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A simple method for estimating transient heat transfer in slab-on-ground floors

机译：估算地面楼板瞬态传热的简单方法

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The problem of calculating transient heat transfer in concrete floor slabs is complicated due to ground coupling, which can require the numerical solution of two or three-dimensional transient conduction equations. This paper presents a simplified method for calculating transient slab-on-ground heat transfer that can be incorporated within hourly simulation programs. The method assumes that there are two primary one-dimensional paths for heat transfer from a ground-coupled floor slab: (1) one-dimensional heat transfer from the perimeter of the slab to the ambient and (2) one-dimensional heat transfer between the slab interior surface and a portion of the soil beneath the slab. The perimeter heat transfer is assumed to occur at quasi-steady state and is characterized in terms of a perimeter heat loss factor (F_p). Transient heat transfer within the slab and ground are modeled using a simple thermal circuit employing three nodes with an adiabatic boundary condition at a specified depth within the soil underneath the slab. Although some simulation models consider this type of two-path model, there appears to be no validation of this approach and there is no guidance for specifying perimeter heat loss factors and underfloor soil depths and node locations for the thermal circuit. In the current paper, results from detailed two-dimensional finite-element models for typical floor constructions and soil properties were used to identify (1) locations for nodes within the slab and soil, (2) correlations for soil depth as a function of soil properties associated with the underfloor adiabatic boundary condition, and (3) correlations for perimeter heat loss factor as a function of soil properties and edge insulation levels for different constructions. Transient heat transfer results from the simple model compared well with results from the finite-element program for different floor constructions, edge insulation, soil properties, locations, and times of year.
机译：由于地面耦合，计算混凝土楼板瞬态传热的问题非常复杂，这可能需要二维或三维瞬态传导方程的数值解。本文提出了一种简化的方法，该方法可以计算每小时模拟程序中所包含的瞬态板对地面的传热。该方法假定从地面耦合楼板传热有两个主要的一维路径：（1）从楼板周边到周围环境的一维传热，以及（2）平板的内表面和平板下方的部分土壤。假定周界热传递在准稳态下发生，并且以周界热损失因子（F_p）为特征。使用简单的热回路对板和地面之间的瞬态热传递进行建模，该热回路采用三个节点，这些节点在板下方土壤中的指定深度处具有绝热边界条件。尽管某些仿真模型考虑了这种类型的两路径模型，但似乎没有对该方法进行验证，也没有为热循环指定周边热损失因子，地板下土壤深度和节点位置的指南。在当前的论文中，典型的地板结构和土壤特性的详细二维有限元模型的结果用于确定（1）板和土壤中节点的位置，（2）土壤深度与土壤的函数关系与地板绝热边界条件相关的特性，以及（3）周边热损失因子与土壤特性和不同构造的边缘保温水平之间的函数关系。简单模型的瞬态传热结果与有限元程序针对不同地板结构，边缘隔热，土壤特性，位置和年份的结果进行了比较。

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