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首页> 外文期刊>Transport in Porous Media >The Effect of Magnetic Field Dependent Viscosity on Thermosolutal Convection in a Ferromagnetic Fluid Saturating a Porous Medium
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The Effect of Magnetic Field Dependent Viscosity on Thermosolutal Convection in a Ferromagnetic Fluid Saturating a Porous Medium

机译：磁场依赖性粘度对饱和多孔介质中铁磁流体中热固溶对流的影响

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摘要

The effect of magnetic field dependent viscosity on thermosolutal convection in a ferromagnetic fluid saturating a porous medium is considered for a fluid layer heated and soluted from below in the presence of uniform magnetic field. Using linearized stability theory and normal mode analysis, an exact solution is obtained for the case of two free boundaries. For case of stationary convection, medium permeability has a destabilizing effect, whereas a stable solute gradient and magnetic field dependent viscosity have a stabilizing effect on the system. In the absence of magnetic field dependent viscosity, the destabilizing effect of non-buoyancy magnetization is depicted but in the presence of magnetic field dependent viscosity non-buoyancy magnetization may have a destabilizing or stabilizing effect on the onset of instability. The critical wave number and the critical magnetic thermal Rayleigh number for the onset of instability are also determined numerically for sufficiently large values of buoyancy magnetization parameter M_1 and the results are depicted graphically. The principle of exchange of stabilities is found to hold true for the ferromagnetic fluid saturating a porous medium heated from below in the absence of stable solute gradient. The oscillatory modes are introduced due to the presence of the stable solute gradient, which were non-existent in its absence. A sufficient condition for the non-existence of overstability is also obtained. The paper also reaffirms the qualitative findings of earlier investigations which are, in fact, limiting cases of the present study.
机译：对于在均匀磁场存在下从下方加热并溶化的流体层，考虑了磁场粘度对饱和多孔介质的铁磁流体中热固溶对流的影响。使用线性化稳定性理论和正态分析，可以获得两个自由边界情况的精确解。对于固定对流，介质的渗透性具有稳定作用，而稳定的溶质梯度和磁场依赖性粘度则对系统具有稳定作用。在不存在磁场依赖性粘度的情况下，描绘了非浮力磁化的去稳定作用，但是在存在磁场依赖性粘度的情况下，非浮力磁化可能对不稳定性的开始具有去稳定作用或稳定作用。对于浮力磁化参数M_1足够大的值，还通过数值确定了不稳定开始的临界波数和临界磁热瑞利数，并以图形方式描绘了结果。发现在不存在稳定溶质梯度的情况下，对于从下方加热的多孔介质饱和的铁磁流体，交换稳定性的原理仍然成立。由于存在稳定的溶质梯度，因此引入了振荡模式，而稳定的溶质梯度在不存在时不存在。还获得了不存在过度稳定性的充分条件。该文件还重申了先前研究的定性发现，这些发现实际上限制了本研究的案例。

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