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首页> 外文期刊>Journal of Heat Transfer >Natural Convection Patterns in Right-Angled Triangular Cavities With Heated Vertical Sides and Cooled Hypotenuses
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Natural Convection Patterns in Right-Angled Triangular Cavities With Heated Vertical Sides and Cooled Hypotenuses

机译：垂直侧面加热且斜边冷却的直角三角形空腔中的自然对流模式

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摘要

The present investigation deals with the numerical computation of laminar natural convection in a gamma of right-angled triangular cavities filled with air. The vertical walls are heated and the inclined walls are cooled while the upper connecting walls are insulated from the ambient air. The defining apex angle α is located at the lower vertex formed between the vertical and inclined walls. This unique kind of cavity may find application in the miniaturization of electronic packaging severely constrained by space and/or weight. The finite volume method is used to perform the computational analysis encompassing a collection of apex angles α compressed in the interval that extends from 5° to 63°. The height-based Rayleigh number, being unaffected by the apex angle α, ranges from a low 10{sup}3 to a high 10{sup}6. Numerical results are reported for the velocity field, the temperature field and the mean convective coefficient along the heated vertical wall. Overall, the matching between the numerically predicted temperatures and the experimental measurements of air at different elevations inside a slim cavity is of ordinary quality. For purposes of engineering design, a (Nu{sub}H){top}- correlation equation was constructed and also a figure-of-merit ratio between the (Nu{sub}H){top}- and the cross sectional area A of the cavity was proposed.
机译：本研究涉及在充满空气的直角三角形空腔的γ中层流自然对流的数值计算。垂直壁被加热，倾斜壁被冷却，而上部连接壁与周围空气隔离。限定顶角α位于在垂直壁和倾斜壁之间形成的下顶点。这种独特的腔体可用于受到空间和/或重量严格限制的电子包装的小型化。有限体积法用于执行计算分析，该计算分析包含在从5°到63°的间隔中压缩的顶角α的集合。不受顶角α影响的基于高度的瑞利数范围从低10 {sup} 3到高10 {sup} 6。报告了沿加热垂直壁的速度场，温度场和平均对流系数的数值结果。总的来说，数值预测的温度与细长空腔内不同高度的空气的实验测量值之间的匹配是普通质量。出于工程设计的目的，构造了（Nu {sub} H）{top}-相关方程，并且还建立了（Nu {sub} H）{top}-与横截面积A之间的品质因数比。提出了腔的设计。

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