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Semi-analytical model for thermal response of anhydrite radiant slab

机译：硬石膏辐射板热响应的半解析模型

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摘要

The choice of heating systems in buildings is primarily guided by the desired comfort level and energy saving concerns. Radiant floor heating systems are suitable for satisfying these requirements by considering the trade-off between minimizing the thermal inertia of the radiant slab and maintaining the surface temperature below a certain value. In this study, a new simplified model based on an analytical correlation is proposed to evaluate the heating radiant slab surface temperature and examine its thermal behavior under dynamic conditions. A full-scale test cell, monitored by a set of sensors, was used to obtain measurements under transient conditions. In addition, numerical models based on the finite difference method and the finite volume method were developed and validated under transient conditions. The design of experiments method is used to derive meta-models for the time constant and the delay time in order to compute the surface temperature. The sensitivity analysis indicated that the specific heat capacity of the slab material and the heating water flowrate significantly affect the time constant as opposed to the insignificant effect of the thermal conductivity and the heating water pipe inner diameter. In addition, it was found that all of these parameters, except for the heating water flowrate, have a significant impact on the delay time. Compared to the experimental results, the maximum relative deviations on the computed surface temperature were within 2% for the numerical model and 4% for the semi-analytical model.
机译：建筑物中供暖系统的选择主要取决于所需的舒适度和节能问题。通过考虑在最小化辐射板的热惯性和将表面温度保持在一定值以下之间的权衡，辐射地板采暖系统适合满足这些要求。在这项研究中，提出了一种基于分析相关性的简化模型，用于评估热辐射板的表面温度并检查其在动态条件下的热行为。由一组传感器监控的满量程测试单元用于在瞬态条件下获得测量值。另外，在瞬态条件下建立并验证了基于有限差分法和有限体积法的数值模型。实验方法的设计被用来导出时间常数和延迟时间的元模型，以计算表面温度。敏感性分析表明，板坯材料的比热容和热水流量显着影响时间常数，而导热系数和热水管内径的影响并不明显。另外，发现除了加热水流量之外，所有这些参数对延迟时间都有显着影响。与实验结果相比，数值模型的表面温度最大相对偏差在2％以内，半分析模型的最大相对偏差在4％以内。

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