Abstract In the present study natural convection heat transfer from three differently bent shapes (linear, circular, and parabolic) has been investigated numerically for laminar flow in the range of Ra from 103 to 106. The simulations are carried out for different orientations by varying X/L from 1 to 0.3 keeping the surface area same for all the shapes. The present numerical study is able to capture a complete and very interesting picture of temperature plume and flow field over the bent plates. From the numerical results, it has been observed that heat loss from an upward bent plate is more compared to a downward bent plate for all the shapes at same Ra. Parabolically bent plate is most effective in losing heat compared to a linearly and circularly bent plate of same area. There is an optimum X/L for maximum heat loss for bent plate; further bending the plate reduces heat transfer slightly. The effects of parameters like X/L, Ra on average Nu from the top and bottom surface, total heat transfer, skin friction coefficient, temperature plume, and flow field are shown in the study which would enrich the literature archive tremendously.

中文翻译：

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线性、圆形和抛物线弯曲板的自然对流传热：形状效应研究

摘要 在目前的研究中，对从 103 到 106 的 Ra 范围内的层流的三种不同弯曲形状（线性、圆形和抛物线）的自然对流热传递进行了数值研究。通过改变 X 对不同方向进行模拟/L 从 1 到 0.3 保持所有形状的表面积相同。目前的数值研究能够捕捉到弯曲板上温度羽流和流场的完整且非常有趣的图片。从数值结果可以看出，对于相同 Ra 的所有形状，向上弯曲的板的热损失比向下弯曲的板更多。与相同面积的线性和圆形弯曲板相比，抛物线弯曲板在散热方面最有效。弯板最大热损失有一个最佳X/L；进一步弯曲板会稍微减少传热。研究显示了 X/L、Ra 等参数对顶面和底面的平均 Nu、总传热、皮肤摩擦系数、温度羽流和流场的影响，这将极大地丰富文献档案。