A new 1D analytical model for computing the thermal field of concrete dams due to the environmental actions
A new 1D analytical model for computing the thermal field of concrete dams due to the environmental actions
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DOI：
10.1016/j.applthermaleng.2015.04.023
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发表时间：
2015-06
影响因子：
6.4
通讯作者：
D. Santillán;E. Salete;M. Toledo
中科院分区：
文献类型：
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作者：
D. Santillán;E. Salete;M. Toledo
提出了特定边界条件下热扩散方程的一种新的解析解。所解决的问题是一维（1D）固体中的热流，其末端处于规定温度下的介质中，该介质遵循正弦定律。热通过对流在畴的两端和介质之间传递。通过离散傅里叶变换，将解推广到其他温度介质。此外，通过计算介质的等效温度来解释几种传热机制。通过对某拱坝实测温度的计算，对该模型的性能进行了评价。温度计算采用：(a)新的一维解析模型，(b) Stucky和Derron提出的一维解析解的改进版本，以及(c)三维有限元模型。模型(a)计算温度的均方根误差为1.23 K, (b)计算温度的均方根误差为3.92 K, (c)计算温度的均方根误差为0.83 K。新模型的性能比(b)好得多，与(c)相似，但比(c)差。
A new analytical solution of the heat diffusion equation under specific boundary conditions is proposed. The solved problem is the flow of heat in a one-dimensional (1D) solid whose ends are in mediums at prescribed temperatures which follow a sinusoidal law in-phase. Heat is transferred by convection between the ends of the domain and the mediums. The solution is extended to other temperatures of the mediums through the discrete Fourier transformation. Moreover, several heat transfer mechanisms were accounted for by computing an equivalent temperature of the mediums.The performance of the new model was assessed by computing the recorded temperatures at an arch dam case study. Temperatures were computed by: (a) the new 1D analytical model, (b) an improved version of the 1D analytical solution proposed by Stucky and Derron, and (c) a three-dimensional finite element model. The root mean squared error of computed temperatures was 1.23 K for model (a), 3.92 K for (b), and 0.83 K for (c). The new model provided a much better performance than (b) and similar but poorer than (c).