Heat Transfer Enhancement using Combined Microchannel with Vertical Rectangular Micro Fins
Keywords:
Microchannel structure, configuration, combined microchannelAbstract
This paper focuses on the numerical optimisation of a combined hybrid microchannel heat sink with rectangular solid fins. The axial length and volume are fixed, and external structure is allowed to vary. The simulation was performed on an elemental unit cell of the microchannel heat sink The purpose of the optimisation is to discover an optimal geometric arrangement in internal and external configurations that minimises peak temperature in the microchannel heat sink. A high-density uniform heat flux of is assumed to be dissipated on the bottom wall of the unit cell by microelectronics circuit boards devices. Computational fluid dynamic code was used to discretized the fluid domain and solve a set of governing equations. The influence of hydraulic diameter, external structural shape and fluid velocity on peak temperature and global thermal resistance, is discussed. Coolant or water of Reynolds number range 400 to 500 in a forced convection laminar flow is introduced through the inlet of the computational domain to remove the heat at the bottom of the rectangular block microchannel. The results show that when the fluid velocity is increased from 9.8 to 12.3 m/s across the axial length of the micro heat sink, more heat is removed from the bottom of the combined heat sink. The results revealed that the pump power increased by 37.1% in combined microchannels with fins and from by 27.2% in finless micro heat sink. The result of the study is validated with what is documented in open literature for a traditional micro heat sink with circular flow channel and the trends agree.
References
Achanta, V.S. (2003). An experimental study of end wall heat transfer enhancement or flow staggered non-conducting pin fin arrays. Unpublished PhD Thesis, Department of Mechanical Engineering, Texas A & M University, U.S.A.
Adewumi, O.O.; T. Bello-Ochende and J.P. Meyer. (2013). Constructal design of combined microchannel and micro pin fins for electronic cooling. International Journal of Heat and Mass Transfer, 66: 315–323. doi:10.1016/j.ijheatmasstransfer.2013.07.039.
Azoumah, Y.; P. Neveu and N. Mazet. (2007). Optimal design of thermochemical reactors based on constructal approach. AIChE Journal, 53(5): 1257–1266. doi:10.1002/aic.11152.
Bejan, A. (1993). Heat transfer. New Jersey: John Wiley & Sons.
Bejan, A. (2016). Advanced Engineering Thermodynamics. 4th edn. Hoboken: John Wiley & Sons.
Bejan, A. and Dan, N. (1999). Two constructal routes to minimal heat flow resistance via greater internal complexity. Journal of Heat Transfer, 121(1): 6–14. doi:10.1115/1.2825968.
Bejan, A. and Fautrelle, Y. (2003). Constructal multi-scale structure for maximal heat transfer density. Acta Mechanica, 163(1–2)" 39–49. doi:10.1007/s00707-003-1008-3.
Bejan, A. and Lorente, S. (2006). Design with Constructal Theory. International Journal of Engineering Education, 22(1): 140–147.
Bejan, A.; L.A.O. Rocha and S. Lorente. (2000). Thermodynamic optimization of geometry: T- and Y-shaped constructs of fluid streams. International Journal of Thermal Sciences, 39(9–11): 949–960. doi:10.1016/S1290-0729(00)01176-5.
Bello-Ochende, T.; O.T. Olakoyejo; J. P. Meyer; A. Bejan and S. Lorente. (2013). Constructal flow orientation in conjugate cooling channels with internal heat generation. International Journal of Heat and Mass Transfer, 57(1): 241–249. doi:10.1016/j.ijheatmasstransfer.2012.10.021.
Bello-Ochende, T.; J.P. Meyer and A. Bejan. (2010). Constructal multi-scale pin-fins. International Journal of Heat and Mass Transfer, 53(13–14): 2773–2779. doi:10.1016/j.ijheatmasstransfer.2010.02.021.
Bello-Ochende, T.; J.P. Meyer and O.I. Ogunronbi. (2011). Constructal multiscale cylinders rotating in cross-flow. International Journal of Heat and Mass Transfer, 54(11–12): 2568–2577. doi:10.1016/j.ijheatmasstransfer.2011.02.004.
Cetkin, E. (2010). The natural emergence of vascular design with turbulent flow. Unpublished MSc thesis, Duke University, USA.
Chai, L. et al. (2011). Numerical simulation of fluid flow and heat transfer in a microchannel heat sink with offset fan-shaped reentrant cavities in sidewall. International Communications in Heat and Mass Transfer, 38(5): 577–584. doi:10.1016/j.icheatmasstransfer.2010.12.037.
Chen, C.; S. Yang and M. Pan. (2021). Microchannel structure optimization and experimental verification of a plate heat exchanger. International Journal of Heat and Mass Transfer, 175: 121385. doi:10.1016/j.ijheatmasstransfer.2021.121385.
Chen, C.L. and Cheng, C.H. (2009). Numerical study of the effects of lid oscillation on the periodic flow pattern and convection heat transfer in a triangular cavity. International Communications in Heat and Mass Transfer, 36(6): 590–596. doi:10.1016/j.icheatmasstransfer.2009.03.006.
Díez, L.I.; S. Espatolero; C. Cortes and A. Campo. (2010). Thermal analysis of rough micro-fins of variable cross-section by the power series method’, International Journal of Thermal Sciences, 49(1): 23–35. doi:10.1016/j.ijthermalsci.2009.05.013.
Fan, Y. and Luo, L. (2008). Recent applications of advances in microchannel heat exchangers and multi-scale design optimization’, Heat Transfer Engineering, 29(5): 461–474. doi:10.1080/01457630701850968.
Gad-el-Hak, M. (2002). The MEMS Handbook, The MEMS Handbook. Taylor & Francis. doi:10.1201/9780429103872.
Gupta, D.; P. Saha and S. Roy. (2021). Computational analysis of perforation effect on the thermo-hydraulic performance of micro pin-fin heat sink. International Journal of Thermal Sciences, 163: 106857. doi:10.1016/j.ijthermalsci.2021.106857.
Hajialibabaei, M. and Saghir, M.Z. (2022). A critical review of the straight and wavy microchannel heat sink and the application in lithium-ion battery thermal management. International Journal of Thermofluids, 14: 100153. doi:10.1016/j.ijft.2022.100153.
Han, Y.; Y. Liua; M. Liaa and J. Huanga. (2012). A review of development of micro-channel heat exchanger applied in air-conditioning system. in Energy Procedia. Elsevier, 148–153. doi:10.1016/j.egypro.2011.12.910.
He, Z.; Y. Yan and Z. Zhang. (2021). Thermal management and temperature uniformity enhancement of electronic devices by micro heat sinks: A review. Energy, 216: 119223. doi:https://doi.org/10.1016/j.energy.2020.119223.
Ighalo, F.U. (2010). Optimisation of microchannels and micro pin-fin heat sinks with computational fluid dynamics in combination with a mathematical optimisation algorithm. Unpublished MSc. Thesis, Mechanical and Aeronautical Engineering, University of Pretoria, South Africa.
Ismail, L.S.; C. Ranganayakulu and R.K. Shah. (2009). Numerical study of flow patterns of compact plate-fin heat exchangers and generation of design data for offset and wavy fins’, International Journal of Heat and Mass Transfer, 52(17–18): 3972–3983. doi:10.1016/j.ijheatmasstransfer.2009.03.026.
John, T.J.; B. Mathew and H. Hegab. (2010). Parametric study on the combined thermal and hydraulic performance of single phase micro pin-fin heat sinks part I: Square and circle geometries’, International Journal of Thermal Sciences, 49(11): 2177–2190. doi:10.1016/j.ijthermalsci.2010.06.011.
Kern, D.Q. and Kraus, A.D. (1972) Extended surface heat transfer. New York: McGraw-Hill.
Khan, M.N.; M.N. Karimi and M.O. Qidwai. (2022). Effect of circular perforated pin fin on heat transfer and fluid flow characteristics of rectangular microchannel heat sink. Numerical Heat Transfer, Part A: Applications, 1–15. doi:10.1080/10407782.2022.2101809.
Kim, D.; S.J. Kim and A. Ortega. (2004). Compact modeling of fluid flow and heat transfer in pin fin heat sinks. Journal of Electronic Packaging, Transactions of the ASME, 126(3): 342–350. doi:10.1115/1.1772415.
Koşar, A.; C. Mishra and Y. Peles. (2005). Laminar flow across a bank of low aspect ratio micro pin fins. Journal of Fluids Engineering, Transactions of the ASME, 127(3): 419–430. doi:10.1115/1.1900139.
Koşar, A. and Peles, Y. (2006). Thermal-hydraulic performance of MEMS-based pin fin heat sink’, Journal of Heat Transfer, 128(2): 121–131. doi:10.1115/1.2137760.
Kulkarni, R.S. (2005). Infusion of Robustness into the Product Platform Constructal Theory Method. Unpublished MSc Thesis, Department of Mechanical Engineering, Georgia Institute of Technology, USA.
Laermer, F. and Urban, A. (2003). Challenges, developments and applications of silicon deep reactive ion etching. in Microelectronic Engineering. Elsevier 349–355. doi:10.1016/S0167-9317(03)00089-3.
Naphon, P. and Sookkasem, A. (2007). Investigation on heat transfer characteristics of tapered cylinder pin fin heat sinks’, Energy Conversion and Management, 48(10), pp. 2671–2679. doi:10.1016/j.enconman.2007.04.020.
Olakoyejo, O.T.; T. Bello-Ochende and J.P. Meyer. (2012). ‘Constructal conjugate cooling channels with internal heat generation’, International Journal of Heat and Mass Transfer, 55(15–16), pp. 4385–4396. doi:10.1016/j.ijheatmasstransfer.2012.04.007.
Patankar, S. V. (2018). Numerical Heat Transfer and Fluid Flow. CRC Press. doi:10.1201/9781482234213.
Pramanick, A.K. (2007). Natural Philosophy of Thermodynamic Optimization. Unpublished PhD. Thesis, Department of Mechanical Engineering and Materials Science, Duke University, Durham, USA.
Qiu, J.; J. Zhou; Q. Q. Zhao; H. Qin and X. Chen. (2021). Numerical investigation of flow boiling characteristics in cobweb-shaped microchannel heat sink. Case Studies in Thermal Engineering, 28: 101677. doi:10.1016/j.csite.2021.101677.
Reis, A.H. (2006). Constructal theory: From engineering to physics, and how flow systems develop shape and structure. Applied Mechanics Reviews. American Society of Mechanical Engineers Digital Collection: 269–282. doi:10.1115/1.2204075.
Reis, A.H. (2009). Constructal Theory--Complex flow structures in engineering and in Nature. in Conferência Nacional em Mecânica de Fluidos, Termodinâmica e Energia, 1–17.
Rocha, L.A.O.; S. Lorente and A. Bejan. (2002). Constructal design for cooling a disc-shaped area by conduction. International Journal of Heat and Mass Transfer, 45(8): 1643–1652. doi:10.1016/S0017-9310(01)00269-1.
Rocha, L.A.O.; E. Lorenzini and C. Biserni. (2005). Geometric optimization of shapes on the basis of Bejan’s Constructal theory. International Communications in Heat and Mass Transfer, 32(10): 1281–1288. doi:10.1016/j.icheatmasstransfer.2005.07.010.
Ryu, J.H.; D.H. Choi and S.J. Kim (2003). Three-dimensional numerical optimization of a manifold microchannel heat sink. International Journal of Heat and Mass Transfer, 46(9): 1553–1562. doi:10.1016/S0017-9310(02)00443-X.
Salimpour, M.R.; M. Sharifhasan and E. Shirani. (2011). Constructal optimization of the geometry of an array of micro-channels. International Communications in Heat and Mass Transfer, 38(1): 93–99. doi:10.1016/j.icheatmasstransfer.2010.10.008.
Siu-Ho, A.. W. Qu and F. Pfefferkorn. (2007). Experimental study of pressure drop and heat transfer in a single-phase micropin-fin heat sink. Journal of Electronic Packaging, Transactions of the ASME, 129(4): 479–487. doi:10.1115/1.2804099.
Tuckerman, D.B. and Pease, R.F.W. (1981). High-Performance Heat Sinking for VLSI. IEEE ELECTRON DEVICE LETTERS, 2(5): 126–129. doi:0193-8576/81/0500-0l26$00.75 0 1981 IEEE.
Vilarrubí, M.; S. Riera; M. Ibanez; M. Omri; G. Lagun; L. Frechette and J. Barra. (2018). Experimental and numerical study of micro-pin-fin heat sinks with variable density for increased temperature uniformity. International Journal of Thermal Sciences, 132: 424–434. doi:10.1016/j.ijthermalsci.2018.06.019.
Wu, W.; L. Chen and F. Sun. (2007). Heat-conduction optimization based on constructal theory’, Applied Energy, 84(1): 9–47. doi:10.1016/j.apenergy.2006.04.006.
Yaghoubi, M. and Velayati, E. (2005). Undeveloped convective heat transfer from an array of cubes in cross-stream direction. International Journal of Thermal Sciences, 44(8): 756–765. doi:10.1016/j.ijthermalsci.2005.02.003.
Yeh, R.H. (1997). An analytical study of the optimum dimensions of rectangular fins and cylindrical pin fins. International Journal of Heat and Mass Transfer, 40(15): 3607–3615. doi:10.1016/s0017-9310(97)00010-0.
Zhou, S.; L. Chen. and F. Sun. (2007). Constructal entropy generation minimization for heat and mass transfer in a solid-gas reactor based on triangular element. Journal of Physics D: Applied Physics, 40(11): 3545–3550. doi:10.1088/0022-3727/40/11/044.
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