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Numerical study of heat transfer by laminar and turbulent natural convection in tall cavities of facade elements

机译：立面单元高腔内层流和湍流自然对流换热的数值研究

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Laminar and turbulent natural convection flow in a two-dimensional tall rectangular cavity heated from the vertical side has been investigated numerically for aspect ratios of 20, 40 and 80. The finite volume method was used to solve the conservation equations of mass, momentum and energy for Rayleigh numbers from 10~2 to 10~8, the flow was considered either laminar or turbulent. For turbulent flow, four different turbulence models k—ε were compared along with their experimental results for a cavity with an aspect ratio of 30, it was found that the better approach was with the one reported by Ince and Launder turbulent model [N. Ince, B. Launder, On the computation of buoyancy-driven turbulent flows in rectangular enclosures, Int. J. Heat Fluid Flow 10 (1989) 110-117]. The average Nusselt numbers as a function of Rayleigh numbers for the aspect ratios range of 20-80 were calculated and compared with five convective Nusselt number correlations reported from the literature. Convective Nusselt number correlations for laminar flow in the range of 10~2 ≤ Ra ≤ 10~6 and for turbulent flow in the range of 10~4 ≤ Ra ≤ 10~8 were presented. This study will help to have more accurate heat transfer parameters for applications such as facade elements, insulating units, double-skin facades, etc.
机译：对垂直方向加热的二维高矩形矩形腔中的层流和湍流自然对流进行了数值研究，其纵横比为20、40和80。使用有限体积方法求解质量，动量和能量守恒方程对于从10〜2到10〜8的瑞利数，流动被认为是层流或湍流。对于湍流，比较了四种不同的湍流模型k-ε以及它们对长径比为30的腔的实验结果，发现用Ince和Launder湍流模型[N. Ince，B。Launder，关于矩形围场中由浮力驱动的湍流的计算，诠释。 J.热流体流动10（1989）110-117]。计算出纵横比在20-80范围内的平均Nusselt数作为瑞利数的函数，并将其与文献报道的五种对流Nusselt数相关性进行比较。给出了层流在10〜2≤Ra≤10〜6范围内和湍流在10〜4≤Ra≤10〜8范围内的对流Nusselt数相关性。这项研究将有助于为诸如立面元件，隔热单元，双层外立面等应用提供更准确的传热参数。

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