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An adjustment to the standard temperature wall function for CFD modeling of indoor convective heat transfer

机译：调整室内对流换热CFD模型的标准温度墙功能

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摘要

Computational fluid dynamics (CFD) has become a popular tool for investigating indoor convective heat transfer. Two methods are used for dealing with the convective heat transfer of walls in CFD. One is to apply wall functions, and the other is to implement near-wall modeling by generating sufficiently fine mesh in the boundary layer. The former method is very simple; however, it may not be applicable to indoor environments. The latter method is generally more accurate but requires a significant number of grid mesh to capture the viscous boundary sublayer. This investigation proposes to tune the wall Prandtl number to modify the standard temperature wall function for applicability to indoor convective heat transfer modeling. The adjustment attempts to obtain convective heat transfer coefficients of walls that match those provided by the correlation formulas. Because the variation of the convective heat transfer coefficients with the wall Prandtl number is nonlinear, it is necessary to repeat the CFD simulations by following the developed procedure. The proposed method has been applied to model both heat transfer and flow motion in a mixing ventilation mode and an under-floor displacement ventilation mode, respectively. The results reveal that the adjusted temperature wall function is able to solve accurately indoor convective heat transfer with a moderate grid number. The standard temperature wall function with the default wall Prandtl number yields an unacceptable temperature distribution; hence, it is not appropriate for indoor convective heat transfer modeling.
机译：计算流体动力学（CFD）已成为研究室内对流换热的流行工具。 CFD中使用了两种方法来处理壁的对流传热。一种是应用墙函数，另一种是通过在边界层中生成足够精细的网格来实现近墙建模。前一种方法非常简单。但是，它可能不适用于室内环境。后一种方法通常更准确，但需要大量的网格才能捕获粘性边界子层。本研究建议调整墙壁的Prandtl数以修改标准温度墙壁功能，以适用于室内对流换热模型。该调整尝试获得与相关公式提供的壁匹配的壁的对流传热系数。由于对流传热系数随壁Prandtl数的变化是非线性的，因此有必要按照已开发的程序重复进行CFD模拟。所提出的方法已经被应用于分别模拟混合通风模式和地板下位移通风模式下的传热和流动运动。结果表明，调节温度墙功能能够以中等网格数准确解决室内对流换热问题。具有默认壁Prandtl数的标准温度壁函数会产生不可接受的温度分布；因此，它不适用于室内对流传热模型。

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