Please wait a minute...
浙江大学学报(工学版)
J4  2011, Vol. 45 Issue (6): 1104-1107    DOI: 10.3785/j.issn.1008-973X.2011.06.024
    
Finite long cylindrical surface and cylinder source model
of ground source heat pump
ZHAN Guo-hui, YU Ya-nan
Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China
Download:   PDF(0KB) HTML
Export: BibTeX | EndNote (RIS)      

Abstract  

Analytical models of the unsteady thermal field outside the hole wall of ground source heat pump were studied in order to further improve the accuracy. Finite long cylindrical surface and cylinder source model were put forward considering the boundary conditions of ground surface, the depth of bore and the distribution of heat flow in radical direction. A virtual heat sink was assumed above the surface, and the temperature rise was regarded as superposition of responses of transient point heat source which was continuous both in time and space, that was the method of Green’s function, then analytical solutions of the two models were derived. The two models were demonstrated more precise by comparing with the experimental results. The results of the cylindrical surface source model are close to those of the cylinder source model but the calculation amounts are smaller, so the cylindrical surface source model is recommended in practical application.

Published: 14 July 2011
CLC:  TU 111  
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
Cite this article:

ZHAN Guo-hui, YU Ya-nan. Finite long cylindrical surface and cylinder source model
of ground source heat pump. J4, 2011, 45(6): 1104-1107.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2011.06.024     OR     https://www.zjujournals.com/eng/Y2011/V45/I6/1104


地源热泵有限长圆柱面和圆柱体热源模型

为进一步提高地源热泵解析模型的精度,对地源热泵钻孔外非稳态温度场模型进行了研究.考虑地面边界条件、钻孔的有限深度及热流在钻孔径向的分布,提出有限长圆柱面和圆柱体热源模型.在地面以上设虚拟热汇,把温升看成时间、空间上连续的瞬时点热源温度响应的叠加,即采用格林函数法,得到这2种模型的温升解析解.与实验数据对比表明：2种模型可以更精确地计算钻孔外非稳态温度场.计算结果也表明：圆柱面模型和圆柱体模型计算得到的结果差异不大,在计算量上圆柱面模型要小些,因此,在实际应用中推荐采用圆柱面模型.

［1］ INGERSOLL L R, PLASS H J. Theory of the ground pipe heat source for the heat pump［J］. Heating Piping and Air Conditioning, 1948,20(7)： 119-122.
［2］ JAEGER J C. Radial heat flow in circular cylinders with a general boundary condition［J］. Journal of the Royal Society of New South Wales,1940(74)： 342-353.
［3］ DEERMAN J D, KAVANAUGH S.P. Simulation of vertical utube groundcoupled heat pump systems using the cylindrical heat source solution［J］. ASHRAE Transactions,1991, 97(1)： 287-295.
［4］ 刁乃仁,方肇洪.地埋管地源热泵技术［M］.北京：高等教育出版社,2006: 48-52.
［5］ ZENG Heyi, DIAO Nairen,FANG Zhaohong, A finite linesource model for boreholes in geothermal heat exchanges［J］. Heat Transfer Asian Research,2002, 31(7)： 558-567.
［6］ 方肇洪,刁乃仁.地热换热器的传热分析［J］.建筑热能通风空调,2008, 23(1)： 11-20.
FANG Zhaohong, DIAO Nairen. Heat transfer analysis of ground heat exchangers［J］. Building Energy & Environment, 2008, 23(1): 11-20.
［7］ 柳晓雷,王德林,方肇洪.垂直埋管地源热泵的圆柱面传热模型及简化计算［J］. 山东建筑工程学院学报,2001,16(1): 47-51.
LIU Xiaolei, WANG Delin,FANG Zhaohong. Modeling of heat transfer of a vertical bore in groundsource heat pumps［J］. Journal of Shandong Institute of Architecture and Engineering, 2001,16(1): 47-51.
[1] WANG Zi-yang, SHAO Wei-yun, ZHANG Yi-ping. Cylindrical surface model of ground source heat pump considering soil stratification[J]. J4, 2013, 47(8): 1338-1345.
[2] WANG Zi-yang, ZHANG Yi-ping, ZHAN Guo-hui, YU Ya-nan. Study on heat transfer model of underground heat exchangers
with groundwater advection[J]. J4, 2012, 46(8): 1450-1456.
[3] ZHAN Guo-hui, ZHANG Yi-ping, XU Jian, YU Ya-nan. Finite long body source model of tube group after long-time
heat exchange in ground source heat pump[J]. J4, 2011, 45(8): 1411-1415.
[4] SHU E-Na, XU Jian, FENG Jian-Jiang. Laboratory experimenton thermal conductivity of silty clay[J]. J4, 2010, 44(1): 180-183.