考虑界面热阻效应的地埋管分层传热解析模型及解答

周祥运; 胡世翔; 张夏阳; 高游; 孙德安

doi:10.19912/j.0254-0096.tynxb.2024-0310

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太阳能学报 ›› 2025, Vol. 46 ›› Issue (6) : 712-720. DOI: 10.19912/j.0254-0096.tynxb.2024-0310

考虑界面热阻效应的地埋管分层传热解析模型及解答

周祥运¹, 胡世翔¹, 张夏阳^2,3, 高游^2,3, 孙德安⁴

作者信息 +

ANALYTICAL MODEL AND SOLUTION OF LAYERED HEAT TRANSFER OF GROUND HEAT EXCHANGER CONSIDERING INTERFACIAL THERMAL RESISTANCE EFFECT

Zhou Xiangyun¹, Hu Shixiang¹, Zhang Xiayang^2,3, Gao You^2,3, Sun De'an⁴

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文章历史 +

摘要

把地埋管换热器简化为有限实心圆柱面热源,建立考虑界面热阻效应的分层岩土传热解析模型。对传热控制方程进行有限汉克尔和拉普拉斯变换,求解得到各分层岩土温度的拉普拉斯域解;通过与数值解和现有解析解的对比,验证该文模型解的正确性;重点评估界面热阻对地埋管近场分层岩土温度分布的影响。结果表明：①由于界面接触热阻的存在,土层上界面温度因热量积聚而上升,土层下界面温度因热量减少而下降,土层界面处温度分布呈跳跃现象;②界面接触热阻对温度响应的影响随传热时间的延长而增大,随径向距离的增加而减弱;③相邻土层导热系数的差值越大,界面接触热阻对分层岩土温度分布的影响越大。

Abstract

The ground heat exchanger was simplified as a finite solid cylindrical heat source, and an analytical model of layered soil heat transfer considering the interfacial thermal resistance effect was established. The finite Hankel and Laplace transforms were used to obtain the Laplace domain solutions to the temperature of each soil layer. The correctness of the proposed model was verified by comparing with the numerical solution and existing analytical solution. The influence of interfacial thermal resistance on the temperature distribution of near-field layered soil was evaluated. The results show that the interface temperature above the soil layer increases due to heat accumulation, and the interface temperature below the soil layer decreases due to heat flow because of the existence of thermal resistance effect. The temperature distribution at the interface of soil layer shows a hopping phenomenon. The influence of thermal contact resistance on temperature response increases with increasing the heat transfer time, but decreases with increasing the radial distance. The greater the difference of the thermal conductivity between adjacent soil layers, the greater the influence of thermal contact resistance on the temperature distribution.

导出引用

周祥运, 胡世翔, 张夏阳, 高游, 孙德安. 考虑界面热阻效应的地埋管分层传热解析模型及解答[J]. 太阳能学报. 2025, 46(6): 712-720 https://doi.org/10.19912/j.0254-0096.tynxb.2024-0310

Zhou Xiangyun, Hu Shixiang, Zhang Xiayang, Gao You, Sun De'an. ANALYTICAL MODEL AND SOLUTION OF LAYERED HEAT TRANSFER OF GROUND HEAT EXCHANGER CONSIDERING INTERFACIAL THERMAL RESISTANCE EFFECT[J]. Acta Energiae Solaris Sinica. 2025, 46(6): 712-720 https://doi.org/10.19912/j.0254-0096.tynxb.2024-0310

中图分类号： TK521

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