Abstract
A comprehensively two-dimensional model is established to investigate the thermal performance of two-phase closed thermosyphon (TPCT) charged with acetone. A Volume of Fluid (VOF) method is utilized to simulate the phase change and two-phase flow behaviors. The mass and heat transfer process during the evaporation and condensation are implemented by a user-defined function (UDF) source. The application of thermosyphon can meet the requirements of space structure of battery pack and transfer massive heat from the cell to the environment by phase change mechanism. Additionally, an extended condenser surface of the thermosyphon is developed to enhance the heat transfer performance of liquid film condensation by extended surface, which is estimated by several indicators in terms of temperature distribution, vapor volume fraction, thermal resistance, wall heat transfer coefficient, and velocity. The results reveal that TPCT with extended condenser surface can maintain a great thermal homogeneity and generate well-distributed bubbles along the vertical axial without heat accumulation at the upper zone of evaporator section. Compared with normal condenser, the total thermal resistances decrease by 5%, 25.7% and 17.0% respectively, while the heating power are 5 W, 10 W and 15 W. Moreover, higher power inputs can significantly accelerate the formation of bubbles at the boiling pool, as well as the droplets and liquid film at the condenser section, which increase the thermal performance of thermosyphon.
Similar content being viewed by others
Abbreviations
- α:
-
Volume fraction
- t:
-
Time (s)
- u:
-
Velocity (m/s)
- S:
-
Source term in equations
- P:
-
Pressure (Pa)
- g:
-
Gravitational acceleration (m/s2)
- F:
-
Force (N)
- C:
-
Curvature (m-1)
- E:
-
Energy (W/m3)
- k:
-
Thermal conductivity (W/m·K)
- T:
-
Temperature (K)
- LH:
-
Latent heat (kJ/kg)
- Q:
-
Heating power (W)
- d:
-
Diameter of thermosyphon
- Cp:
-
Specific heat capacity (J/kg·K)
- h:
-
Heat transfer coefficient (W/K·m2)
- l:
-
Liquid phase
- v:
-
Vapor phase
- m:
-
Mass
- av:
-
Average value
- mix:
-
Mixture state
- sat:
-
Saturation state
- eo:
-
Evaporation
- co:
-
Condensation
- c:
-
Condenser section
- e:
-
Evaporator section
- a:
-
Adiabatic section
- in:
-
Input
- ∞:
-
Cooling water
- exp:
-
Experiment
- sl:
-
Sonic limit
- el:
-
Entrainment limit
- ρ:
-
Density (kg/m3)
- μ:
-
Dynamic viscosity (Pa·s)
- σ:
-
Surface tension (N/m)
- β:
-
Empirical frequency constant (s-1)
- TPCT:
-
Two-phase closed thermosyphon
- VOF:
-
Volume of fluid
- UDF:
-
User-defined function
- BTM:
-
Battery thermal management
- HP:
-
Heat pipe
- CFD:
-
Computational fluid dynamics
- CSF:
-
Continuum surface force
References
Deng S, Li K, Xie Y et al (2019) Heat Pipe Thermal Management Based on High-Rate Discharge and Pulse Cycle Tests for Lithium-Ion Batteries. Energies 12. https://doi.org/10.3390/en12163143
Jafari D, Franco A, Filippeschi S et al (2016) Two-phase closed thermosyphons: A review of studies and solar applications. Renewable & Sustainable Energ Rev 53:575–593. https://doi.org/10.1016/j.rser.2015.09.002
Franco A, Filippeschi S (2012) Closed Loop Two-Phase Thermosyphon of Small Dimensions: a Review of the Experimental Results. Microgravity Sci Technol 24(3):165–179. https://doi.org/10.1007/s12217-011-9281-6
Xia G, Wang W, Cheng L et al (2017) Visualization study on the instabilities of phase-change heat transfer in a flat two-phase closed thermosyphon. Appl Thermal Eng 116(Complete):392–405. https://doi.org/10.1016/j.applthermaleng.2017.01.096
Zou L, Wang W (2017) Simulation study of flow and heat transfer in a thermosyphon. Numerical Heat Transf Part B - Fundamentals 1–16. https://doi.org/10.1080/10407790.2017.1338098
Soponpongpipat N, Nanetoe S, Comsawang P (2020) Thermal Degradation of Cassava Rhizome in Thermosyphon-Fixed Bed Torrefaction Reactor. Processes 8:267. https://doi.org/10.3390/pr8030267
Parand R, Rashidian B, Ataei A, Shakiby Kh (2009) Modeling the Transient Response of the Thermosyphon Heat Pipes. J Appl Sci 9:1531–1537. https://doi.org/10.3923/jas.2009.1531.1537
Sundaram AS, Bhaskaran A (2011) Thermal Modeling of Thermosyphon Integrated Heat Sink for CPU Cooling. J Electronics Cooling & Thermal Control 1(2):15–21. https://doi.org/10.4236/jectc.2011.12002
Byrne P, Miriel J, Lenat Y (2011) Experimental study of an air-source heat pump for simultaneous heating and cooling - Part 1: Basic concepts and performance verification. Applied Energy 88(5):1841–1847. https://doi.org/10.1016/j.apenergy.2010.12.009
Khalili, Bagheri M, Ziapour et al (2016) PVT type of the two-phase loop mini tube thermosyphon solar water heater. Energy conversion & management. https://doi.org/10.1016/j.enconman.2016.10.004
Zhao J, Ma XQ et al (2019) Numerical and Experimental Studies on an Innovative Wasp Waist Tube and Louvered Fin Type Assembled Compact Radiator. J enhanced heat transfer 26(3):257–275. https://doi.org/10.1615/JEnhHeatTransf.2019028290
Park Y, Jun S, Kim S et al (2010) Design optimization of a loop heat pipe to cool a lithium ion battery onboard a military aircraft. J Mech Sci Technol 24:609–618. https://doi.org/10.1007/s12206-009-1214-6
Mohammadian SK, Zhang Y (2015) Thermal management optimization of an air-cooled Li-ion battery module using pin-fin heat sinks for hybrid electric vehicles. J Power Sources 273:431–439. https://doi.org/10.1016/j.jpowsour.2014.09.110
Zhao J, Ma X, Li M et al (2019) Numerical and Experimental Studies on an Innovative Wasp Waist Tube and Louvered Fin Type Assembled Compact Radiator. J Enhanced Heat Transf 26(3). https://doi.org/10.1615/JEnhHeatTransf.2019028290
Pesaran AA (2002) Battery Thermal Models for Hybrid Vehicle Simulations. J Power Sources 110(2):377–382. https://doi.org/10.1016/S0378-7753(02)00200-8
Tran TH, Harmand S, Sahut B (2014) Experimental investigation on heat pipe cooling for hybrid electric vehicle and electric vehicle lithium-ion battery. J Power Sources 265:262–272. https://doi.org/10.1016/j.jpowsour.2014.04.130
Wu MS, Liu KH, Wang YY et al (2002) Heat dissipation design for lithium-ion batteries. J Power Sources 109(1):160–166. https://doi.org/10.1016/S0378-7753(02)00048-4
Liu Y, Jiang T, Zheng Y, Tian J, Ma Z (2019) Multi-Scale Multi-Field Coupled Analysis of Power Battery Pack Based on Heat Pipe Cooling. Processes 7:696. https://doi.org/10.3390/pr7100696
Rao Z, Wang S, Wu M, Lin Z, Li F (2013) Experimental investigation on thermal management of electric vehicle battery with heat pipe, Energ. Convers. Manage 65:92–97. https://doi.org/10.1016/j.enconman.2012.08.014
Wang Q, Jiang B, Xue QF et al (2015) Experimental investigation on EV battery cooling and heating by heat pipes. Appl Thermal Eng 54–60. https://doi.org/10.1016/j.applthermaleng.2014.09.083
Alizadehdakhel A, Rahimi M, Alsairafi AA et al (2010) CFD modeling of flow and heat transfer in a thermosyphon. Int Commun Heat Mass Transf 37(3):312–318. https://doi.org/10.1016/j.icheatmasstransfer.2009.09.002
Fadhl B, Wrobel LC, Jouhara H et al (2013) Numerical modelling of the temperature distribution in a two-phase closed thermosyphon. Appl Therm Eng 60(1):122–131. https://doi.org/10.1016/j.applthermaleng.2013.06.044
Fadhl B, Wrobel L C, Jouhara H et al (2015) CFD modelling of a two-phase closed thermosyphon charged with R134a and R404a. Appl Thermal Eng 482–490. https://doi.org/10.1016/j.applthermaleng.2014.12.062
Tong Z, Liu X, Li Z et al (2016) Experimental study on the effect of fill ratio on an R744 two-phase thermosyphon loop. Appl Thermal Eng 302–312. https://doi.org/10.1016/j.applthermaleng.2016.01.065
Fertahi S, Bouhal T, Agrouaz Y et al (2017) Performance optimization of a two-phase closed thermosyphon through CFD numerical simulations. Appl Thermal Eng S1359431117339558. https://doi.org/10.1016/j.applthermaleng.2017.09.049
Xu Z, Zhang Y, Li B et al (2018) The influences of the inclination angle and evaporator wettability on the heat performance of a thermosyphon by simulation and experiment. Int J Heat & Mass Transf 116(JAN.):675–684. https://doi.org/10.1016/j.ijheatmasstransfer.2017.09.028
Brackbill JU, Kothe DB, Zemach C et al (1992) A continuum method for modeling surface tension[J]. J Comput Phys 100(2):335–354. https://doi.org/10.1016/0021-9991(92)90240-Y
Schepper SCKD, Heynderickx GJ, Marin GB (2009) Modeling the evaporation of a hydrocarbon feedstock in the convection section of a steam cracker[J]. Comput Chem Eng 33(1):122–132. https://doi.org/10.1016/j.compchemeng.2008.07.013
Fadhl B (2016) Modelling of the thermal behaviour of a two-phase closed thermosyphon [D]. Brunel University, London
Fang B, Wang F (2015) Energy-saving and emission reduction technology of heat pipe heat exchanger. Chemical Industry Press
Huang F, Zhao J, Zhang Y et al (2020) Numerical analysis on flow pattern and heat transfer characteristics of flow boiling in the mini-channels. Numerical Heat Transf Fundamentals 1–27. https://doi.org/10.1080/10407790.2020.1787032
Wang X, Ma T, Zhu Y et al (2016) Experimental investigation on startup and thermal performance of a high temperature special-shaped heat pipe coupling the flat plate heat pipe and cylindrical heat pipes[J]. Exp Thermal Fluid Sci 77:1–9. https://doi.org/10.1016/j.expthermflusci.2016.03.013
Acknowledgements
The authors gratefully acknowledge the financial supported by National Nature Science Foundation of China (Grant No.51965008), Major Science and Technology projects of China of Guizhou ZNWLQC [2019]3012.
Author information
Authors and Affiliations
Contributions
All authors contributed to the study conception and design. Material preparation, Methodology, data collection, analysis and Funding acquisition, were performed by Zhao Liu, Chao Wang, Yangjun Qin, Yanbiao Wang, Chang Liu and Jin Zhao. The first draft of the manuscript was written by Chao Wang, Zhao Liu and all authors commented on previous versions of the manuscript, the overall modification is performed by Zhao Liu. All authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Liu, Z., Zhao, J., Wang, C. et al. Numerical investigations on the thermal performance of two-phase closed thermosyphon with extended condenser surface. Heat Mass Transfer 59, 377–392 (2023). https://doi.org/10.1007/s00231-022-03264-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00231-022-03264-5