Model for calculating water bridge volume retained between vertical fins

doi:10.11949/j.issn.0438-1157.20160411

CIESC Journal ›› 2016, Vol. 67 ›› Issue (10): 4080-4085.DOI: 10.11949/j.issn.0438-1157.20160411

Previous Articles Next Articles

Model for calculating water bridge volume retained between vertical fins

ZHUANG Dawei, YANG Yifei, HU Haitao, DING Guoliang

Institute of Refrigeration & Cryogenics Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2016-04-01 Revised:2016-06-03 Online:2016-10-05 Published:2016-10-05
Supported by:
supported by the National Natural Science Foundation of China (51576122), the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (51521004) and the Program of Shanghai Academic Research Leader (16XD1401500).

竖直翅片间液桥体积计算模型

庄大伟, 杨艺菲, 胡海涛, 丁国良

上海交通大学制冷与低温工程研究所, 上海 200240

通讯作者: 丁国良
基金资助:
国家自然科学基金项目（51576122）；国家自然科学基金创新研究群体科学基金项目（51521004）；上海市优秀学术带头人计划项目（16XD1401500）。

Abstract

Abstract:

When a fin-and-tube heat exchanger worked as dehumidifier, lots of water bridges would form between vertical fins and the water volume of these bridges could affect discharge of water condensate. A model for the calculation of water bridge volume was established by integration of meniscus curve along triple contact line of the water bridge. An ellipse equation was used to simulate the triple contact line while a model of meniscus curve at the water-air interface was obtained from calculation results of the Young-Laplace equation. The model for calculating water bridge volume was validated by experimental study on triple contact lines and meniscus curves. The model predicted water volumes of these bridges 95% times aligned with the experimental data within the deviation limit of ±15%, which had a mean deviation of 7.12%.

Key words: water bridge volume, vertical fin, model, numerical analysis, experimental validation

摘要：

管翅式换热器在析湿工况下会在翅片间形成大量液桥，液桥体积会影响换热器中冷凝水的排出。提出一种将液面弯曲线沿液桥三相接触线积分的方法计算竖直翅片间液桥体积，其中液桥三相接触线采用椭圆方程描述，液面弯曲线模型基于Young-Laplace方程的计算结果拟合得到。通过液桥三相接触线与液面弯曲线观测实验对提出的液桥体积计算模型进行了验证，结果表明，95%的计算结果与实验的误差范围在±15%内，平均误差为7.12%。

关键词: 液桥体积, 竖直翅片, 模型, 数值分析, 实验验证

CLC Number:

TK124

ZHUANG Dawei, YANG Yifei, HU Haitao, DING Guoliang. Model for calculating water bridge volume retained between vertical fins[J]. CIESC Journal, 2016, 67(10): 4080-4085.

庄大伟, 杨艺菲, 胡海涛, 丁国良. 竖直翅片间液桥体积计算模型[J]. 化工学报, 2016, 67(10): 4080-4085.

References 20

[1]	MA X K, DING G L, ZHANG Y M, et al. Airside heat transfer and friction characteristics for enhanced fin-and-tube heat exchanger with hydrophilic coating under wet conditions[J]. International Journal of Refrigeration, 2007, 30(7):1153-1167.
[2]	WANG C C, LIN Y T, LEE C J. An airside correlation for plain fin-and-tube heat exchangers in wet conditions[J]. International Journal of Heat and Mass Transfer, 2000, 43(10):1869-1872.
[3]	马有福, 袁益超, 陈昱, 等. 翅片螺距对锯齿螺旋翅片换热管特性的影响[J]. 化工学报, 2011, 62(9):2484-2489. MA Y F, YUAN Y C, CHEN Y, et al. Effects of fin pitch on heat transfer and flow resistance of serrated spiral-finned-tube banks[J]. CIESC Journal, 2011, 62(9):2484-2489.
[4]	WANG Q, HAN X H, SOMMERS A, et al. A review on application of carbonaceous materials and carbon matrix composites for heat exchangers and heat sinks[J]. International Journal of Refrigeration, 2012, 35(1):7-26.
[5]	闵敬春, 彭晓峰, 王晓东. 竖壁上液滴的脱落直径[J]. 应用基础与工程科学学报, 2002, 10(1):57-62. MIN J C, PENG X F, WANG X D. Departure diameter of a drop on a vertical plate[J]. Journal of Basic Science and Engineering, 2002, 10(1):57-62.
[6]	杨艺菲, 庄大伟, 胡海涛, 等. 湿工况下平翅片平面凝水形成及运动过程的数值模拟与实验验证[J]. 化工学报, 2014, 65(S2):140-147. YANG Y F, ZHUANG D W, HU H T, et al. Numerical simulation and experimental validation of water condensing and moving on plain-fin surface under dehumidifying conditions[J]. CIESC Journal, 2014, 65(S2):140-147.
[7]	LIU Z L, HUANG L Y, GOU Y J, et al. Experimental investigations of frost release by hydrophilic surfaces[J]. Frontiers of Energy and Power Engineering in China, 2010, 4(4):475-487.
[8]	ZHUANG D W, HU H T, DING G L, et al. Numerical model for liquid droplet motion on vertical plain-fin surface[J]. HVAC and R Research, 2014, 20(3):332-343.
[9]	KORTE C, JACOBI A M. Condensate retention effects on the performance of plain-fin-and-tube heat exchangers:retention data and modeling[J]. Journal of Heat Transfer, 2001, 123(5):926-936.
[10]	WANG C C, LEE W S, SHEU W J, et al. Investigation of the airside performance of the slit fin-and-tube heat exchangers[J]. International Journal of Refrigeration, 1999, 22(8):595-603.
[11]	QI Z G. Water retention and drainage on air side of heat exchangers-a review[J]. Renewable and Sustainable Energy Reviews, 2013, 28:1-10.
[12]	YANG Y F, ZHUANG D W, HU H T, et al. Observation and description of the shape of water bridge retaining between vertical plane surfaces[J]. International Journal of Refrigeration, 2016, 64:20-31.
[13]	HARRIS, J W, STOCKER H. Handbook of Mathematics and Computational Science[M]. New York:Springer-Verlag, 1998.
[14]	CHEN Y C, ZHAO Y Z, GAO H L, et al. Liquid bridge force between two unequal-sized spheres or a sphere and a plane[J]. Particuology, 2011, 9(4):374-380.
[15]	AKBARI A, HILL R J, VAN DE VEN T G M. Liquid-bridge breakup in contact-drop dispensing:liquid-bridge stability with a free contact line[J]. Physical Review E-Statistical, Nonlinear, and Soft Matter Physics, 2015, 92(2):022404.
[16]	MESEGUER J, SLOBOZHANIN L A, PERALES J M. A review on the stability of liquid bridges[J]. Advances in Space Research, 1995, 16(7):5-14.
[17]	VOGEL T I. Stability of a liquid drop trapped between two parallel planesⅡ[J]. SIAM Journal on Applied Mathematics, 1989, 49:1009-1028.
[18]	PETKOV P V, RADOEV B P. Statics and dynamics of capillary bridges[J]. Colloid Surface A, 2014, 460:18-27.
[19]	CHEN H, TANG T, AMIRFAZLI A. Modeling liquid bridge between surfaces with contact angle hysteresis[J]. Langmuir, 2013, 29(10):3310-3319.
[20]	BATEMAN H. Partial Differential Equations of Mathematical Physics[M]. UK:Cambridge University Press, 1959:170.

Model for calculating water bridge volume retained between vertical fins

竖直翅片间液桥体积计算模型

PDF (PC)

Knowledge

Cited

Abstract

Cite this article

share this article

References 20

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Jiahao SONG, Wen WANG. Study on coupling operation characteristics of Stirling engine and high temperature heat pipe [J]. CIESC Journal, 2023, 74(S1): 287-294.
[2]	Mengya LIAN, Yingying TAN, Lin WANG, Feng CHEN, Yifei CAO. Heating performance of air preheated integrated ground water heat pump air-conditioning system [J]. CIESC Journal, 2023, 74(S1): 311-319.
[3]	Zhenghao JIN, Lijie FENG, Shuhong LI. Energy and exergy analysis of a solution cross-type absorption-resorption heat pump using NH₃/H₂O as working fluid [J]. CIESC Journal, 2023, 74(S1): 53-63.
[4]	Ke LI, Jian WEN, Biping XIN. Study on influence mechanism of vacuum multi-layer insulation coupled with vapor-cooled shield on self-pressurization process of liquid hydrogen storage tank [J]. CIESC Journal, 2023, 74(9): 3786-3796.
[5]	Hao WANG, Zhenlei WANG. Model simplification strategy of cracking furnace coking based on adaptive spectroscopy method [J]. CIESC Journal, 2023, 74(9): 3855-3864.
[6]	Xudong YU, Qi LI, Niancu CHEN, Li DU, Siying REN, Ying ZENG. Phase equilibria and calculation of aqueous ternary system KCl + CaCl₂ + H₂O at 298.2, 323.2, and 348.2 K [J]. CIESC Journal, 2023, 74(8): 3256-3265.
[7]	Chengying ZHU, Zhenlei WANG. Operation optimization of ethylene cracking furnace based on improved deep reinforcement learning algorithm [J]. CIESC Journal, 2023, 74(8): 3429-3437.
[8]	Linqi YAN, Zhenlei WANG. Multi-step predictive soft sensor modeling based on STA-BiLSTM-LightGBM combined model [J]. CIESC Journal, 2023, 74(8): 3407-3418.
[9]	Guoze CHEN, Dong WEI, Qian GUO, Zhiping XIANG. Optimal power point optimization method for aluminum-air batteries under load tracking condition [J]. CIESC Journal, 2023, 74(8): 3533-3542.
[10]	Jintong LI, Shun QIU, Wenshou SUN. Oxalic acid and UV enhanced arsenic leaching from coal in flue gas desulfurization by coal slurry [J]. CIESC Journal, 2023, 74(8): 3522-3532.
[11]	Chunyu LIU, Huanyu ZHOU, Yue MA, Changtao YUE. Drying characteristics and mathematical model of CaO-conditioned oil sludge [J]. CIESC Journal, 2023, 74(7): 3018-3027.
[12]	Yuying GUO, Jiaqiang JING, Wanni HUANG, Ping ZHANG, Jie SUN, Yu ZHU, Junxuan FENG, Hongjiang LU. Water-lubricated drag reduction and pressure drop model modification for heavy oil pipeline [J]. CIESC Journal, 2023, 74(7): 2898-2907.
[13]	Weiming SHAO, Wenxue HAN, Wei SONG, Yong YANG, Can CHEN, Dongya ZHAO. Dynamic soft sensor modeling method based on distributed Bayesian hidden Markov regression [J]. CIESC Journal, 2023, 74(6): 2495-2502.
[14]	Yanhui LI, Shaoming DING, Zhouyang BAI, Yinan ZHANG, Zhihong YU, Limei XING, Pengfei GAO, Yongzhen WANG. Corrosion micro-nano scale kinetics model development and application in non-conventional supercritical boilers [J]. CIESC Journal, 2023, 74(6): 2436-2446.
[15]	Qichao LIU, Yunlong ZHOU, Cong CHEN. Analysis and calculation of void fraction of gas-liquid two-phase flow in vertical riser under fluctuating vibration [J]. CIESC Journal, 2023, 74(6): 2391-2403.