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浙江大学学报(工学版)
J4  2014, Vol. 48 Issue (3): 471-477    DOI: 10.3785/j.issn.1008-973X.2014.03.014
土木、水利工程     
直角绝热边界附近少量冻结管稳态温度场解析解
胡向东,郭旺,张洛瑜
同济大学 地下建筑与工程系,岩土及地下工程教育部重点实验室,上海 200092
Analytical solution of steady state temperature field of a few freezing pipes arranged near a right angle adiabatic boundary
HU Xiang-dong,GUO Wang,ZHANG Luo-yu
Department of Geotechnical Engineering, Key Laboratory of Geotechnical and Underground
Engineering of Ministry of Education, Tongji University, Shanghai 200092, China
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摘要：

针对地层在进行人工冻结时,由于冻土帷幕受到既有地下构筑物的限制而无法自由发展的实际情况,研究直角构筑物附近少量冻结管温度场这一工程问题.将该工程问题抽象成1/4平面内直角绝热边界附近布置少量点冷源稳态温度场问题,提出势函数叠加法结合镜像法的求解方法.采用镜像法将1/4平面问题映射成无限区域问题,应用势函数叠加法进行求解.通过理论推导,求得了直角绝热边界附近单管和双管冻结的稳态温度场解析解.采用热学数值模拟方法对冻结管布置不同时的解析解分别进行验证,结果表明,解析解计算温度场与数值模拟结果吻合.
Abstract:

Aiming at the actual situation that the development of frozen soil often subjects to existing underground structures in artificial ground freezing projects, the engineering problem of the temperature field of a few freezing pipes arranged near right angle structures was studied. The study subjects were abstracted into quarter-plane problems of a few point cold sources arranged near a right-angle adiabatic boundary. A solution method combining the potential superposition method with the mirror image method was proposed. With the quarter-plane problems mapped into infinite region problems by the mirror image method, the potential superposition method was then employed for the solution. After theoretical derivations, the steady-state temperature fields of single-piped and double-piped freezing near a right-angle adiabatic boundary were obtained analytically. All the analytical formulas for different arrangements of freezing pipes were verified by thermal numerical simulation, and the results showed that the temperature fields calculated by the analytical formulas were well consistent with those by thermal numerical simulation for the same conditions.
出版日期: 2018-06-10
:     
基金资助:

国家自然科学基金资助项目(51178336); 浙江省自然科学基金资助项目(LZ13E080002).
作者简介: 胡向东(1961-), 男, 副教授, 博导, 主要从事隧道与地下工程方面的教学与研究工作. E-mail: anton.geotech@tongji.edu.cn
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引用本文:

胡向东,郭旺,张洛瑜. 直角绝热边界附近少量冻结管稳态温度场解析解[J]. J4, 2014, 48(3): 471-477.

HU Xiang-dong,GUO Wang,ZHANG Luo-yu. Analytical solution of steady state temperature field of a few freezing pipes arranged near a right angle adiabatic boundary. J4, 2014, 48(3): 471-477.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2014.03.014    或    http://www.zjujournals.com/eng/CN/Y2014/V48/I3/471

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