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Chaotic behavior of pulsating heat pipes
Song, Yanxi; Xu, Jinliang
2009-06-01
Source PublicationINTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
ISSN0017-9310
Volume52Issue:13-14Pages:2932-2941
Corresponding Authorxujl@ms.giec.ac.cn
AbstractChaotic behavior of closed loop pulsating heat pipes (PHPs) was studied. The PHPs were fabricated by capillary tubes with outer and inner diameters of 2.0 and 1.20 mm. FC-72 and deionized water were used as the working fluids. Experiments cover the following data ranges: number of turns of 4, 6, and 9, inclination angles from 5 degrees (near horizontal) to 90, (vertical), charge ratios from 50% to 80%, heating powers from 7.5 to 60.0 W. The nonlinear analysis is based on the recorded time series of temperatures on the evaporation, adiabatic, and condensation sections. The present study confirms that PHPs are deterministic chaotic systems. Autocorrelation functions (ACF) are decreased versus time, indicating prediction ability of the system is finite. Three typical attractor patterns are identified. Hurst exponents are very high, i.e., from 0.85 to 0.95, indicating very strong persistent properties of PHPs. Curves of correlation integral versus radius of hypersphere indicate two linear sections for water PHPs, corresponding to both high frequency, low amplitude, and low frequency, large amplitude oscillations. At small inclination angles near horizontal, correlation dimensions are not uniform at different turns of PHPs. The non-uniformity of correlation dimensions is significantly improved with increases in inclination angles. Effect of inclination angles on the chaotic parameters is complex for FC-72 PHPs, but it is certain that correlation dimensions and Kolmogorov entropies are increased with increases in inclination angles. The optimal charge ratios are about 60-70%, at which correlation dimensions and Kolmogorov entropies are high. The higher the heating power, the larger the correlation dimensions and Kolmogorov entropies are. For most runs, large correlation dimensions and Kolmogorov entropies correspond to small thermal resistances, i.e., better thermal performance, except for FC-72 PHPs at small inclination angles of theta < 15 degrees. (C) 2009 Elsevier Ltd. All rights reserved.
SubtypeArticle
Other AbstractChaotic behavior of closed loop pulsating heat pipes (PHPs) was studied. The PHPs were fabricated by capillary tubes with outer and inner diameters of 2.0 and 1.20 mm. FC-72 and deionized water were used as the working fluids. Experiments cover the following data ranges: number of turns of 4, 6, and 9, inclination angles from 5 degrees (near horizontal) to 90, (vertical), charge ratios from 50% to 80%, heating powers from 7.5 to 60.0 W. The nonlinear analysis is based on the recorded time series of temperatures on the evaporation, adiabatic, and condensation sections. The present study confirms that PHPs are deterministic chaotic systems. Autocorrelation functions (ACF) are decreased versus time, indicating prediction ability of the system is finite. Three typical attractor patterns are identified. Hurst exponents are very high, i.e., from 0.85 to 0.95, indicating very strong persistent properties of PHPs. Curves of correlation integral versus radius of hypersphere indicate two linear sections for water PHPs, corresponding to both high frequency, low amplitude, and low frequency, large amplitude oscillations. At small inclination angles near horizontal, correlation dimensions are not uniform at different turns of PHPs. The non-uniformity of correlation dimensions is significantly improved with increases in inclination angles. Effect of inclination angles on the chaotic parameters is complex for FC-72 PHPs, but it is certain that correlation dimensions and Kolmogorov entropies are increased with increases in inclination angles. The optimal charge ratios are about 60-70%, at which correlation dimensions and Kolmogorov entropies are high. The higher the heating power, the larger the correlation dimensions and Kolmogorov entropies are. For most runs, large correlation dimensions and Kolmogorov entropies correspond to small thermal resistances, i.e., better thermal performance, except for FC-72 PHPs at small inclination angles of theta < 15 degrees.
KeywordPulsating Heat Pipe Nonlinear Analysis Correlation Dimension Kolmogorov Entropy
WOS HeadingsScience & Technology ; Physical Sciences ; Technology
DOI10.1016/j.ijheatmasstransfer.2009.02.030
WOS Subject ExtendedThermodynamics ; Engineering ; Mechanics
URL查看原文
WOS KeywordFLOW ; VISUALIZATION
Indexed BySCI
Language英语
Funding OrganizationNational Natural Science Foundation of China [50825603]; Natural Science Foundation of China [50776089]
WOS SubjectThermodynamics ; Engineering, Mechanical ; Mechanics
WOS IDWOS:000266216700004
Citation statistics
Cited Times:59[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.giec.ac.cn/handle/344007/3340
Collection中国科学院广州能源研究所
AffiliationChinese Acad Sci, Guangzhou Inst Energy Convers, Micro Energy Syst Lab, Guangzhou 510640, Guangdong, Peoples R China
Recommended Citation
GB/T 7714
Song, Yanxi,Xu, Jinliang. Chaotic behavior of pulsating heat pipes[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,2009,52(13-14):2932-2941.
APA Song, Yanxi,&Xu, Jinliang.(2009).Chaotic behavior of pulsating heat pipes.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,52(13-14),2932-2941.
MLA Song, Yanxi,et al."Chaotic behavior of pulsating heat pipes".INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 52.13-14(2009):2932-2941.
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