Development of correlation for mass flow rate through varying diameter capillary tube

doi:10.11949/j.issn.0438-1157.20161272

CIESC Journal ›› 2017, Vol. 68 ›› Issue (1): 57-62.DOI: 10.11949/j.issn.0438-1157.20161272

Previous Articles Next Articles

Development of correlation for mass flow rate through varying diameter capillary tube

ZHAO Dan¹, DING Guoliang¹, XU Yansheng²

1 School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
2 Shunde Polytechnic, Shunde 528333, Guangdong, China

Received:2016-09-09 Revised:2016-10-20 Online:2017-01-05 Published:2017-01-05
Contact: 10.11949/j.issn.0438-1157.20161272
Supported by:
supported by the National Natural Science Foundation of China (51506117) and the China Postdoctoral Science Foundation (15M581610).

变径毛细管流量关联式开发

赵丹¹, 丁国良¹, 徐言生²

1 上海交通大学机械与动力工程学院, 上海 200240;
2 顺德职业技术学院, 广东顺德 528333

通讯作者: 赵丹
基金资助:
国家自然科学基金项目（51506117）；中国博士后基金项目（2015M581610）。

Abstract

Abstract:

A varying diameter capillary tube is a low cost throttling device for residential heat pump systems.The asymmetry structure of the varying diameter capillary tube results that forward flow resistance differs from backward one, and then the specific flow rates for cooling and heating mode can be achieved simultaneously.In order to size the capillary tube practically, a dimensionless correlation for predicting mass flow rate through varying diameter capillary tubes is proposed.The formula of equivalent tube diameter and tube length is constructed, and is introduced into an existing correlation for predicting mass flow rate through smooth capillary tube;a numerical model was developed based on the physical equations, and it is used to generate data source for curve fitting the coefficients in the proposed correlation.The proposed correlation can predict the measured mass flow rate through varying diameter capillary tube under various conditions, and it predicted approximately 93% of the measured mass flow rates within a deviation of ±10%.

Key words: model, gas-liquid flow, correlation, capillary tube, flow

摘要：

变径毛细管是一种用于家用热泵的低成本节流装置，其非对称结构可以实现正反两个流向的流量不同，从而可以满足热泵系统制冷和制热所需的流量。为了实现变径毛细管工程设计，开发了变径毛细管流量的关联式。通过构建变径毛细管等效管径和等效管长计算公式并代入等径毛细管关联式，得到了变径毛细管流量的关联式的公式形式；通过数值计算模型产生用于拟合关联式系数的数据源。开发的变径毛细管流量关联式可计算变径毛细管正向和反向的制冷剂流量以及传统的等径毛细管的流量。开发关联式能很好地预测变径毛细管在不同工况下制冷剂流量的变化趋势，预测93%实验数据点的精度在10%以内。

关键词: 模型, 气液两相流, 关联式, 毛细管, 流动

CLC Number:

TK05

ZHAO Dan, DING Guoliang, XU Yansheng. Development of correlation for mass flow rate through varying diameter capillary tube[J]. CIESC Journal, 2017, 68(1): 57-62.

赵丹, 丁国良, 徐言生. 变径毛细管流量关联式开发[J]. 化工学报, 2017, 68(1): 57-62.

References 21

[1]	ZHAO D, DING G L, XU Y S, et.al. Development of a stepped capillary tube as a low cost throttling device for a residential heat pump system[J]. Int. J. Refrigeration, 2014, 31:930-942.
[2]	VALERIO. ASHRAE Handbook:HVAC Systems and Equipment[M]. Atlanta, GA, 2000:371.
[3]	BILL W, BILL J, JOHN T, et al. Refrigeration and Air Conditioning Technology[M]. 6th ed. Delmar:Cengage Learning, 2009:241.
[4]	LANGLEY B C. Heat Pump Technology[M]. 3rd ed. London:Prentice Hall, 2002:124.
[5]	BANSAL P K, RUPASINGHE A S. An empirical model for sizing capillary tubes[J]. Int. J. Refrigeration, 1996, 19(8):497-505.
[6]	BITTLE R R, PATE M B. A theoretical model for predicting adiabatic capillary tube performance with alternative refrigerants[J]. ASHRAE Trans., 1996,102(2):52-64.
[7]	CHOI J, KIM Y, KIM H Y. A generalized correlation for refrigerant mass flow rate through adiabatic capillary tubes[J]. Int. J. Refrigeration, 2003, 26(8):881-888.
[8]	KHAN M K, KUMAR R, SAHOO P K. Flow characteristics of refrigerants flowing through capillary tubes-a review[J]. Appl. Thermal Eng., 2009, 29:1426-1439.
[9]	KIM S G, KIM M S, RO S T. Experimental investigation of the performance of R22, R407C and R410A in several capillary tubes for air-conditioners[J]. Int. J. Refrigeration, 2002, 25(5):521-531.
[10]	MELO C, FERREIRA R T S, BOABAID N C, et al. An experimental analysis of adiabatic capillary tubes[J]. Appl. Thermal Eng., 1999, 19:669-684.
[11]	PARK C, LEE S, KANG H, KIM Y. Experimentation and modeling of refrigerant flow through coiled capillary tubes[J]. Int. J. Refrigeration, 2007, 30(7):1168-1175.
[12]	YANG L, WANG W. A generalized correlation for the characteristics of adiabatic capillary tubes[J]. Int. J. Refrigeration, 2008, 31(2):197-203.
[13]	BITTLE R R, ROBERT R, WOLF D A, et.al. A generalized performance predicting method for adiabatic capillary tubes[J]. Appl. Therm. Eng., 1998, 18(34):207-219.
[14]	BITTLE R R, WOLF D A, PATE M B. A generalized performance prediction method for adiabatic capillary tubes[J]. HVAC&R Research, 1998, 4(1):27-44.
[15]	PAYNE V, O NEAL D L. A mass flow rate correlation for refrigerants and refrigerant mixtures flowing through short tubes[J]. HVAC&R Research, 2004,10(1):73-87.
[16]	JABARAJ D, VETTRIKATHIRVEL A, MOHANLAL D. Flow characteristics of HFC407C/HC600a/HC290 refrigerant mixture in adiabatic capillary tubes[J]. Appl. Therm. Eng., 2006, 26(14/15):1621-1628.
[17]	VINS V, VACEK V. Mass flow rate correlation for two-phase flow of R218 through a capillary tube[J]. Appl. Therm. Eng., 2009, 29(14/15):2816-2823.
[18]	KHAN M. Experimental investigation on diabetic flow of R-134a through spiral capillary tube[J]. Int. J. Refrigeration, 2009, 32(2):261-271.
[19]	MITTAL M, KUMAR R, GUPTA A. An experimental study of the flow of R-407C in an adiabatic helical capillary tube[J]. Int. J. Refrigeration, 2010, 33(4):840-7.
[20]	GEIGER G E. Sudden contraction losses in single and two-phase flow[D].Pennsylvania:University of Pittsburgh, 1964.
[21]	SCHMIDT J, FRIEDEL L. Two-phase pressure drop across sudden contractions in duct areas[J]. Int. J. Multiphase Flow, 1997, 23:283-299.

Development of correlation for mass flow rate through varying diameter capillary tube

变径毛细管流量关联式开发

PDF (PC)

Knowledge

Cited

Abstract

Cite this article

share this article

References 21

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]	Chao HU, Yuming DONG, Wei ZHANG, Hongling ZHANG, Peng ZHOU, Hongbin XU. Preparation of high-concentration positive electrolyte of vanadium redox flow battery by activating vanadium pentoxide with highly concentrated sulfuric acid [J]. CIESC Journal, 2023, 74(S1): 338-345.
[4]	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.
[5]	Mingkun XIAO, Guang YANG, Yonghua HUANG, Jingyi WU. Numerical study on bubble dynamics of liquid oxygen at a submerged orifice [J]. CIESC Journal, 2023, 74(S1): 87-95.
[6]	Ruitao SONG, Pai WANG, Yunpeng WANG, Minxia LI, Chaobin DANG, Zhenguo CHEN, Huan TONG, Jiaqi ZHOU. Numerical simulation of flow boiling heat transfer in pipe arrays of carbon dioxide direct evaporation ice field [J]. CIESC Journal, 2023, 74(S1): 96-103.
[7]	Shaohua ZHOU, Feilong ZHAN, Guoliang DING, Hao ZHANG, Yanpo SHAO, Yantao LIU, Zheming GAO. Experimental study of flow noise in short tube throttle valve and noise reduction measures [J]. CIESC Journal, 2023, 74(S1): 113-121.
[8]	Yifei ZHANG, Fangchen LIU, Shuangxing ZHANG, Wenjing DU. Performance analysis of printed circuit heat exchanger for supercritical carbon dioxide [J]. CIESC Journal, 2023, 74(S1): 183-190.
[9]	He JIANG, Junfei YUAN, Lin WANG, Guyu XING. Experimental study on the effect of flow sharing cavity structure on phase change flow characteristics in microchannels [J]. CIESC Journal, 2023, 74(S1): 235-244.
[10]	Yaxin ZHAO, Xueqin ZHANG, Rongzhu WANG, Guo SUN, Shanjing YAO, Dongqiang LIN. Removal of monoclonal antibody aggregates with ion exchange chromatography by flow-through mode [J]. CIESC Journal, 2023, 74(9): 3879-3887.
[11]	Kaijie WEN, Li GUO, Zhaojie XIA, Jianhua CHEN. A rapid simulation method of gas-solid flow by coupling CFD and deep learning [J]. CIESC Journal, 2023, 74(9): 3775-3785.
[12]	Yubing WANG, Jie LI, Hongbo ZHAN, Guangya ZHU, Dalin ZHANG. Experimental study on flow boiling heat transfer of R134a in mini channel with diamond pin fin array [J]. CIESC Journal, 2023, 74(9): 3797-3806.
[13]	Hao WANG, Zhenlei WANG. Model simplification strategy of cracking furnace coking based on adaptive spectroscopy method [J]. CIESC Journal, 2023, 74(9): 3855-3864.
[14]	Jiaqi YUAN, Zheng LIU, Rui HUANG, Lefu ZHANG, Denghui HE. Investigation on energy conversion characteristics of vortex pump under bubble inflow [J]. CIESC Journal, 2023, 74(9): 3807-3820.
[15]	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.