Kasiman Erwan Hafizi, Kueh Ahmad Beng Hong, Mohd Yassin Airil Yasreen, Amin Norsarahaida Saidina, Amran Mugahed, Fediuk Roman, Kotov Evgenii Vladimirovich, Murali Gunasekaran
School of Civil Engineering, Faculty of Engineering, Universiti Teknologi Malaysia (UTM), Johor Bahru 81310, Malaysia.
Department of Civil Engineering, Faculty of Engineering, Universiti Malaysia Sarawak, Kota Samarahan 94300, Malaysia.
Materials (Basel). 2022 Apr 13;15(8):2865. doi: 10.3390/ma15082865.
The article presents the mixed finite element formulation for examining the biomagnetic fluid dynamics as governed by the Navier-Stokes equation, coupled with energy and magnetic expressions. Both ferrohydrodynamics and magnetohydrodynamics describe the additional magnetic effects. For model discretization, the Galerkin weighted residual method was performed. Departing from a good agreement with existing findings, a biomagnetic flow (blood) in a straight rectangular conduit was then simulated in the presence of a spatially changing magnetic distribution. By virtue of negligible spatial variation influence from the magnetic field, the effects of Lorentz force were not presently considered. It was further found that the model accurately exhibits the formation and distribution of vortices, temperature, and skin friction located adjacent to and remotely from the source of magnetic load following a rise in the magnetic intensity.
本文提出了一种混合有限元公式，用于研究由纳维-斯托克斯方程控制的生物磁流体动力学，并结合了能量和磁表达式。铁磁流体动力学和磁流体动力学都描述了附加的磁效应。对于模型离散化，采用了伽辽金加权残值法。与现有研究结果达成良好一致后，在存在空间变化磁分布的情况下，对矩形直管中的生物磁流（血液）进行了模拟。由于磁场的空间变化影响可忽略不计，目前未考虑洛伦兹力的影响。进一步发现，随着磁场强度的增加，该模型能够准确地展现出靠近和远离磁负载源处的涡旋、温度和表面摩擦的形成与分布。
