【摘要】 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。更多还原

【Abstract】 HT5SS]In this paper, natural convection in two\|dimensional fluid saturated porous cavity heated from below is studied by bifurcation theory. Finite difference methods are used to determine the bifurcation processes and to reveal modal exchange mechanisms and their influence on the formation of flow patterns. The effect of aspect ration on critical Rayleigh number are computed by continuation methods. And a brief method to distinguish stability of solution branches is developed.更多还原