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Heat and Mass Transfer

, Volume 55, Issue 8, pp 2289–2304 | Cite as

Analysis of natural convection in heat sink using OpenFOAM and experimental tests

  • Vilson Altair da Silva
  • Lorenzo Alfonso Caliari de Neves Gomes
  • Ana Lúcia Fernandes de Lima e Silva
  • Sandro Metrevelle Marcondes de Lima e SilvaEmail author
Original
  • 208 Downloads

Abstract

A transient three-dimensional natural convection problem in heat sinks with rectangular fins positioned horizontally was studied using the software OpenFOAM (Open Field Operation and Manipulation). OpenFOAM is based on the Finite Volume Method for the discretization of the governing equations and was used to solve the three-dimensional equations of continuity, momentum and energy. These computational simulations were done with the PIMPLE solution algorithm for decoupling the equations. The NusseltCalc tool was used in the post-processing to obtain Nusselt number. The results of Nusselt number, temperature, velocity and vorticity fields were obtained. The temperature results were also obtained by numerical probes and compared with experimental and analytical results; presenting differences lower than 0.7%. The results of the average Nusselt number, \( \overline{Nu} \), and the average heat transfer coefficient by convection, \( \overline{h} \), numerically obtained with OpenFOAM were compared with the experimental and with those obtained from empirical correlation. All these results obtained with OpenFOAM presented good accordance with experiments and literature with differences lower than 10%. Uncertainty analyses were also carried out in order to prove the quality of the results and they presented differences lower than 5%. In addition, a Nusselt number correlation is proposed for Rayleight number in the range of 4.6 × 104 < Ra < 5.8 × 105.

Notes

Acknowledgements

The authors would like to thank CNPq, CAPES and FAPEMIG for their financial support.

Compliance with ethical standards

Conflicts of interest

The authors declare no conflict of interest. The founding sponsors had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, and in the decision to publish the results.

References

  1. 1.
    Harahap F, McManus HN Jr (1967) Natural convection heat transfer from horizontal rectangular fin arrays. ASME J Heat Transfer 89(1):32–88.  https://doi.org/10.1115/1.3614318 CrossRefGoogle Scholar
  2. 2.
    Starner KE, McManus HN Jr (1963) An experimental investigation of free convection heat transfer from rectangular fin arrays. ASME J Heat Transfer 85(3):273–278.  https://doi.org/10.1115/1.3686097 CrossRefGoogle Scholar
  3. 3.
    Jones CD, Smith LF (1970) Optimum arrangement of rectangular fins on horizontal surfaces for free convection heat transfer. ASME J Heat Transfer 98(1):6–10.  https://doi.org/10.1115/1.3449648 CrossRefGoogle Scholar
  4. 4.
    Elenbaas W (1942) Heat dissipation from parallel plates by free convection. Physica 9(1):1–28.  https://doi.org/10.1016/S0031-8914(42)90053-3 zbMATHCrossRefGoogle Scholar
  5. 5.
    Leung CW, Probert SD, Shilton MJ (1985) Heat exchanger design: Thermal performances of rectangular fin protruding from vertical or horizontal rectangular bases. Appl Energy 20(2):123–140.  https://doi.org/10.1016/0306-2619(85)90029-7 CrossRefGoogle Scholar
  6. 6.
    Leung CW, Probert SD, Shilton MJ (1986) Heat transfer of vertical rectangular bases: Effect of fin length. Appl Energy 22(4):313–318.  https://doi.org/10.1016/0306-2619(86)90040-1 CrossRefGoogle Scholar
  7. 7.
    Leung CW, Probert SD (1988) Heat exchanger design: Optimal thickness (under natural convective conditions) of vertical rectangular fins protruding upwards from a horizontal rectangular base. Appl Energy 29(4):299–306.  https://doi.org/10.1016/0306-2619(88)90040-2 CrossRefGoogle Scholar
  8. 8.
    Leung CW, Probert SD (1988) Heat exchanger design: Optimal length of an array of uniformly-spaced vertical rectangular fins protruding upwards from a horizontal base. Appl Energy 30(1):29–35.  https://doi.org/10.1016/0306-2619(88)90052-9 CrossRefGoogle Scholar
  9. 9.
    Leung CW, Probert SD (1989) Heat exchanger performance: Effect of orientation. Appl Energy 33(4):235–252.  https://doi.org/10.1016/0306-2619(89)90057-3 CrossRefGoogle Scholar
  10. 10.
    Leung CW, Probert SD (1989) Thermal effectiveness of shortprotrusion rectangular heat exchanger fins. Appl Energy 34(1):1–8.  https://doi.org/10.1016/0306-2619(89)90050-0 CrossRefGoogle Scholar
  11. 11.
    Sobhan CB, Venkateshan SP, Seetharamu KN (1990) Experimental studies on steady free convection heat transfer from fins and fin arrays. Wärme – und Stoffübertragung. Springer-Verlag 25(4):345–352.  https://doi.org/10.1007/BF01811558 CrossRefGoogle Scholar
  12. 12.
    Rao VR, Venkateshan SP (1996) Experimental study of free convection and radiation in horizontal fin arrays. Int J Heat Mass Transf 39(4):779–789.  https://doi.org/10.1016/0017-9310(95)00158-1 CrossRefGoogle Scholar
  13. 13.
    Harahap F, Setio D (2001) Correlations for heat dissipation and natural convection heat-transfer from horizontally-based. vertically-finned arrays. Appl Energy 69(1):29–38.  https://doi.org/10.1016/S0306-2619(00)00073-8 CrossRefGoogle Scholar
  14. 14.
    Tari I, Mehrtash M (2013) Natural convection heat transfer from inclined plate-fin heat sinks. Int J Heat Mass Transf 56(1–2):574–593.  https://doi.org/10.1016/j.ijheatmasstransfer.2012.08.050 CrossRefGoogle Scholar
  15. 15.
    Kim TH, Kim DK, Do KH (2013) Correlation for the fin Nusselt number of natural convective heat sinks with vertically oriented plate-fins. Heat Mass Transf 49(3):413–425.  https://doi.org/10.1007/s00231-012-1100-0 CrossRefGoogle Scholar
  16. 16.
    Shen Q, Sun D, Xu Y, Jin T, Zhao X (2014) Orientation effects on natural convection heat dissipation of rectangular fin heat sinks mounted on LEDs. Heat Mass Transf 75:462–469.  https://doi.org/10.1016/j.ijheatmasstransfer.2014.03.085 CrossRefGoogle Scholar
  17. 17.
    KS O, Tan CF, Lai KC, Tan KH (2017) Heat spreading and heat transfer coefficient with fin heat sink. Appl Therm Eng 112:1638–1647.  https://doi.org/10.1016/j.applthermaleng.2016.09.161 CrossRefGoogle Scholar
  18. 18.
    Al-Athel KS (2017) A computational methodology for assessing the thermal behavior of metal foam heat sinks. Appl Therm Eng 111:884–893.  https://doi.org/10.1016/j.applthermaleng.2016.10.014 CrossRefGoogle Scholar
  19. 19.
    Harahap F, Rudianto E (2005) Measurements of steady-state heat dissipation from miniaturized horizontally based straight rectangular fin arrays. Heat Mass Transf 41(3):280–288.  https://doi.org/10.1007/s00231-004-0506-8 CrossRefGoogle Scholar
  20. 20.
    Magnusson J (2010) Conjugate HeatFoam with explanational tutorial together with a buoyancy driven flow tutorial and a convective conductive tutorial. Magnusson’s Technology Center, Chalmers University of Technology, GothenburgGoogle Scholar
  21. 21.
    Anselmo BCS (2016) Análise dos parâmetros geométricos e estatística usando Minitab no estudo da convecção natural em dissipadores (In Portuguese). Master dissertation. Universidade Federal de Itajubá (UNIFEI), ItajubáGoogle Scholar
  22. 22.
    Carollo LFS, Lima e Silva ALF, Lima e Silva SMM (2012) Applying different heat flux intensities to simultaneously estimate the thermal properties of metallic materials. Meas Sci Technol 23:01–11.  https://doi.org/10.1088/0957-0233/23/6/065601 CrossRefGoogle Scholar
  23. 23.
    LAB Fit Curve Fitting Software (Nonlinear Regression Program). Available online: http://zeus.df.ufcg.edu.br/labfit/ (accessed on 18/09/2017)

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Vilson Altair da Silva
    • 1
  • Lorenzo Alfonso Caliari de Neves Gomes
    • 1
  • Ana Lúcia Fernandes de Lima e Silva
    • 1
  • Sandro Metrevelle Marcondes de Lima e Silva
    • 1
    Email author
  1. 1.Heat Transfer Laboratory – LabTC, Institute of Mechanical Engineering – IEMFederal University of Itajubá – UNIFEIItajubáBrazil

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