New design for the cold part of heat pipes using functionally graded material in heat sink with variable thickness fins: An analytical approach

Year 2024, Volume: 10 Issue: 5, 1323 - 1334, 10.09.2024

Mojtaba Babaelahi , Mohammad Amin Babazadeh Mahdi Saadatfar

Abstract

This study proposed a new design for the cold part of heat pipes that utilizes a Functionally Graded Material (FGM) in the heat sink with power-law fins. The heat transfer in the heat pipes was evaluated using the heat resistance method, and it was shown that the new design improves the performance of the heat pipe. A sensitivity analysis of geometrical and operational parameters was also conducted to examine their effects on the thermal management system. The results indicated that decreasing the inner radius and increasing the outer radius of the FGM fin with a power-law profile improves the thermal behavior by decreasing the absolute temperature of the fin by up to 1 Kelvin degree. It was also found that increasing the ambient air and the fin’s inner temperature had a negative effect on the fin’s performance by decreasing the amount of convection heat transfer and cooling. The study also showed that increasing the convection heat transfer coefficient and grading index reduces the absolute temperature by up to 1.5 Kelvin degrees, while decreasing the thickness profile coefficients, and conduction heat transfer coefficients positively affected the dimensionless temperature of the fin. The article concludes that using the new heat sink design improves the heat pipe’s performance and allows for the quick evaluation of the heat sink’s efficiency using an analytical solution.

Keywords

Analytical Solution, Condenser, FGM, Heat Pipe, Heat Sink

References

• [1] Elnaggar MH, Abdullah MZ, Mujeebu MA. Experimental analysis and FEM simulation of finned U-shape multi heat pipe for desktop PC cooling. Energy Conver Manage 2011;52:2937–2944. [CrossRef]
• [2] Elnaggar MH, Abdullah MZ, Mujeebu MA. Characterization of working fluid in vertically mounted finned U-shape twin heat pipe for electronic cooling. Energy Conver Manage 2012;62:31–39. [CrossRef]
• [3] Peng H, Li J, Ling X. Study on heat transfer performance of an aluminum flat plate heat pipe with fins in vapor chamber. Energy Conver Manage 2013;74:44–50. [CrossRef]
• [4] Samana T, Kiatsiriroat T, Nuntaphan A. Enhancement of fin efficiency of a solid wire fin by oscillating heat pipe under forced convection. Case Stud Therm Engineer 2014;2:36–41. [CrossRef]
• [5] Rahman ML, Mir F, Nawrin S, Sultan R, Ali M. Effect of fin and insert on the performance characteristics of Open Loop Pulsating Heat Pipe (OLPHP). Procedia Engineer 2015;105:105–112. [CrossRef]
• [6] Stark JR, Sharifi N, Bergman TL, Faghri A. An experimentally verified numerical model of finned heat pipes in crossflow. Int J Heat Mass Transf 2016;97:45–55. [CrossRef]
• [7] Yu F, Yu C, Cao J, Chen Y. Experimental analysis of the evaporation regimes of an axially grooved heat pipe at small tilt angles. Int J Heat Mass Transf 2018;126:334–341. [CrossRef]
• [8] Yue C, Zhang Q, Zhai Z, Ling L. CFD simulation on the heat transfer and flow characteristics of a microchannel separate heat pipe under different filling ratios. Appl Therm Engineer 2018;139:25–34. [CrossRef]
• [9] Gaikwad V, Mohite S. Performance analysis of microchannel heat sink with secondary flows and flow disrupting pins. J Therm Engineer 2022;8:402–425. [CrossRef]
• [10] Huang X, Shi C, Zhou J, Lu X, Xu G. Performance analysis and design optimization of heat pipe sink with a variable height fin array under natural convection. Appl Therm Engineer 2019;159:113939. [CrossRef]
• [11] Behi H, Karimi D, Behi M, Ghanbarpour M, Jaguemont J, Sokkeh MA, et al. A new concept of thermal management system in Li-ion battery using air cooling and heat pipe for electric vehicles. Appl Therm Engineer 2020;174:115280. [CrossRef]
• [12] Fikri B, Sofia E, Putra N. Experimental analysis of a multistage direct-indirect evaporative cooler using a straight heat pipe. Appl Therm Engineer 2020;171:115133. [CrossRef]
• [13] Guowei X, Rui M, Junjie Z, Shun Z, He Y. Thermal performance of an array condenser flat heat pipe for IGBT heat dissipation. Microelectron Reliab 2020;104:113546. [CrossRef]
• [14] Xu Y, Fan H, Shao B. Experimental and numerical investigations on heat transfer and fluid flow characteristics of integrated U-shape micro heat pipe array with rectangular pin fins. Appl Therm Engineer 2020;168:114640. [CrossRef]
• [15] Zeng S, Sun Q, Lee PS. Thermohydraulic analysis of a new fin pattern derived from topology optimized heat sink structures. Int J Heat Mass Transf 2020;147:118909. [CrossRef]
• [16] Dave C, Dandale P, ShrİVastava K, Dhaygude D, Rahangdale K, More N. A review on pulsating heat pipes: Latest research, applications and future scope. J Therm Engineer 2021;7:387–408. [CrossRef]
• [17] Abdelkareem MA, Maghrabie HM, Sayed ET, Kais E-CA, Abo-Khalil AG, Radi MA, et al. Heat pipe-based waste heat recovery systems: Background and applications. Therm Sci Engineer Prog 2022;29:101221. [CrossRef]
• [18] Ahmed S, Nashine C, Pandey M. Thermal management at microscale level: Detailed study on the development of a micro loop heat pipe. Micro Nano Engineer 2022;16:100150. [CrossRef]
• [19] Baek Y, Jung E. Experimental study on start-up and steady-state heat transfer performance of heat pipe with liquid bypass line for accelerating working fluid. Case Stud Therm Engineer 2022;29:101708. [CrossRef]
• [20] Guichet V, Delpech B, Khordehgah N, Jouhara H. Experimental and theoretical investigation of the influence of heat transfer rate on the thermal performance of a multi-channel flat heat pipe. Energy 2022;250:123804. [CrossRef]
• [21] Guo C, Wang T, Guo C, Jiang Y, Tan S, Li Z. Effects of filling ratio, geometry parameters and coolant temperature on the heat transfer performance of a wraparound heat pipe. Appl Therm Engineer 2022;200:117724. [CrossRef]
• [22] Höhne T. CFD simulation of a heat pipe using the homogeneous model. Int J Thermofluids 2022;15:100163. [CrossRef]
• [23] Kang Z, Shou D, Fan J. Numerical study of single-loop pulsating heat pipe with porous wicking layer. Int J Therm Sci 2022;179:107614. [CrossRef]
• [24] Kim M, Lee KH, Han DI, Moon JH. Numerical case study and modeling for spreading thermal resistance and effective thermal conductivity for flat heat pipe. Case Stud Therm Engineer 2022;31:101803. [CrossRef]
• [25] Muneeshwaran M, Lee YJ, Wang CC. Performance improvement of heat sink with vapor chamber base and heat pipe. Appl Therm Engineer 2022;215:118932. [CrossRef]
• [26] Sun H, Liu X, Liao H, Wang C, Zhang J, Tian W, et al. Experiment study on thermal behavior of a horizontal high-temperature heat pipe under motion conditions. Ann Nucl Energy 2022;165:108760. [CrossRef]
• [27] Wang H, Bao Y, Liu M, Zhu S, Du X, Hou Y. Experimental study on dynamic characteristics of cylindrical horizontal axially rotating heat pipe. Appl Therm Engineer 2022;209:118248. [CrossRef]
• [28] Wang Z, Diao Y, Zhao Y, Chen C, Wang T, Liang L. Effect of inclination angle on the charging process of flat heat pipe-assisted latent heat storage unit. J Energy Storage 2022;51:104402. [CrossRef]
• [29] Xu R, Li X, Lei T, Wu Q, Wang R. Operation characteristics of a gravity pulsating heat pipe under different heat inputs. Int J Heat Mass Transf 2022;189:122731. [CrossRef]
• [30] Xu X, Zhang X. Finite time thermodynamics analysis and research of pulsating heat pipe cold storage device. Energy Storage Saving 2022;1:33–43. [CrossRef]
• [31] Yang H, Wang C, Zhang D, Zhang J, Tian W, Qiu S, et al. Parameter sensitivity study on start-up characteristics of high temperature potassium heat pipe. Nucl Engineer Des 2022;392:111754. [CrossRef]
• [32] Lee HS. Thermal Design: Heat Sinks, Thermoelectrics, Heat Pipes, Compact Heat Exchangers, and Solar Cells. New Jersey: Wiley; 2010. [CrossRef]
• [33] Incropera FP, DeWitt DP, Bergman TL, Lavine AS. Fundamentals of Heat and Mass Transfer. New Jersey: Wiley; 1996.
• [34] Ranjan R, Mallick A, Prasad DK. Closed form solution for a conductive–convective–radiative annular fin with multiple nonlinearities and its inverse analysis. Heat Mass Transf 2017;53:1037–1049. [CrossRef]
• [35] Ranjan R, Mallick A, Jana P. Thermoelastic study of a functionally graded annular fin with variable thermal parameters using semiexact solution. J Therm Stresses 2019;42:1272–1297. [CrossRef]
• [36] Zhou J. Differential transformation and its applications for electrical circuits. Wuhan, China: Huazhong University Press; 1986.
• [37] Chen CK, Ho SH. Application of differential transformation to eigenvalue problems. Appl Math Comput 1996;79:173–188. [CrossRef]