| 多孔介质中二维对流传热的分叉 |
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| 引用本文： | 孔祥言,鹿蓬勃.多孔介质中二维对流传热的分叉[J].计算力学学报,2000,17(3):253-259. |
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| 作者姓名： | 孔祥言 鹿蓬勃 |
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| 作者单位： | 中国科学技术大学,力学系,合肥,230027 |
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| 基金项目： | 国家自然科学基金资助项目!( 1 9772 0 53 ) |
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| 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端利数的关系。还提出了一个判别分支稳定笥的简明方法。
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| 关 键 词： | 多孔介绍 自然对流 分叉 稳定性 非线性 传热 |
| 修稿时间： | 1998-11-04 |
A bifurcation study of two-dimensional convection heat transfer in porous media |
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| KONG Xiang\|yan,LU Peng\|bo,WU Jian\|bing.A bifurcation study of two-dimensional convection heat transfer in porous media[J].Chinese Journal of Computational Mechanics,2000,17(3):253-259. |
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| Authors: | KONG Xiang\|yan LU Peng\|bo WU Jian\|bing |
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| 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. |
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| Keywords: | porous media natural convection bifurcation stability nonlinear |
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