Kumar Deepak, Sarangi Somnath
Department of Mechanical Engineering, Maulana Azad National Institute of Technology Bhopal, Bhopal, Madhya Pradesh, 462003, India.
Department of Mechanical Engineering, Indian Institute of Technology Patna, Patna, 801103, India.
Sci Rep. 2022 Mar 17;12(1):4584. doi: 10.1038/s41598-022-08549-7.
The present article deals with a continuum mechanics-based method to model an electro-magneto-rheological (EMR) fluid deformation subjected to an electromagnetic field. The proposed method follows the fundamental laws of physics, including the principles of thermodynamics. We start with the general balance laws for mass, linear momentum, angular momentum, energy, and the second law of thermodynamics in the form of Clausius-Duhem inequality with Maxwell's equations. Then, we formulated a generalized constitutive model for EMR fluids following the representation theorem. Later, we validate the model with the results of an EMR rheometer and ER fluid valve system-based configurations. At last, the possible simulation-based velocity profiles are also discussed for parallel plate configuration. As a result, we succeed in providing more physics-based analytical findings than the existing studies in the literature.
本文介绍了一种基于连续介质力学的方法，用于模拟在电磁场作用下的电磁流变（EMR）流体变形。所提出的方法遵循物理基本定律，包括热力学原理。我们从质量、线性动量、角动量、能量的一般平衡定律以及以克劳修斯 - 杜亥姆不等式形式表示的热力学第二定律和麦克斯韦方程组入手。然后，根据表示定理为EMR流体建立了广义本构模型。随后，我们用基于EMR流变仪和电流变（ER）流体阀系统配置的结果对模型进行了验证。最后，还讨论了平行板配置下基于模拟的可能速度分布。结果，我们成功地提供了比文献中现有研究更多基于物理的分析结果。
