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首页> 外文期刊>International Journal for Numerical Methods in Fluids >Numerical heat transfer in a cavity with a solar control coating deposited to a vertical semitransparent wall
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Numerical heat transfer in a cavity with a solar control coating deposited to a vertical semitransparent wall

机译：腔中的数值传热，其中阳光控制涂层沉积在垂直的半透明壁上

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摘要

A transient two-dimensional computational model of combined natural convection, conduction, and radiation in a cavity with an aspect ratio of one, containing air as a laminar and non-participating fluid, is presented. The cavity has two opaque adiabatic horizontal walls, one opaque isothermal vertical wall, and an opposite semitransparent wall, which consists of a 6-mm glass sheet with a solar control coating of SnS-Cu{sub}xS facing the cavity. The semitransparent wall also exchanges heat by convection and radiation from its external surface to the surroundings and allows solar radiation pass through into the interior of the cavity. The momentum and energy equations in the transient state were solved by finite differences using the alternating direction implicit (ADI) technique. The transient conduction equation and the radiative energy flux boundary conditions are coupled to these equations. The results in this paper are limited to the following conditions: 10{sup}4≤ Gr ≤ 10{sup}6, an isothermal vertical cold wall of 21℃, outside air temperatures in the range 30℃ ≤ T{sub}0 ≤ 40℃ and incident solar radiation of AM2 (750 W m{sup}(-2)) normal to the semitransparent wall. The model allows calculation of the redistribution of the absorbed component of solar radiation to the inside and outside of the cavity. The influences of the time step and mesh size were considered. Using arguments of energy balance in the cavity, it was found that the percentage difference was less than 4 per cent, showing a possible total numerical error less than this number. For Gr=10{sup}6 a wave appeared in the upper side of the cavity, suggesting the influence of the boundary walls over the air flow inside the cavity. A Nusselt number correlation as a function of the Rayleigh number is presented.
机译：提出了一个将自然对流，传导和辐射结合在一个长宽比为1的腔体中的暂态二维计算模型，该腔体包含空气作为层流和非参与流体。该腔具有两个不透明的绝热水平壁，一个不透明的等温垂直壁和相对的半透明壁，该半透明壁由6毫米玻璃板组成，该玻璃板具有面向腔的SnS-Cu {sub} xS日光控制涂层。半透明壁还通过对流和辐射从其外表面到周围环境进行热交换，并允许太阳辐射穿过而进入空腔的内部。使用交变方向隐式（ADI）技术通过有限差分求解瞬态的动量和能量方程。瞬态传导方程和辐射能通量边界条件与这些方程耦合。本文的结果限于以下条件：10 {sup}4≤Gr≤10 {sup} 6，等温垂直冷壁为21℃，外部空气温度在30℃≤T {sub} 0≤范围内垂直于半透明壁的AM2（750 W m {sup}（-2））的40℃入射太阳辐射。该模型允许计算太阳辐射吸收分量到腔体内部和外部的重新分布。考虑了时间步长和网格大小的影响。使用型腔中能量平衡的参数，发现百分比差异小于4％，表明可能的总数值误差小于该数值。对于Gr ＝ 10 {sup} 6，在空腔的上侧出现波，表明边界壁对空腔内部的空气流的影响。提出了作为瑞利数函数的努塞尔数相关性。

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