Saturated Porous Ferroconvection in a Ferrofluid Layer with Viscosity as a Function of Magnetic Field: Focus on Convective Boundary Condition

Rajagopalan Suprabha, Chikkabagilu Rudraiah Mahesha, Chikkanalluru Erappa Nanjundappa
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Abstract

The present work aims to examine the influence of magnetic field dependent (MFD) viscosity on the onset of ferroconvection (FC) in a horizontal porous layer saturated with a quiescent ferrofluid (FF) and subjected to a uniform vertical magnetic field. It is assumed that the porous boundaries at the bottom and top are rigid-paramagnetic. The thermal conditions consist of a constant heat flux at the lower surface and a convective boundary condition at the upper surface, encompassing fixed temperature and uniform heat flux cases. The application of the Galerkin technique to the resulting eigenvalue problem reveals that the stability region expands as the porous parameter, Biot number, MFD viscosity parameter and magnetic susceptibility increase in magnitude. Conversely, the stability region contracts as the magnetic number and non-linearity of magnetization increase. Furthermore, it is noted that under uniform heat flux boundary conditions, the criterion for the initiation of ferroconvection remains unaffected by the non-linearity of fluid magnetization.
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具有粘度的铁流体层中的饱和多孔铁对流与磁场函数:聚焦对流边界条件
本研究旨在探讨磁场相关(MFD)粘度对在水平多孔层中饱和静态铁流体(FF)并受到均匀垂直磁场作用的铁对流(FC)发生的影响。假设底部和顶部的多孔边界为刚性顺磁边界。热条件包括下表面的恒定热通量和上表面的对流边界条件,包括固定温度和均匀热通量两种情况。对由此产生的特征值问题应用 Galerkin 技术后发现,稳定区域随着多孔参数、Biot 数、MFD 粘度参数和磁感应强度的增加而扩大。相反,随着磁数和磁化非线性的增加,稳定区域会缩小。此外,我们还注意到,在均匀热通量边界条件下,铁对流的启动标准不受流体磁化非线性的影响。
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来源期刊
Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
Journal of Advanced Research in Fluid Mechanics and Thermal Sciences Chemical Engineering-Fluid Flow and Transfer Processes
CiteScore
2.40
自引率
0.00%
发文量
176
期刊介绍: This journal welcomes high-quality original contributions on experimental, computational, and physical aspects of fluid mechanics and thermal sciences relevant to engineering or the environment, multiphase and microscale flows, microscale electronic and mechanical systems; medical and biological systems; and thermal and flow control in both the internal and external environment.
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