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首页> 外文期刊>International journal of non-linear mechanics >Magnetohydrodynamic thermal instability in a conducting fluid layer with throughflow
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Magnetohydrodynamic thermal instability in a conducting fluid layer with throughflow

机译：具有通流的导电流体层中的磁流体动力学热不稳定性

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摘要

An analysis is made of the effect of vertical throughflow on the onset of thermal convection in a horizontal layer of an electrically conducting fluid contained between two rigid permeable plates and heated from below in the presence of a uniform vertical magnetic field. The constant throughflow is measured by Peclet number Q and at both boundaries heat flux is held constant It is found that when both boundaries are perfectly electrically conducting, the critical value of Rayleigh number R_t~c at the onset of steady convection increases with increase in Q for given values of the magnetic parameter R_h, the Prandtl number p_1 and the magnetic Prandtl number p_2 with p_1 > p_2. It is observed that the magnetic field inhibits the onset of steady convection. The analysis further reveals that R_t~c is independent of the sign of Q. When the lower plate is electrically non-conducting and the upper plate is perfectly electrically conducting, R_t~c is greater than the corresponding value of R_t~c for perfectly conducting plates for given values of Q, R_h, p_1 and p_2. It is also found that the positive throughflow (Q > 0) is more stabilizing than the negative one (Q < 0). The results are exemplified by considering some realistic cases e.g., liquid sodium and gallium.
机译：分析垂直通流对导电流体水平层中热对流开始的影响，该导电层包含在两个刚性可渗透板之间并在均匀的垂直磁场存在下从下方加热。通过Peclet数Q来测量恒定的通流，并且在两个边界处的热通量都保持恒定。发现，当两个边界都完全导电时，在稳定对流开始时瑞利数R_t〜c的临界值随Q的增加而增加对于给定的磁参数R_h值，普朗特数p_1和磁普朗特数p_2具有p_1> p_2。观察到磁场抑制了稳定对流的发生。分析进一步表明，R_t〜c与Q的符号无关。当下板不导电且上板完全导电时，R_t〜c大于R_t〜c的对应值以实现完美导电给定值Q，R_h，p_1和p_2的极板。还发现正流量（Q> 0）比负流量（Q <0）更稳定。通过考虑一些实际情况例如液体钠和镓来举例说明该结果。

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