Transitions of natural convection in a horizontal annulus
Transitions of natural convection in a horizontal annulus
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DOI：
10.1016/s0017-9310(00)00188-5
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发表时间：
2001-03
影响因子：
5.2
通讯作者：
J. Mizushima;S. Hayashi;T. Adachi
中科院分区：
文献类型：
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作者：
J. Mizushima;S. Hayashi;T. Adachi
在假设二维不可压缩流场的基础上，从理论上研究了水平同心圆柱体之间环空内自然对流的转变。假设内筒保持在比外筒更高的温度。数值模拟证实，当Rayleigh数大于某一临界值时，存在对偶稳定定常解。用牛顿-拉夫森方法得到了内筒直径与间隙宽度之比不同时的定常解的分岔图，并对其线性稳定性进行了研究。通过分叉分析，阐明了对偶解的来源。
Transitions of natural convection in an annulus between horizontal concentric cylinders are investigated theoretically by assuming two-dimensional and incompressible flow fields. It is assumed that the inner cylinder is kept at a higher temperature than the outer cylinder. It is confirmed by numerical simulations that dual stable steady solutions exist for Rayleigh numbers larger than a critical value. Bifurcation diagrams of the steady solutions are obtained by Newton–Raphson's method for various values of ratio of the inner cylinder diameter to the gap width and their linear stability is investigated. The origin of the dual solutions is clarified from the bifurcation analysis.