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Exploration of energy‐based volumetric heating on ferrothermal porous convection: Effects of MFD viscosity and boundary conditions
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机译：Exploration of energy‐based volumetric heating on ferrothermal porous convection: Effects of MFD viscosity and boundary conditions
The impact of energy‐based volumetric internal heating and magnetic field‐dependent (MFD) viscosity on the onset of ferrothermal porous convection for different types of boundary conditions is investigated. The lower and upper boundaries are considered to be either rigid or stress‐free. The lower boundary is insulating, while at the upper boundary a Robin type of thermal condition is applied. Besides this, a general type of boundary conditions is invoked on the magnetic potential. The stability eigenvalue problem is solved numerically using the Galerkin‐type of weighted residuals technique with the Rayleigh number, R t ${R}_{t}$ as the eigenvalue. The results obtained for different boundary combinations are found to be qualitatively similar though not quantitatively. The effect of Biot number, MFD viscosity, and porous parameters is to hinder, while the influence of internal heat source strength, magnetic number, and the nonlinearity of fluid magnetization is to advance the onset of convection. The rigid and conducting boundaries offer a more stabilizing influence on the onset when compared to stress‐free and insulating boundaries. The convection cells get contracted the most when the boundaries are rigid and also when the upper boundary is conducting. The results delineated under the limiting cases are found to be in good agreement with those available in the literature.
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机译：基于能源的体积内部的影响加热和磁场依赖(摘要)粘度ferrothermal多孔的发病对流为不同类型的边界研究条件。被认为是刚性或边界压力的自由。在罗宾类型的上限应用热条件。调用通用类型的边界条件磁势。问题是数值求解使用伽辽金加权残差技术的类型R与瑞利数,R t $ {} _ {t}的美元特征值。发现边界组合虽然不是定量定性相似。毕奥数的影响,通过粘度,多孔参数是阻碍,而内部热源强度的影响,磁号和流体的非线性磁化是进步的开始对流。提供更稳定的对发病的影响相比强调自由和绝缘边界。最当边界过于僵化和也上边界时进行。结果极限情况下划定发现是在良好的协议在文献中可用。
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