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首页> 外文期刊>Applied Mechanics and Engineering >THE EFFECT OF ROTATION ON THERMOSOLUTAL CONVECTION IN A FERROMAGNETIC FLUID
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THE EFFECT OF ROTATION ON THERMOSOLUTAL CONVECTION IN A FERROMAGNETIC FLUID

机译：旋转对铁磁流体中热对流对流的影响

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摘要

The effect of rotation on the thermosolutal convection in a ferromagnetic fluid is analyzed for a fluid layer heated and soluted from below in the presence of a uniform magnetic field. Using the linearized stability theory and the normal mode analysis, an exact solution is obtained for the case of two free boundaries. For the case of stationary convection, non-buoyancy magnetization has a destabilizing effect on the system, whereas the stable solute gradient and rotation have a stabilizing effect on the system for lower values of buoyancy magnetization M_1. The critical magnetic thermal Rayleigh number for the onset of instability is also determined numerically for large values of buoyancy magnetization M_1 and results are depicted graphically. The principle of exchange of stabilities is found to hold true for the ferromagnetic fluid heated from below in the absence of a stable solute gradient and rotation. The oscillatory modes are introduced due to the presence of the stable solute gradient and rotation, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.
机译：对于在均匀磁场存在下从下方加热并溶化的流体层，分析了铁磁流体中旋转对热固对流的影响。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，非浮力磁化对系统具有稳定作用，而对于较低的浮力磁化M_1，稳定的溶质梯度和旋转对系统具有稳定作用。对于浮力磁化强度M_1的较大值，还通过数值确定了不稳定开始的临界磁热瑞利数，并以图形方式描绘了结果。发现在没有稳定的溶质梯度和旋转的情况下，交换稳定性的原理适用于从下方加热的铁磁流体。由于存在稳定的溶质梯度和旋转，因此引入了振荡模式，而稳定的溶质梯度和旋转则不存在。还获得了不存在过度稳定性的充分条件。

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