Article(id=1309639744586351310, tenantId=1146029695717560320, journalId=1146119893612605453, issueId=1309639744087229134, articleNumber=null, orderNo=null, doi=null, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1725292800000, receivedDateStr=2024-09-03, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1790172047039, onlineDateStr=2026-09-23, pubDate=1768838400000, pubDateStr=2026-01-20, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1790172047039, onlineIssueDateStr=2026-09-23, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1790172047039, creator=13701087609, updateTime=1790172047039, updator=13701087609, issue=Issue{id=1309639744087229134, tenantId=1146029695717560320, journalId=1146119893612605453, year='2026', volume='44', issue='1', pageStart='1', pageEnd='142', issueExtLink='null', onlineDate='null', pubDate='1768838400000', pubDateStr='2026-01-20', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=1, specialIssue=null, createTime=1790172046920, creator='13701087609', updateTime=1790231697005, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1309889934790590725, tenantId=1146029695717560320, journalId=1146119893612605453, issueId=1309639744087229134, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1309889934790590726, tenantId=1146029695717560320, journalId=1146119893612605453, issueId=1309639744087229134, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=33, endPage=40, ext={EN=ArticleExt(id=1309639744766706383, articleId=1309639744586351310, tenantId=1146029695717560320, journalId=1146119893612605453, language=EN, title=Comparative study on heat transfer models of U-bend deep borehole heat exchanger based on different G functions, columnId=null, journalTitle=Renewable Energy Resources, columnName=null, runingTitle=null, highlight=null, articleAbstract=

The U-bend deep borehole heat exchanger (UDBHE) has a promising application potential. This paper is based on the G functions of infinite cylindrical source (ICS) and infinite line source (ILS) models, four heat transfer models of UDBHE are established, and they adopt the G function of ICS or ILS model, and consider or ignore the time-varying heat flow at the borehole wall, which are abbreviated as ICS-q, ILS-q, ICS-c and ILS-c models, respectively. The accuracy of the four models is studied by comparing with a more accurate two-dimensional numerical model and experimental data under two boundary conditions. The results show that the ILS-q model is the most accurate on the whole, and that the ICS-q model is the most accurate in analyzing the long-term performance of UDBHE. The four models have large errors in the early stage, but after enough long time, the errors of them are small except that the ILS-c and ICS-c models have large errors under the inlet temperature boundary condition. The errors mainly result from two aspects: the G functions of ICS and ILS models have some errors; ignoring the time-varying heat flow will cause some errors. The results can provide reference for the heat transfer model study of UDBHE.

, authors=Changlong Wang^{1, 2}, Wanyu Sun^{1, 2}, Yanchun Guo², Tianzhuo Jiang^{1, 2}, Yanhong Sun¹, authorsList=Changlong Wang, Wanyu Sun, Yanchun Guo, Tianzhuo Jiang, Yanhong Sun, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1309639745018364624, articleId=1309639744586351310, tenantId=1146029695717560320, journalId=1146119893612605453, language=CN, title=基于不同G函数的U型中深层地埋管传热模型对比研究, columnId=0, journalTitle=可再生能源, columnName=, runingTitle=null, highlight=null, articleAbstract=

U型中深层地埋管换热器（U-bend Deep Borehole Heat Exchanger, UDBHE）具有广阔的应用前景。文章基于无限柱热源（Infinite Cylindrical Source, ICS）和无限线热源（Infinite Line Source, ILS）模型的G函数，建立了4种UDBHE传热模型，采用ICS或ILS模型的G函数，考虑或忽略钻孔壁热流随时间变化，分别简称为ICS-q，ILS-q，ICS-c，ILS-c模型。通过与较为准确的二维数值模型及实验数据在2种边界条件下的对比，分析了这4种模型的准确性。结果表明：ILS-q模型在整体上最为准确，而ICS-q模型在分析UDBHE长期性能时最为准确；4种模型在前期均存在较大误差，但在足够长时间后，除了ILS-c和ICS-c模型在入口温度边界下仍有较大误差外，其他模型的误差均较小。研究结果可为UDBHE传热模型研究提供参考。

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^2.Key Laboratory of Shallow Geothermal Energy, Ministry of Natural Resources of the People's Republic of China, Beijing 100195, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1309639745488126684, tenantId=1146029695717560320, journalId=1146119893612605453, articleId=1309639744586351310, authorId=1309639745353908952, language=CN, stringName=王昌龙, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=^{1, 2}, address=^1．安徽工业大学 建筑工程学院，安徽 马鞍山　243002
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王昌龙（1990-），男，博士，讲师，研究方向为地源热泵、建筑节能。E-mail: clwang2017@163.com

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王昌龙（1990-），男，博士，讲师，研究方向为地源热泵、建筑节能。E-mail: clwang2017@163.com

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