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首页> 外文期刊>JSME International Journal. Series B, Fluids and Thermal Engineering >Effects of Sidewall Temperature on the Flow Pattern and the Bifurcation to Chaos of Rayleigh-Benard Cells in an Enclosure (Aspect Ratio of Enclosure : 6:4:1)
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Effects of Sidewall Temperature on the Flow Pattern and the Bifurcation to Chaos of Rayleigh-Benard Cells in an Enclosure (Aspect Ratio of Enclosure : 6:4:1)

机译:侧壁温度对机柜中瑞利-贝纳德细胞流动模式和分叉的影响(机柜的纵横比:6:4:1)

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摘要

Experimental and numerical studies relating to the effects of sidewall temperatures on the flow pattern and the bifurcation to chaos of Rayleigh-Benard cells in a rectangular enclosure with a length : width : height aspect ratio of 6 : 4 :1 are presented. Experiments were carried out using air with several Rayleigh numbers (Ra) of up to 32000. At Ra = 8 000 there appear three steady flow patterns consisting of the following: four transversal rolls with axes parallel to the short sidewalls, two cells, and two longitudinal rolls with axes parallel to the long sidewalls. At Ra = 8 200, the pattern consisting of two longitudinal rolls begins firstly to exhibit time-dependent sinuous oscillatory flow among three steady flow patterns. The resulting sinuous oscillation takes the form of a standing wave. Further increase of Ra results in a series of successive subharmonic bifurcations and eventually chaos. Furthermore, it was found that the dependence on Ra of the peak oscillation frequency f changes at Ra=20 000 due to a change of the dynamical mode in the two oscillatory rolls. Both the two-cell pattern and the two-longitudinal-roll pattern undergo a series of successive subharmonic bifurcations, but the changes in the spatial structure exhibited by each through these bifurcations are quite different.
机译:实验和数值研究涉及到侧壁温度对流动模式的影响以及在长宽比为6:4:1的矩形外壳中瑞利贝纳德细胞的分叉和混沌的呈现。使用具有高达32000的几个瑞利数(Ra)的空气进行实验。在Ra = 8 000时,出现了三种稳定的流动模式,包括以下内容:四个与短侧壁平行的轴的横向辊,两个单元和两个纵向轧辊,其轴线平行于长侧壁。在Ra = 8 200时,由两个纵向辊组成的模式首先开始在三个稳定流模式中显示出时间相关的正弦振荡振荡流。产生的正弦振荡采取驻波的形式。 Ra的进一步增加导致一系列连续的次谐波分叉,并最终导致混乱。此外,发现由于两个振荡辊中动态模式的改变,峰值振荡频率f对Ra的依赖性在Ra = 20000时改变。两个单元的模式和两个纵向滚动模式都经历了一系列连续的次谐波分叉,但是每个通过这些分叉所展现的空间结构的变化是完全不同的。

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