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本文利用分叉理论研究了流体饱和的二维多孔介质从底部加热所引起的自然对流。用有限差分方法确定对流的分叉进程 ;揭示其模式转换机理及分叉对非正常流动图象形成的影响 ;同时确定了矩形截面宽高比与临界瑞利数的关系。还提出了一个判别分支稳定性的简明方法。
In this paper, the bifurcation theory is used to study the natural convection caused by the heating of the two-dimensional fluid-saturated porous media from the bottom. The finite difference method was used to determine the convection bifurcation process. The mechanism of the mode transition and the effect of bifurcation on the formation of abnormal flow images were revealed. The relationship between the aspect ratio and the critical Rayleigh number was also determined. A concise method of discriminating branch stability is also proposed.