建筑室内热源逐时释放率的反向建模

室内热源逐时释放率的精准确定是营造舒适热环境的关键因素。应用响应因子方法,将热源的温度响应表示为逐时释放率与脉冲温度响应因子的卷积,基于计算流体力学,采用最小二乘优化与Tikhonov正则化相结合的策略,根据测点逐时温度建立反演室内热源逐时释放率的反问题数学模型。应用三维空腔实验台验证反演模型,结果表明,反演模型根据测点逐时温度可以准确有效地确定热源的逐时释放率。

An Inverse Method to Determine the Temporal Release Rate of a Heat Source in Indoor Environments

The rapid and precise determination of the temporal release rate of a heat source is crucial to the creation of a comfortable thermal environment. This paper presents an inverse modelling procedure that combines Tikhonov regularisation and least-squares optimisation using computational fluid dynamics to quantify the temporal release rate of a heat source based on information about temperature at a monitored point. The temperature response due to arbitrary release from a heat source can be expressed as the convolution integral of the temporal release and the thermal response factor for a unit impulse release. The proposed method is applied to determine the temporal release rates of a heat source in a three-dimensional cavity. The results show that the inverse method can accurately and efficiently determine the temporal release rates of a heat source in indoor environments by providing a temperature time-series at a monitored point.