Heat transfer characteristics of supercritical pressure CO2 in diverging/converging tube under cooling conditions

doi:10.11949/0438-1157.20221426

Abstract

Abstract:

Using the SST k-ω turbulence model, the heat transfer characteristics of supercritical carbon dioxide (SCO₂) in three kinds of horizontal tubes (uniform cross-section tube, diverging tube and converging tube) were numerically calculated under cooling conditions, and different operating parameters were studied (pressure, mass flow and heat flux) on heat transfer performance. The computational results demonstrate that the diverging tube effectively strengthen heat transfer compared with the uniform cross-section tube. A maximum improvement of 47.98% in overall heat transfer coefficient can be observed with the employment of diverging tubes. However, the converging tube weakens the heat transfer. According to the distribution of quasi-liquid film and turbulent kinetic energy, the physical mechanism of heat transfer enhancement is clarified by the dual-effect of quasi-liquid film and turbulent kinetic energy on this account. Our work provides a new idea and theoretical guidance for the optimal design of SCO₂ cooler.

Key words: supercritical carbon dioxide, diverging/converging tube, heat transfer enhancement, pseudo-condensation, turbulent flow

摘要：

采用SST k-ω湍流模型，数值计算了冷却条件下超临界压力二氧化碳(SCO₂)在三种水平管(等截面管、渐扩管和渐缩管)内的传热特性，研究了不同运行参数(压力、质量流量及热通量)对传热性能的影响。结果表明，与等截面管相比，渐扩管有效地强化了传热，采用渐扩管时，SCO₂的总传热系数最大提高了47.98%。然而，相比等截面管，渐缩管却削弱了传热。最后，从类冷凝和湍流场分布的角度阐明了传热强化的物理机理。为SCO₂冷却器的优化设计提供了新的思路和理论指导。

关键词: 超临界二氧化碳, 渐扩/渐缩管, 传热强化, 类冷凝, 湍流

CLC Number:

TQ 028.8

Bingguo ZHU, Jixiang HE, Jinliang XU, Bin PENG. Heat transfer characteristics of supercritical pressure CO₂ in diverging/converging tube under cooling conditions[J]. CIESC Journal, 2023, 74(3): 1062-1072.

朱兵国, 何吉祥, 徐进良, 彭斌. 冷却条件下渐扩/渐缩管内超临界压力二氧化碳的传热特性[J]. 化工学报, 2023, 74(3): 1062-1072.

Figures/Tables 14

Fig.1 Physical model

Fig.2 The grid division and mesh quality

Fig.3 Grid independence test

Fig.4 Validation of SST k-ω model against experimental data [23]

Fig.5 Effect of pressures on heat transfer performance of SCO2

Fig.6 Effect of mass flow rate on heat transfer performance of SCO2

Fig.7 Effect of heat flux on heat transfer performance of SCO2

Fig.8 The distribution curves of local heat transfer coefficient of SCO2 in three types of tubes along the flow direction

Fig.9 Temperature field distribution of SCO2 in three types of tubes at characteristic cross sections

Fig.10 The variation curves of field synergy angles θ of SCO2 in three types of tubes along the flow direction

Fig.11 P-T phase diagram of CO2

Fig.12 The radial distribution of turbulent kinetic energy of SCO2 in three types of tubes at different characteristic cross section

Fig.13 The variation of heat transfer coefficient of top busbar and bottom busbar of the diverging tube with bulk fluid temperature

Fig.14 Schematic diagram of PCHE core of circular variable cross-section channel

References 32

15	Wang J Y, Guan Z Q, Gurgencia H, et al. Numerical study on cooling heat transfer of turbulent supercritical CO₂ in large horizontal tubes[J]. International Journal of Heat and Mass Transfer, 2018, 126: 1002-1019.
16	Xiang M R, Guo J F, Huai X L, et al. Thermal analysis of supercritical pressure CO₂ in horizontal tubes under cooling condition[J]. The Journal of Supercritical Fluids, 2017, 130: 389-398.
17	刘新新, 叶建, 徐肖肖, 等. 超临界CO₂在水平螺旋管内的冷却换热特性[J]. 化工学报, 2016, 67(S2): 120-127.
	Liu X X, Ye J, Xu X X, et al. Heat transfer characteristics of supercritical CO₂ cooled in horizontal helically coiled tube[J]. CIESC Journal, 2016, 67(S2): 120-127.
18	Li C, Hao J H, Wang X C, et al. Dual-effect evaluation of heat transfer deterioration of supercritical carbon dioxide in variable cross-section horizontal tubes under heating conditions[J]. International Journal of Heat and Mass Transfer, 2022, 183: 122103.
19	Duryodhan V S, Singh A, Singh S G, et al. Convective heat transfer in diverging and converging microchannels[J]. International Journal of Heat and Mass Transfer, 2015, 80: 424-438.
20	Bai C, Qiu Y, Leng X L, et al. Diverging/converging small channel for condensation heat transfer enhancement under different gravity conditions[J]. International Communication in Heat and Mass Transfer, 2020, 116: 104714.
21	Kumar N, Basu D N. Role of buoyancy on the thermalhydraulic behavior of supercritical carbon dioxide flow through horizontal heated minichannel[J]. International Journal of Thermal Sciences, 2021, 168: 107051.
22	Wang H, Leungc L K H, Wang W, et al. A review on recent heat transfer studies to supercritical pressure water in channels[J]. Applied Thermal Engineering, 2018, 142: 573-596.
23	Dang C, Hihara E. In-tube cooling heat transfer of supercritical carbon dioxide (Part 1): Experimental measurement[J]. International Journal of Refrigeration, 2004, 27: 736-747.
24	Guo Z Y, Li D Y, Wang B X. A novel concept for convective heat transfer enhancement[J]. International Journal of Heat and Mass Transfer, 1998, 41: 2221-2225.
25	Guo Z Y, Tao W Q, Shah R K. The field synergy (coordination) principle and its applications in enhancing single phase convective heat transfer[J]. International Journal of Heat and Mass Transfer, 2005, 48: 1797-1807.
1	Goodarzi M, Gheibi A. Performance analysis of a modified trans-critical CO₂ refrigeration cycle[J]. Applied Thermal Engineering, 2015, 75: 1118-1125.
2	杨竞择, 杨震, 段远源. 不同装机容量下S-CO₂塔式太阳能热发电系统的热力及经济性能分析[J]. 太阳能学报, 2022, 43(9): 125-130.
	Yang J Z, Yang Z, Duan Y Y. Thermodynamic and economic analysis of solar power tower system based on S-CO₂ cycle with different installed capacity[J]. Acta Energiae Solaris Sinica, 2022, 43(9): 125-130.
3	Cabeza L F, Gracia A, InésFernándezc A, et al. Supercritical CO₂ as heat transfer fluid: a review[J]. Applied Thermal Engineering, 2017, 125: 799-810.
4	白万金, 徐肖肖, 吴杨杨. 低质量流速下超临界CO₂在管内冷却换热特性[J]. 化工学报, 2016, 67(4): 1244-1250.
	Bai W J, Xu X X, Wu Y Y. Heat transfer characteristics of supercritical CO₂ at low mass flux in tube[J]. CIESC Journal, 2016, 67(4): 1244-1250.
5	相梦如, 郭江峰, 淮秀兰, 等. 超临界压力CO₂水平管内冷却换热机理研究[J]. 工程热物理学报, 2017, 38(9): 1929-1934.
	Xiang M R, Guo J F, Huai X L, et al. A study on the cooling heat transfer mechanism for supercritical pressure CO₂ in horizontal tube[J]. Journal of Engineering Thermophysics, 2017, 38(9): 1929-1934.
6	Liu Z B, He Y L, Yang Y F, et al. Experimental study on heat transfer and pressure drop of supercritical CO₂ cooled in a large tube[J]. Applied Thermal Engineering, 2014, 70: 307-315.
7	Liao S M, Zhao T S. An experimental investigation of convection heat transfer to supercritical carbon dioxide in miniature tubes[J]. International Journal of Heat and Mass Transfer, 2002, 45: 5025-5034.
8	Liao S M, Zhao T S. Measurements of heat transfer coefficients from supercritical carbon dioxide flowing in horizontal mini/micro channels[J]. Journal of Heat Transfer, 2002, 124: 413-420.
9	Huai X L, Koyama S, Zhao T S. An experimental study of flow and heat transfer of supercritical carbon dioxide in multi-port mini channels under cooling conditions[J]. Chemical Engineering Science, 2005, 60(12): 3337-3345.
10	Oh H, Son C. New correlation to predict the heat transfer coefficient in-tube cooling of supercritical CO₂ in horizontal macro-tubes[J]. Experimental Thermal and Fluid Science, 2010, 34: 1230-1241.
11	Du Z X, Lin W S, Gu A Z. Numerical investigation of cooling heat transfer to supercritical CO₂ in a horizontal circular tube[J]. Journal of Super-critical Fluids, 2010, 55: 116-121.
12	Wang J Y, Guan Z Q, Gurgencia H, et al. A computationally derived heat transfer correlation for in-tube cooling turbulent supercritical CO₂ [J]. International Journal of Thermal Sciences, 2019, 138: 190-205.
13	Wang J Y, Guan Z Q, Gurgencia H, et al. Computational investigations of heat transfer to supercritical CO₂ in a large horizontal tube[J]. Energy Conversion and Management, 2018, 157: 536-548.
14	Wang J Y, Li J S, Gurgencia H, et al. Computational investigations on convective flow and heat transfer of turbulent supercritical CO₂ cooled in large inclined tubes[J]. Applied Thermal Engineering, 2019, 159: 113922.
26	Simeoni G G, Bryk T, Gorelli F A, et al. The Widom line as the cross-over between liquid-like and gas-like behavior in supercritical fluids[J]. Nature Physics, 2010, 6: 503-507.
27	Gallo P, Corradini D, Rovere M. Widom line and dynamical crossovers as routes to understand supercritical water[J]. Nature Communications, 2014, 5(1): 1-6.
28	Ma X J, Xu J L, Xie J. In-situ phase separation to improve phase change heat transfer performance[J]. Energy, 2021, 230: 120845.
29	Kadi K, Alnaimat F, Sherif S A. Recent advances in condensation heat transfer in mini and micro channels: a comprehensive review[J]. Applied Thermal Engineering, 2021, 197: 117412.
30	何吉祥, 朱兵国, 彭斌, 等. 太阳能热发电中超临界压力CO₂在渐扩变截面圆管内冷却传热强化机理[J]. 太阳能学报, 2023, DOI:10.19912/j.0254-0096.tynxb.2022-0672 .
	He J X, Zhu B G, Peng B, et al. Cooling heat transfer enhancement mechanism of supercritical pressure CO₂ in diverging variable cross-section circular tube in solar thermal power generation[J]. Acta Energiae Solaris Sinica, 2023, DOI:10.19912/j.0254-0096.tynxb.2022-0672 .
31	Liu G X, Huang Y P, Wang J F, et al. A review on the thermal-hydraulic performance and optimization of printed circuit heat exchangers for supercritical CO₂ in advanced nuclear power systems[J]. Renewable and Sustainable Energy Reviews, 2020, 133: 110290.
32	Lv Y G, Wen Z X, Li Q, et al. Numerical investigation on thermal hydraulic performance of hybrid wavy channels in a supercritical CO₂ precooler[J]. International Journal of Heat and Mass Transfer, 2021, 181: 121891.

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Heat transfer characteristics of supercritical pressure CO₂ in diverging/converging tube under cooling conditions

冷却条件下渐扩/渐缩管内超临界压力二氧化碳的传热特性

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References 32

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