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Limiting cross-flow velocity below which heat flux is determined by natural convection laws

机译:极限横流速度,低于该速度时,热流由自然对流法则确定

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In estimating heat flux or heat transfer rates in technological or meteorological applications, we propose here that a parameter of considerable interest is the limiting value of the cross-flow velocity upto which the heat flux is given by the free convection laws to a sufficiently good approximation. The question of determining this limiting value is addressed here by analysing available data in three geometries: sphere, flat plate and cylinder. It is found that, in each case, the limiting velocity can be concisely and elegantly expressed in terms of the 'internal' Froude number, which is related to a parameter introduced by Klyachko [Trans. ASME J. Heat Transfer 85 (1963) 355] in his work on heat transfer from spheres. We find that departure of the heat flux from the value for natural convection (to within 5%) occurs when the internal Froude number exceeds a limiting value, which is found to be about 0.063 for sphere, about 1.93 for flat plate and about 1.65 for cylinder. The critical cross-flow velocity upto which natural convection provides a good approximation thus appears to be very much larger in 2D than in 3D flows for comparable characteristic length scales.
机译:在估算技术或气象应用中的热通量或传热速率时,我们在此建议,一个值得关注的参数是横流速度的极限值,自由对流定律给出的热通量的极限值足够好近似。通过分析三种几何形状中的可用数据(球体,平板和圆柱体)来解决确定此极限值的问题。已经发现,在每种情况下,极限速度都可以用“内部”弗洛德数简明地表示,该数与由Klyachko [Trans。 ASME J. Heat Transfer 85(1963)355]在他的研究中。我们发现,当内部弗洛德数超过极限值时,就会发生热通量偏离自然对流值(至5%以内)的情况,该极限值对于球体约为0.063,对于平板约为1.93,对于平板约为1.65。圆筒。自然对流可提供良好近似的临界横流速度因此对于可比较的特征长度尺度,在2D流中似乎比在3D流中大得多。

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