Abstract This work investigates the ferrohydrodynamic flow between a rotating disk and a rod in order to optimize the use of ferrofluids for liquid seals in a rotating system. Rotational viscosity effects in the flow, due to the difference of rotation between the magnetic particles and fluid in the presence of a magnetic field, are considered in the present mathematical model. The magnetic field on the disk has been directed in the radial and tangential directions and its impact on the momentum and energy equations has been considered. Similarity transformation has been used to transform the equations of the developed mathematical model into a dimensionless form. The transformed system of equations has been solved numerically with the help of the COMSOL Multiphysics software in the framework of a finite element method. The results for radial, tangential, and axial velocity distributions along with heat transfer analysis have been presented in the presence of physical parameters involved in the problem. The radius of the rod and magnetization force plays a crucial role in the velocity distribution and heat transfer enhancement.

中文翻译：

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通过数学建模研究旋转系统中的铁磁流体流动

摘要 这项工作研究了旋转盘和杆之间的铁磁流体动力学流动，以优化铁磁流体在旋转系统中用于液体密封的使用。在本数学模型中考虑了由于在磁场存在下磁性粒子和流体之间的旋转差异导致的流动中的旋转粘度效应。圆盘上的磁场指向径向和切线方向，并考虑了它对动量和能量方程的影响。相似变换已被用于将开发的数学模型的方程转换为无量纲形式。已在 COMSOL Multiphysics 软件的帮助下，在有限元方法的框架内对变换后的方程组进行了数值求解。径向的结果，切向和轴向速度分布以及传热分析已经在存在问题中涉及的物理参数的情况下进行了介绍。棒的半径和磁化力在速度分布和传热增强中起着至关重要的作用。