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Numerical simulations of magnetorheological fluids flowing between two fixed parallel plates

机译：在两个固定平行板之间流动的磁流变流体的数值模拟

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In this paper, a study on the motion of a magnetorheological fluid (MRF) under application of a magnetic external field is presented. The magnetic field is perpendicular to two nonconducting flat parallel plates which are stationary. Numerical simulations are provided by an in-house CFD code developed by the authors and adapted to include the magnetohydrodynamics (MHD) field equations. Solutions studied show how these magnetic fields can modify both the velocity profile and the pressure drop along the channel. Numerical solutions are firstly compared with analytical ones in some simple cases in order to verify the computational code. Relative errors remained around 10(-4). A second test was set up where a magnetic field is applied only in a portion of the channel in order to control the flowrate. The results showed that with strong magnetic fields, the flowrate could be reduced up to 90% from a normal state, i.e. B = 0 T. The maximum velocity at the centreline shows a peak at the outlet of the region where the magnetic field is applied due to the acceleration of the fluid when the magnetic forces disappear. When employing the code in a geometry similar to that presented in a previous paper in which the authors used a commercial code, some discrepancies were found, especially at the edges of the zone where the magnetic field was applied. Some speculations about this disagreement are put forward. (C) 2019 Elsevier Inc. All rights reserved.
机译：本文提出了在磁场作用下磁流变流体（MRF）运动的研究。磁场垂直于两个固定的不导电平板平行板。数值模拟由作者开发的内部CFD代码提供，并适用于包括磁流体动力学（MHD）场方程。研究的解决方案表明，这些磁场如何改变通道的速度分布和压降。首先在一些简单的情况下将数值解与解析解进行比较，以验证计算代码。相对误差保持在10（-4）左右。设置第二测试，其中仅在通道的一部分中施加磁场以控制流速。结果表明，在强磁场下，流量可以从正常状态降低到90％，即B = 0T。中心线处的最大速度在施加磁场的区域的出口处显示一个峰值。由于当磁力消失时流体的加速。当使用类似于以前论文中使用商业代码的论文中介绍的几何形状的代码时，发现了一些差异，尤其是在施加磁场的区域的边缘。对这种分歧提出了一些推测。 （C）2019 Elsevier Inc.保留所有权利。

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