Analysis and optimization of bubble pump pressure drop model

doi:10.16085/j.issn.1000-6613.2017.02.003

Abstract

Abstract: Two-phase flow theory was used to establish an one-dimensional and steady state mathematical model of bubble pump pressure drop. Three kinds of homogeneous flow pressure drop models and 15 kinds of split phase flow pressure drop models (three kinds of split phase flow friction pressure drop models with 5 kinds of cross section gas rate models) were selected to simulate,then the experimental data of the bubble pump with saturated water as working fluid were analyzed and compared with the theoretical value. The result showed that simulation accuracy of the Friedel friction pressure drop model combining Zuber section gas rate model is the highest. However,when we use this model to simulate the flow characteristics of the liquid lift of the bubble pump with the change of the heating power,we found that the theoretical value and the experimental value agree well only within a certain range of heating power. Therefore,sectional optimization on bubble pump model was put forward. We found that the simulation accuracy of M-S split phase flow model combined with Tom variable density section gas rate model is the highest under the working condition of low heating power. The Dukler homogeneous flow model of the friction pressure drop is the best model under the higher heating power working condition. Therefore,the method of optimizing the theoretical model of bubble pump by subsection has high credibility.

Key words: single-pressure absorption refrigeration, pump, two-phase flow, model, optimization

摘要： 利用两相流理论建立了一维、稳态的气泡泵压降数学模型。对3种均相流压降模型和15种分相流压降模型（3种分相流摩阻压降模型与5种截面含气率模型结合）进行了模拟计算，然后结合以饱和水为工质的气泡泵的实验数据，对理论值与实验值进行对比分析。结果表明：Friedel摩阻压降模型结合Zuber截面含气率模型的分相流压降模型的模拟精度最高，适用性最好。在选用该模型模拟气泡泵液体提升量随加热功率变化的流动特性时，发现理论值与实验值在一定加热功率范围内吻合很好，然而超过此范围，实验值与理论值的之差越来越大。因此提出了对气泡泵理论模型进行分段优化，结果表明：在低加热功率工况下模拟精度最高的是M-S分相流模型结合Tom变密度截面含气率模型，在高加热功率工况下模拟精度最高的是Dukler均相流摩阻压降模型。因此分段优化气泡泵理论模型的方法具有较高的可信性。

关键词: 单压吸收式制冷, 泵, 两相流, 模型, 优化

CLC Number:

XIE Yubo, LIU Daoping, YANG Liang, JIANG Danqing, YANG Meng. Analysis and optimization of bubble pump pressure drop model[J]. Chemical Industry and Engineering Progree, 2017, 36(02): 418-425.

谢育博, 刘道平, 杨亮, 蒋丹清, 杨梦. 气泡泵压降模型的分析与优化[J]. 化工进展, 2017, 36(02): 418-425.

References

[1] EINSTEIN A,SZILARD L.The Einstein-Szilard refrigerator:US1781541[P].1930-11-11.
[2] 方甲闯,郑宏飞,李正良.小型太阳能吸收式空调多根弦月形通道溶液提升泵的性能研究[J].太阳能学报,2007,28(3):291-295. FANG Jiachuang,ZHENG Hongfei,LI Zhengliang. Study on performance of the thermosiphon solution elevation pump with multi-lunate channels in minitype solar absorption type air-conditioning system[J].Acta Energiae Solaris Sinica,2007,28(3):291-295.
[3] 汤成伟,刘道平,祁影霞,等.单压吸收式Enistein循环制冷机中气泡泵的性能分析[J].制冷学报,2009,30(3):35-39. TANG Chengwei,LIU Daoping,QI Yingxia,et al. Performance of bubble pump in single-pressure Einstein absorption refrigerator[J]. Journal of Refrigeration,2009,30(3):35-39.
[4] STENNING A H,MARTIN C B. An analytical and experimental study of air lift pump performance[J]. Eng.Power,Trans.ASME,1968,90:106-110.
[5] DELANO A.Design Analysis of the Einstein Refrigeration cycle[D].Atlanta,Georgia:Georgia Institute of Technology,1998.
[6] 阙雄才,李红.热虹吸泵绝热弹状流的热虹吸特性研究——无泵溴化锂吸收式太阳能制冷机机理研究之二[J].太阳能学报,1989,10(1):1-13. QUE Xiongcai,LI Hong. Study on thermal siphon characteristics of slug flow with heat insulation in thermal siphon pump——the second mechanism studies on pumpless LiBr absorption solar refrigerating machine[J].Acta Energiae Solaris Sinica,1989,10(1):1-13.
[7] 郑晓倩,刘道平,陈永军,等.圆弧形导流式气泡泵的冷态试验研究[J]. 流体机械,2015(9):58-62. DENG Xiaoqian,LIU Daoping,CHEN Yongjun,et al.Experimental study of circular arc form guided bubble pump under cold state[J].Fluid Machinery,2015(9):58-62.
[8] 陈永军,刘道平,黄塬琳,等.变截面直立管气泡泵理论模型验证研究[J]. 太阳能学报,2016(4):917-923. CHEN Yongjun,LIU Daoping,HUANG Yuanlin,et al.Theoretical model validation study of variable cross-section upright tubular bubble pump[J].Acta Energiae Solaris Sinica,2016(4):917-923.
[9] 刘振全,吴玉莹,张中诚.无泵溴化锂吸收式制冷气泡泵压力特性数学模型的探讨[J].兰州理工大学学报,2003,29(4):57-59. LIU Zhenquan,WU Yuying,ZHANG Zhongcheng.Inquiry of mathematical model for pressure characteristics of bubble pump for pump-free lithium bromide absorption refrigeration[J].Journal of Gansu University of Technology,2003,29(4):57-59.
[10] 平亚琴,刘道平,陈盛祥,等. 单压吸收式制冷系统气泡泵理论模型与实验研究[J]. 制冷学报,2010,31(6):46-50. PING Yaqin,LIU Daoping,CHEN Shengxiang,et al. Theoretical model and experimental analysis of bubble pump in single-pressure absorption refrigeration system[J]. Journal of Refrigeration,2010,31(6):46-50.
[11] 陈永军,刘道平,黄塬琳,等. Einstein制冷系统气泡泵理论模型修正验证研究[J]. 制冷学报,2014(6):68-74. CHEN Yongjun,LIU Daoping,HUANG Yuanlin,et al.Correction and validation of theoretical model of bubble pump in einstein refrigeration system[J]. Journal of Refrigeration,2014(6):68-74.
[12] 李华山,王令宝,卜宪标,等.提升管管径对有机工质气泡泵性能的影响分析[J]. 新能源进展,2016,4(1):56-61. LI Huashan,WANG Lingbao,BU Xianming,et al. Effects of lift-tube diameter on performance of bubble pump with organic working fluids[J].Advances in New and Renewable Energy,2016,4(1):56-61.
[13] ROBERT F,MUDDE. Gravity-driven bubbly flows[J]. Annual Review of Fluid Mechanics,2005,37(1):393-423.
[14] ZHANG T,WANG J,LUO Z,et al. Multiphase flow characteristics of a novel internal-loop airlift reactor[J]. Chemical Engineering Journal,2005,109(1):115-122.
[15] 张立英,黄青山. 气升式环流反应器的理论研究进展[J]. 过程工程学报,2011,11(1):162-173. ZHANG Liying,HUANG Qingsan.Research progress in the modeling theory of airlift loop reactor[J].The Chinese Journal of Process Engineering,2011,11(1):162-173.
[16] MÜLLER-STEINHAGEN H,HECK K.A simple friction pressure drop correlation for two-phase flow in pipes[J]. Chemical Engineering and Processing:Process Intensification,1986,20(6):297-308.
[17] LOMBARDI C,CARSANA C.Dimensionless pressure drop correlation for two-phase mixtures flowing up-flow in vertical ducts covering wide parameter ranges[J].Heat and Technology,1992,10(1):125-141.
[18] LOCKHART R,MARTINELLI R. Proposed correlation of data for isothermal two-phase,two-component flow in pipes[J]. Chemical Engineering Progress,1949,45(1):39-48.
[19] FRIEDEL L.Improved friction pressure drop correlations for horizontal and vertical two-phase pipe flow[C]//European Two-Phase Flow Group Meeting,1979.
[20] 林宗虎.气液两相流和沸腾传热[M].西安:西安交通大学出版社,2003. LIN Zonghu.Gas liquid two phase flow and boiling heat transfer[M].Xi'an:Xi'an Jiaotong University Press,2003.