10.1007/s40095-022-00515-3

Three-dimensional optimization of a heat sink performance using the combined active and passive methods

  1. équipe des Sciences des Matériaux, Énergies Nouvelles et Applications, Laboratoire LPTPME, Département de Physique, Faculté des sciences, Mohammed 1er, Université, Oujda, 60000, MA CREHEIO (Centre de Recherche de l’Ecole des Hautes Etudes d’Ingénierie), Oujda, 60000, MA
  2. University Mohammed 1st, Oujda, MA

Published in Issue 2022-07-19

How to Cite

Salhi, J.-E., Zarrouk, T., Chennaif, M., Benaichi, M., Salhi, M., & Salhi, N. (2022). Three-dimensional optimization of a heat sink performance using the combined active and passive methods. International Journal of Energy and Environmental Engineering, 14(2 (June 2023). https://doi.org/10.1007/s40095-022-00515-3

Abstract

Abstract The present study aims to investigate the effects of the presence of vortex generators in the cooling fluid flow of a microchannel heat sink and to seek to optimize its performance in terms of heat transfer. In addition, the cooling fluid used is a pure water solution in the presence of aluminum oxide (Al 2 O 3 ) nanoparticles. The numerical simulation is performed for different cases. Each case is characterized by the rate of the volume fraction of aluminum (Al 2 O 3 ) in the presence of the base fluid (pure water). Four cases were studied in which the rate of the volume fraction of aluminum (Al 2 O 3 ) suspended in the base fluid was chosen equal to 1%, 2%, 3%, and 4%, respectively. The heat sink is a microchannel, and the numerical simulations are performed for a Reynolds number in the range (600, 1400). A finite volume scheme resolves the system of differential equations governing the physical problem according to the imposed boundary conditions. The problem of pressure–velocity coupling, imposed by the presence of pressure by its gradient in the equations of the algebraic system to be solved, is solved by using the semi-implicit method for pressure-linked equation (SIMPLE) algorithm. The different thermal factors: the Nusselt number, the friction factor, and the thermal performance enhancement factor, and the two physical fields: the velocity and the temperature field, have been analyzed. The results obtained show that, for Re = 600, the value of Nu increased with increasing concentrations of 5.68, 8.16, 10.08, and 11.66 for a concentration equal to 1%, 2%, 3%, and 4%, respectively. The results also show that playing a vortex generator with a constant concentration equal to 2% could further improve the thermal performance improvement factor from 25 to 67%. Accordingly, the configuration corresponding to Case 2 performs better in heat transfer than the others. Finally, new correlations to predict the friction factor, Colburn j -factor, and Nusselt number as a Reynolds number and design function are located at the end of this study.

Keywords

  • CFD,
  • SIMPLE algorithm,
  • Nanofluid,
  • Al2O3,
  • Heat transfer,
  • Nusselt number,
  • Colburn coefficient

References

  1. Tsai and Chein (2007) Performance analysis of nanofluid-cooled microchannel heat sinks 28(5) (pp. 1013-1026) https://doi.org/10.1016/j.ijheatfluidflow.2007.01.007
  2. Nitiapiruk et al. (2013) Performance characteristics of a microchannel heat sink using TiO2/water nanofluid and different thermophysical models (pp. 98-104) https://doi.org/10.1016/j.icheatmasstransfer.2013.07.001
  3. Singh et al. (2012) Experimental and numerical investigation into the hydrodynamics of nanofluids in microchannels (pp. 174-186) https://doi.org/10.1016/j.expthermflusci.2012.05.004
  4. Rimbault et al. (2014) Experimental investigation of CuO–water nanofluid flow and heat transfer inside a microchannel heat sink (pp. 275-292) https://doi.org/10.1016/j.ijthermalsci.2014.05.025
  5. Morshed et al. (2013) Effect of Al2O3 nanoparticle deposition on flow boiling performance of water in a microchannel (pp. 6-13) https://doi.org/10.1016/j.expthermflusci.2012.11.015
  6. Ho et al. (2013) An experimental investigation of forced convective cooling performance of a microchannel heat sink with Al2O3/water nanofluid 30(2–3) (pp. 96-103)
  7. Salhi, J-E., Es-Sabry, Y., El Hour, H., Salhi, N.: Numerical analysis of the thermal performance of a nanofluid water–Al
  8. 2
  9. O
  10. 3
  11. in a heat sink with rectangular microchannel. In: 2nd International Conference on electronics, Control, Optimization and Computer Science (ICECOCS) in 2020 IEEE, pp 1–6 (2020)
  12. Anoop et al. (2012) Experimental study of forced convective heat transfer of nanofluids in a microchannel 39(9) (pp. 1325-1330) https://doi.org/10.1016/j.icheatmasstransfer.2012.07.023
  13. Kumar et al. (2022) A review of recent advances in green nanofluids and their application in thermal systems https://doi.org/10.1016/j.cej.2021.132321
  14. Tembhare et al. (2022) Performance evaluation of nanofluids in solar thermal and solar photovoltaic systems: a comprehensive review https://doi.org/10.1016/j.rser.2021.111738
  15. Kamenik et al. (2022) Numerical analysis of performance uncertainty of heat exchangers operated with nanofluids https://doi.org/10.1016/j.ijft.2022.100144
  16. Wang et al. (2022) Heat transfer characteristics and flow features of nanofluids in parallel flat minichannels https://doi.org/10.1016/j.powtec.2022.117321
  17. Izadi et al. (2015) Effects of inclination angle on laminar mixed convection of a nanofluid flowing through an annulus 202(12) (pp. 1693-1702) https://doi.org/10.1080/00986445.2014.910770
  18. Rostami et al. (2018) Heat transfer by nanofluids in wavy microchannels 29(4) (pp. 925-933) https://doi.org/10.1016/j.apt.2018.01.010
  19. Ranjbarzadeh et al. (2017) Empirical analysis of heat transfer and friction factor of water/graphene oxide nanofluid flow in turbulent regime through an isothermal pipe (pp. 538-547) https://doi.org/10.1016/j.applthermaleng.2017.07.189
  20. Aminossadati et al. (2011) Effects of magnetic field on nanofluid forced convection in a partially heated microchannel (pp. 1373-1382) https://doi.org/10.1016/j.ijnonlinmec.2011.07.013
  21. Bahiraei and Heshmatian (2018) Thermal performance and second law characteristics of two new microchannel heat sinks operated with hybrid nanofluid containing graphene–silver nanoparticles (pp. 357-370) https://doi.org/10.1016/j.enconman.2018.05.020
  22. Ebrahimi et al. (2016) Heat transfer and entropy generation in a microchannel with longitudinal vortex generators using nanofluids (pp. 190-201) https://doi.org/10.1016/j.energy.2016.01.102
  23. Tuckerman and Pease (1981) High-performance heat sinking for VLSI 2(5) (pp. 126-129) https://doi.org/10.1109/EDL.1981.25367
  24. Wang et al. (2011) Multi-parameters optimization for microchannel heat sink using inverse problem method (pp. 2811-2819) https://doi.org/10.1016/j.ijheatmasstransfer.2011.01.029
  25. Knight et al. (1992) Heat sink optimization with application to microchannels (pp. 832-842) https://doi.org/10.1109/33.180049
  26. Ambatipudi and Rahman (2000) Analysis of conjugate heat transfer in microchannel heat sinks (pp. 711-731) https://doi.org/10.1080/104077800274046
  27. Ryu et al. (2002) Numerical optimization of the thermal performance of a microchannel heat sink (pp. 2823-2827) https://doi.org/10.1016/S0017-9310(02)00006-6
  28. Kandlikar et al. (2005) Elsevier
  29. Li and Peterson (2007) 3-Dimensional numerical optimization of silicon-based high performance parallel microchannel heat sink with liquid flow (pp. 2895-2904) https://doi.org/10.1016/j.ijheatmasstransfer.2007.01.019
  30. Bello-Ochende et al. (2007) Constructal cooling channels for micro-channel heat sinks (pp. 4141-4150) https://doi.org/10.1016/j.ijheatmasstransfer.2007.02.019
  31. Kou et al. (2008) Optimum thermal performance of microchannel heat sink by adjusting channel width and height (pp. 577-582) https://doi.org/10.1016/j.icheatmasstransfer.2007.12.002
  32. Chein and Chen (2009) Numerical study of the inlet/outlet arrangement effect on microchannel heat sink performance (pp. 1627-1638) https://doi.org/10.1016/j.ijthermalsci.2008.12.019
  33. Chen et al. (2008) Optimum thermal design of microchannel heat sinks by the simulated annealing method (pp. 980-984) https://doi.org/10.1016/j.icheatmasstransfer.2008.04.006
  34. Wang et al. (2013) Inverse geometric optimization for geometry of nanofluid-cooled microchannel heat sink (pp. 87-94) https://doi.org/10.1016/j.applthermaleng.2013.03.010
  35. Wang et al. (2013) Optimal geometric structure for nanofluid-cooled microchannel heat sink under various constraint conditions (pp. 528-538) https://doi.org/10.1016/j.enconman.2012.08.018
  36. Xie et al. (2014) Computational fluid dynamics for thermal performance of a water-cooled minichannel heat sink with different chip arrangements (pp. 797-810) https://doi.org/10.1108/HFF-01-2013-0013
  37. Leng et al. (2016) Heat transfer enhancement of microchannel heat sink using transcritical carbon dioxide as the coolant (pp. 154-164) https://doi.org/10.1016/j.enconman.2015.12.006
  38. Chai et al. (2016) Numerical study of laminar flow and heat transfer in microchannel heat sink with offset ribs on sidewalls (pp. 32-41) https://doi.org/10.1016/j.applthermaleng.2015.09.071
  39. Chai et al. (2013) Optimum thermal design of interrupted microchannel heat sink with rectangular ribs in the transverse microchambers (pp. 880-989) https://doi.org/10.1016/j.applthermaleng.2012.10.037
  40. Hatami and Ganji (2014) Thermal and flow analysis of microchannel heat sink (MCHS) cooled by Cuwater nanofluid using porous media approach and least square method (pp. 347-358) https://doi.org/10.1016/j.enconman.2013.10.063
  41. Rahimi-Gorji et al. (2015) Statistical optimization of microchannel heat sink (MCHS) geometry cooled by different nanofluids using RSM analysis (pp. 1-22) https://doi.org/10.1140/epjp/i2015-15022-8
  42. Fakour et al. (2015) Analytical study of micropolar fluid flow and heat transfer in a channel with permeable walls (pp. 198-204) https://doi.org/10.1016/j.molliq.2015.01.040
  43. Peng and Peterson (1996) Forced convection heat transfer of single-phase binary mixtures through microchannels (pp. 98-104) https://doi.org/10.1016/0894-1777(95)00079-8
  44. Qu and Mudawar (2002) Experimental and numerical study of pressure drop and heat transfer in a singlephase micro-channel heat sink (pp. 2549-2565) https://doi.org/10.1016/S0017-9310(01)00337-4
  45. Tiselj et al. (2004) Effect of axial conduction on the heat transfer in micro-channels (pp. 2551-2565) https://doi.org/10.1016/j.ijheatmasstransfer.2004.01.008
  46. Lee et al. (2005) Investigation of heat transfer in rectangular microchannels (pp. 1688-1704) https://doi.org/10.1016/j.ijheatmasstransfer.2004.11.019
  47. Xia et al. (2008) Influence of surfactant on friction pressure drop in a manifold microchannel (pp. 1658-1664) https://doi.org/10.1016/j.ijthermalsci.2008.01.014
  48. Do Nascimento et al. (2013) An experimental study on flow boiling heat transfer of R134a in a microchannel-based heat sink (pp. 117-127) https://doi.org/10.1016/j.expthermflusci.2012.10.014
  49. Lu et al. (2017) A new scheme for reducing pressure drop and thermal resistance simultaneously in microchannel heat sinks with wavy porous fins (pp. 1071-1078) https://doi.org/10.1016/j.ijheatmasstransfer.2017.04.086
  50. Peles et al. (2005) Forced convective heat transfer across a pin fin micro heat sink 48(17) (pp. 3615-3627) https://doi.org/10.1016/j.ijheatmasstransfer.2005.03.017
  51. Xie et al. (2019) The influences of sidewall proximity on flow and thermal performance of a microchannel with large-row pin-fins (pp. 8-19) https://doi.org/10.1016/j.ijthermalsci.2019.02.031
  52. Lan et al. (2012) Flow and heat transfer in microchannels with dimples and protrusions https://doi.org/10.1115/1.4005096
  53. Hsiao et al. (2014) Fluid mixing in a microchannel with longitudinal vortex generators (pp. 27-36) https://doi.org/10.1016/j.cej.2013.09.010
  54. Deng et al. (2017) Flow boiling enhancement of structured microchannels with micro pin fins (pp. 338-349) https://doi.org/10.1016/j.ijheatmasstransfer.2016.09.086
  55. Gupta et al. (2021) Computational analysis of perforation effect on the thermo-hydraulic performance of micro pin-fin heat sink https://doi.org/10.1016/j.ijthermalsci.2021.106857
  56. Zheng et al. (2017) Numerical simulation and sensitivity analysis of heat transfer enhancement in a flat heat exchanger tube with discrete inclined ribs (pp. 509-520) https://doi.org/10.1016/j.ijheatmasstransfer.2017.05.019
  57. Salhi et al. (2022) Numerical investigations of the impact of a novel turbulator configuration on the performances enhancement of heat exchangers https://doi.org/10.1016/j.est.2021.103813
  58. Salhi et al. (2021) Analysis of the thermohydrodynamic behavior of a cooling system equipped with adjustable fins crossed by the turbulent flow of air in forced convection https://doi.org/10.1007/s40095-021-00446-5
  59. Salhi, J. E., Salhi, N.: Three-dimensional analysis of the effect of transverse spacing between perforations of a deflector in a heat exchanger. In: International Conference on Electronic Engineering and Renewable Energy, pp. 719–728 (2020)
  60. Corcione (2011) Empirical correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nanofluids 52(1) (pp. 789-793) https://doi.org/10.1016/j.enconman.2010.06.072
  61. Salhi et al. (2021) Numerical analysis of the properties of nanofluids and their impact on the thermohydrodynamic phenomenon in a heat exchanger (pp. 7559-7565)
  62. Salhi et al. (2022) Three-dimensional numerical analysis of the impact of the orientation of partially inclined baffles on the combined mass and heat transfer by a turbulent convective airflow https://doi.org/10.1007/s40095-022-00505-5
  63. Patankar (1980) Hemisphere Publishing Corporation