提出一种描述有限长空心圆柱面源（FHCS）的新模型,利用格林函数方法进行求解,得出该模型的解析解。将该模型与已有的有限线源模型（FLS）和有限柱面源模型（FCS）进行对比分析,结果表明：在深度方向上,3个模型的变化趋势一致,差异性较小。当开始运行时间较短时,FHCS的温升大于FCS,FLS的温升极小;当运行时间较长时,3个模型的温差减小。在此模型基础上研究钻孔和周围土壤的传热特性,深入分析不同时间、径向距离、钻孔半径和轴向方向上的温度分布。研究表明,有限长空心圆柱面热源模型能揭示竖直钻孔地埋管换热器钻孔的传热特性。
Abstract
A novel model is introduced to describe the finite length hollow cylindrical surface source（FHCS）, and an analytical solution for this innovative model is obtained using Green’s function method. A comparative analysis was conducted between the proposed model, finite line source model（FLS）, and finite cylindrical surface source model（FCS）. The research results show that in the vertical direction, the three models exhibit consistent variation trends with relatively small differences. When the operating time is short, the temperature rise of FHCS is greater than that of FCS, while FLS experiences minimal temperature rise. However, as the operating time increases, the temperature differences among the three models decrease. Based on this model, the temperature distributions in the borehole and surrounding soil were examined, followed by a thorough comparative analysis across different times, radial distances, borehole radius and axial orientations. The study demonstrates that the finite hollow cylindrical surface source model can reveal the heat transfer characteristics of boreholes.
关键词
地热能 /
地源热泵 /
换热器 /
温度分布 /
解析模型 /
格林函数
Key words
geothermal energy /
ground source heat pumps /
heat exchangers /
temperature distribution /
analytical models /
Green's function
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基金
德阳市揭榜挂帅重大攻关项目（2022JBZG002）; 国家自然科学基金（52078257）; 青岛市科技计划项目基金（21-1-4-sf-13-nsh）
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