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Constructal design of flat tubes cooled by natural convection

机译：天然对流冷却的平管的建设设计

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A set of vertical flat tubes cooled by natural convection and placed in a finite size space is designed based on the constructal law. The constraint in this design is the size of the space where the tubes are placed. The freedom inside the space is the distance between the tubes. When the constructal law is applied, the optimal distance between the tubes is determined. Rayleigh numbers are taken as (Ra = 10~3, 10~4, and 10~5). The dimensionless tube diameter (tube diameter/tube height) is changed from (D* = 0.2) to (D* = 1) (circular tube). All the tubes are heated to the same wall temperature. The air used to cool the tubes has a Prandtl number (Pr = 0.72). The equations of conservation of mass, momentum, and energy for steady, two-dimensional, and incompressible flow are solved by the finite volume method. The result showed that the best or optimal distance at a given Rayleigh number remains constant for all tube diameters. The result also showed that the number of the small diameter tubes must be more than the number of the large-diameter tubes for the same Rayleigh number and the same size of the space to make the heat flow from the tubes to the coolant easier.
机译：通过自然对流冷却的一套垂直扁平管，基于建设性定律设计在有限尺寸空间中。该设计中的约束是放置管的空间的尺寸。空间内的自由是管之间的距离。当施加构造法时，确定管之间的最佳距离。 Rayleigh号码被视为（Ra = 10〜3,10〜4和10〜5）。无量纲管直径（管直径/管高）从（D * = 0.2）变为（D * = 1）（圆形管）。所有管都加热到相同的壁温。用于冷却管的空气具有Prandtl号（Pr = 0.72）。通过有限体积法解决了质量，动量和可不可压缩流动的质量，动量和能量的方程。结果表明，给定瑞利数的最佳或最佳距离对所有管直径保持恒定。结果还表明，小直径管的数量必须大于相同瑞利数量的大直径管的数量和相同的空间尺寸，以使热流从管中更容易地从管中流动。

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