能源樁三維螺旋線熱源的瞬態傳熱模型

李慶文; 鄭明陽; 喬蘭; 隋智力

doi:10.13374/j.issn2095-9389.2020.05.03.003

能源樁三維螺旋線熱源的瞬態傳熱模型

doi: 10.13374/j.issn2095-9389.2020.05.03.003

李慶文^{1, 2},
鄭明陽³,
喬蘭^{1, 2},
隋智力^4, ,

1.
北京科技大學土木與資源工程學院，北京 100083
2.
北京科技大學城市地下空間工程北京市重點實驗室，北京 100083
3.
中鐵第四勘察設計院集團有限公司，武漢 430061
4.
北京城市學院城市建設學部，北京 100083

基金項目: 北京市教育委員會科技計劃一般資助項目（KM202011418001）；中央高校基本科研業務費專項資金資助項目（FRF-BD-19-004A）

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E-mail: szl803@126.com

中圖分類號: TU470
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出版歷程
- 收稿日期: 2020-05-03
- 網絡出版日期: 2020-07-23
- 刊出日期: 2021-11-25

Transient heat transfer model of a three-dimensional spiral heat source in an energy pile

LI Qing-wen^{1, 2},
ZHENG Ming-yang³,
QIAO Lan^{1, 2},
SUI Zhi-li^{4
, ,}

1.
School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China
2.
Beijing Key Laboratory of Urban Underground Space Engineering, University of Science and Technology Beijing, Beijing 100083, China
3.
China Railway Siyuan Survey and Design Group Co., LTD., Wuhan 430061, China
4.
Urban Construction School, Beijing City University, Beijing 100083, China

More Information

Corresponding author: E-mail: szl803@126.com

摘要

摘要: 將螺旋埋管等效為三維螺旋線熱源，考慮螺旋埋管能源樁的傳熱過程，運用格林函數和第一型曲線進行積分，推導給出了考慮時間、空間位置、埋管參數和巖土體熱物理性質4參數的螺旋埋管能源樁的溫度場解析解，建立高精度三維螺旋埋管能源樁的傳熱模型。并通過在數值模擬軟件中建立螺旋埋管能源樁三維模型，依據邊界條件，求解得出三維螺旋埋管能源樁溫度場數值解。對比結果表明：所建立的能源樁三維螺旋線熱源模型具有很高的解析精度。最后，基于解析模型討論了螺旋埋管能源樁換熱溫度場的空間分布和時間效應。
- 能源樁 /
- 螺旋埋管 /
- 傳熱模型 /
- 溫度場 /
- 解析解
Abstract: An energy pile is a new type of ground source heat pump system. A heat exchanger is casted into the concrete pile foundation of a building structure for the purpose of heating or cooling the building through heat exchange between the pile foundation and surrounding soil. An energy pile can be developed rapidly because of its high heat transfer efficiency and stable structure and because it requires no additional drilling requirements. In the long-term operation, energy piles have to bear both the overlying and thermal loads caused by changes in the temperature field. Thus, accurately evaluating the temperature field of an energy pile and its surrounding soil is one of the key problems in the design and application of energy piles. To improve the heat transfer efficiency of energy piles, U-type, W-type, spiral type, and similar types of coils have been developed to be casted into the energy pile. Results of thermal efficiency analysis show that the spiral type coil has the best heating and cooling performance and was nearly 150% more thermally efficient than the double U-type coil. Thus, a spiral coil is selected as the main coils’ form in the current practical application. However, due to the complex heat exchange structure of the spiral pipe, the present analytical model had to be simplified to accurately characterize the temperature field characteristics of a spiral pipe casted in an energy pile. In this paper, the spiral pipe was regarded as a three-dimensional spiral heat source. Considering the existing heat transfer model, an analytical solution of the temperature field was obtained by integrating green’s function and the first curve function; then, the high-precision, three-dimensional (3-D) heat transfer model of the spiral pipe was established considering the time, space, buried pipe parameters, and thermal property of host soil. In addition, a 3-D model of a spiral pipe casted in an energy pile was created in the numerical simulation software COMSOL; after simulation, the numerical solution of the temperature field was obtained. The contrastive results showed that the built 3-D spiral heat source model has high analytical accuracy. Finally, based on the analytical model, the spatial distribution and time effect of a spiral pipe casted in an energy pile were discussed.
- energy pile /
- spiral pipe /
- heat transfer model /
- temperature field /
- analytical solution

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圖 1 計算的幾何模型示意圖

Figure 1. Schematic of a geometric used in calculation

下載: 全尺寸圖片幻燈片

圖 2 溫升隨時間變化曲線

Figure 2. Rise in temperature curves for different time periods

下載: 全尺寸圖片幻燈片

圖 3 能源樁樁體溫升曲線

Figure 3. Temperature rise curves of an energy pile

下載: 全尺寸圖片幻燈片

圖 4 巖土體溫升曲線

Figure 4. Temperature rise curves of a rock mass

下載: 全尺寸圖片幻燈片

圖 5 溫升隨半徑變化曲線

Figure 5. Temperature rise curves plotted against the radius

下載: 全尺寸圖片幻燈片

圖 6 能源樁溫度場

Figure 6. Temperature field of an energy pile

下載: 全尺寸圖片幻燈片

圖 7 數值解與解析解對比圖。（a）數值模擬結果；（a）解析解結果

Figure 7. Comparison between the numerical and analytical solutions: (a) numerical result; (b) analytical result

下載: 全尺寸圖片幻燈片

圖 8 溫度隨時間變化曲線

Figure 8. Temperature curves for different time periods

下載: 全尺寸圖片幻燈片

表 1 數值模型參數

Table 1. Parameters of numerical simulation

Description	Parameters	Values	Description	Parameters	Values
Heat conductivity	k_iso/(W·m^?1·K^?1)	1.3	Burial depth	H_spi/m	3
Thermal capacity	C_p/(J·kg^?1·K^?1)	840	Helical pitch	b_spi/dm	3
Soil density	rho/ (kg·m^?3)	1460	Helical diameter	r_spi/dm	1
Calculated length	L_iso/m	4	Initial temperature	T_comp1/K	288.15
Calculated depth	H_iso/m	4	Dirichlet temperature	T₀/ K	288.15
Calculated width	W_iso/m	4	Heat consumption	Q_l/ W	20
Neumann boundary	P₀/ W	5

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