the evident results, it is clear that the proposed MHD model can be applied to several operations of the fluid dynamic models. Further, the application of this technique will decrease the uncertainty in the results compared to the conventional computational models and other finite element and difference approaches.

中文翻译：

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霍尔电流影响下通过不同倾斜磁场的平行板的旋转流动

目的

本研究的目的是使用分析和数值工具检查磁流体动力学 (MHD)。近年来，由于多学科应用的出现，MHD在解决粘性流动中的繁琐问题方面得到了极大的发展。

设计/方法/方法

研究了不同霍尔电流和压力梯度下平行板间在稳态倾斜磁流体动力作用下的流动。该系统采用达西多孔介质进行不可压缩流动设计。为了分析通过静止平行板的流动反应，使用积分变换使用控制方程。

发现

流动的速度取决于霍尔参数。随着磁场强度的增加，流动的速度受到显着影响。另一方面，辐射参数也影响任何介质通过多孔介质的流动。

实际影响

拉普拉斯和傅里叶变换的实施提高了所得结果的可靠性，并进一步降低了在没有任何限制的情况下测量流速的不确定性。

原创性/价值

从明显的结果可以看出，所提出的 MHD 模型可以应用于流体动力学模型的多种操作。此外，与传统的计算模型和其他有限元和差分方法相比，该技术的应用将减少结果的不确定性。