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NUMERICAL SIMULATION OF NATURAL CONVECTION MELTING IN 2D AND 3D ENCLOSURES

Year 2019, Volume: 5 Issue: 1, 51 - 61, 03.10.2018
https://doi.org/10.18186/thermal.513015

Abstract

Natural convection melting in 2D and 3D enclosures with a local
heater is studied numerically. The present research is related to a development
of effective cooling system for the electronic devices using the phase change
material that is essentially important nowadays. The domain of interest
includes vertical cold walls, adiabatic horizontal walls and a discrete heater
of constant high temperature located on the bottom adiabatic wall. The cavity
is filled with a phase change material (PCM) in solid state at the beginning of
the process. During the heating from the heat source PCM is melting. Numerical
solution of the present problem has been conducted using the dimensionless
transformed variables such as stream function and vorticity for 2D cavity and
vector potential functions and vorticity vector for 3D cavity with appropriate
initial and boundary conditions. The developed numerical technique has been
verified comprehensively. Obtained results have shown a potential of the used
methods for 2D and 3D problems. It has been found that, melting process is more
intensive in 3D case and the heat transfer rate at the heater is greater for 2D
in comparison with 3D data.

References

  • [1] Raoux, S., Wuttig, M. (2009). Phase change materials: Science and Applications. Berlin: Springer.
  • [2] Fan, L. W., Xiao, Y. Q., Zeng, Y., Fang, X., Wang, X., Xu, X., ... & Cen, K. F. (2013). Effects of melting temperature and the presence of internal fins on the performance of a phase change material (PCM)-based heat sink. International Journal of Thermal Sciences, 70, 114-126.
  • [3] Gharbi, S., Harmand, S., Jabrallah, S. B. (2015). Experimental comparison between different configurations of PCM based heat sinks for cooling electronic components. Applied Thermal Engineering, 87, 454-462.
  • [4] Sharifi, N., Bergman, T. L., Faghri, A. (2011). Enhancement of PCM melting in enclosures with horizontally-finned internal surfaces. International journal of heat and mass transfer, 54(19-20), 4182-4192.
  • [5] Gharbi, S., Harmand, S., Jabrallah, S. B. (2017). Experimental study of the cooling performance of phase change material with discrete heat sources – Continuous and intermittent regimes, Applied Thermal Engineering, 111, 103–111.
  • [6] Numerical investigation on the natural convection effects in the melting process of PCM in a finned container using lattice Boltzmann method
  • [7] Prieto, M. M., Suarez, I., Gonzalez, B. (2017). Analysis of the thermal performance of flat plate PCM heat exchangers for heating systems, Applied Thermal Engineering, 116, 11–23.
  • [8] Madruga, S., Mendoza, C. (2017). Heat transfer performance and melting dynamic of a phase change material subjected to thermocapillary effects. International Journal of Heat and Mass Transfer, 109, 501-510.
  • [9] Wang, Z., Zhang, H., Xia, X. (2017). Experimental investigation on the thermal behavior of cylindrical battery with composite paraffin and fin structure, International Journal of Heat Mass Transfer, 109, 958–970.
  • [10] Ren, Q., Chan, C. L. (2016). GPU accelerated numerical study of PCM melting process in an enclosure with internal fins using lattice Boltzmann method, International Journal of Heat Mass Transfer, 100, 522–535.
  • [11] Wang, P., Yao, H., Lan, Z., Peng, Z., Huang, Y., Ding, Y. (2016). Numerical investigation of PCM melting process in sleeve tube with internal fins, Energy Conversion and Management, 110, 428–435.
  • [12] Tabassum, T., Hasan, M., Begum, L. (2017). 2-D numerical investigation of melting of an impure PCM in the arbitrary-shaped annuli. International Journal of Thermal Sciences, 114, 296-319.
  • [13] Korti, A. I. N. (2016). Numerical simulation on the effect of latent heat thermal energy storage unit, Journal of Thermal Engineering, 2, 598–606.
  • [14] Kladisios, P., Stegou-Sagia, A. (2016).Using phase change materials in photovoltaic systems for cell temperature reduction: A finite difference simulation approach, Journal of Thermal Engineering, 2(4), 897–906.
  • [15] Yang, X. H., Tan, S. C., Ding, Y. J., Wang, L., Liu, J., Zhou, Y. X. (2017). Experimental and numerical investigation of low melting point metal based PCM heat sink with internal fins. International Communications in Heat and Mass Transfer, 87, 118-124.
  • [16] Bondareva, N. S., Sheremet, M. A. (2016). Mathematical simulation of melting inside a square cavity with a local heat source, Thermophysics and Aeromechanics, 23, 553–565.
  • [17] Bondareva, N. S., Sheremet, M. A. (2016). Effect of inclined magnetic field on natural convection melting in a square cavity with a local heat source. Journal of Magnetism and Magnetic Materials, 419, 476-484.
  • [18] Bondareva, N. S., Sheremet, M. A. (2017). 3D natural convection melting in a cubical cavity with a heat source. International Journal of Thermal Sciences, 115, 43-53.
  • [19] Bondareva, N. S., Sheremet, M. A. (2017). Natural convection heat transfer combined with melting process in a cubical cavity under the effects of uniform inclined magnetic field and local heat source. International Journal of Heat and Mass Transfer, 108, 1057-1067.
  • [20] Martyushev, S. G., Sheremet, M. A. (2014). Conjugate natural convection combined with surface thermal radiation in a three-dimensional enclosure with a heat source. International Journal of Heat and Mass Transfer, 73, 340-353.
  • [21] Shenoy, A., Sheremet, M., Pop, I. (2016). Convective flow and heat transfer from wavy surfaces: viscous fluids, porous media and nanofluids. Boca Raton: CRC Press.
  • [22] Öztop, H., Selimefendigil, F., Abu-Nada, E., Al-Salem, K. (2016). Recent developments of computational methods on natural convection in curvilinear shaped enclosures, Journal of Thermal Engineering, 2(2), 693–698.
  • [23] Gau, C., Viskanta, R. (1986). Melting and solidification of a pure metal on a vertical wall. Journal of Heat Transfer, 108(1), 174-181.
Year 2019, Volume: 5 Issue: 1, 51 - 61, 03.10.2018
https://doi.org/10.18186/thermal.513015

Abstract

References

  • [1] Raoux, S., Wuttig, M. (2009). Phase change materials: Science and Applications. Berlin: Springer.
  • [2] Fan, L. W., Xiao, Y. Q., Zeng, Y., Fang, X., Wang, X., Xu, X., ... & Cen, K. F. (2013). Effects of melting temperature and the presence of internal fins on the performance of a phase change material (PCM)-based heat sink. International Journal of Thermal Sciences, 70, 114-126.
  • [3] Gharbi, S., Harmand, S., Jabrallah, S. B. (2015). Experimental comparison between different configurations of PCM based heat sinks for cooling electronic components. Applied Thermal Engineering, 87, 454-462.
  • [4] Sharifi, N., Bergman, T. L., Faghri, A. (2011). Enhancement of PCM melting in enclosures with horizontally-finned internal surfaces. International journal of heat and mass transfer, 54(19-20), 4182-4192.
  • [5] Gharbi, S., Harmand, S., Jabrallah, S. B. (2017). Experimental study of the cooling performance of phase change material with discrete heat sources – Continuous and intermittent regimes, Applied Thermal Engineering, 111, 103–111.
  • [6] Numerical investigation on the natural convection effects in the melting process of PCM in a finned container using lattice Boltzmann method
  • [7] Prieto, M. M., Suarez, I., Gonzalez, B. (2017). Analysis of the thermal performance of flat plate PCM heat exchangers for heating systems, Applied Thermal Engineering, 116, 11–23.
  • [8] Madruga, S., Mendoza, C. (2017). Heat transfer performance and melting dynamic of a phase change material subjected to thermocapillary effects. International Journal of Heat and Mass Transfer, 109, 501-510.
  • [9] Wang, Z., Zhang, H., Xia, X. (2017). Experimental investigation on the thermal behavior of cylindrical battery with composite paraffin and fin structure, International Journal of Heat Mass Transfer, 109, 958–970.
  • [10] Ren, Q., Chan, C. L. (2016). GPU accelerated numerical study of PCM melting process in an enclosure with internal fins using lattice Boltzmann method, International Journal of Heat Mass Transfer, 100, 522–535.
  • [11] Wang, P., Yao, H., Lan, Z., Peng, Z., Huang, Y., Ding, Y. (2016). Numerical investigation of PCM melting process in sleeve tube with internal fins, Energy Conversion and Management, 110, 428–435.
  • [12] Tabassum, T., Hasan, M., Begum, L. (2017). 2-D numerical investigation of melting of an impure PCM in the arbitrary-shaped annuli. International Journal of Thermal Sciences, 114, 296-319.
  • [13] Korti, A. I. N. (2016). Numerical simulation on the effect of latent heat thermal energy storage unit, Journal of Thermal Engineering, 2, 598–606.
  • [14] Kladisios, P., Stegou-Sagia, A. (2016).Using phase change materials in photovoltaic systems for cell temperature reduction: A finite difference simulation approach, Journal of Thermal Engineering, 2(4), 897–906.
  • [15] Yang, X. H., Tan, S. C., Ding, Y. J., Wang, L., Liu, J., Zhou, Y. X. (2017). Experimental and numerical investigation of low melting point metal based PCM heat sink with internal fins. International Communications in Heat and Mass Transfer, 87, 118-124.
  • [16] Bondareva, N. S., Sheremet, M. A. (2016). Mathematical simulation of melting inside a square cavity with a local heat source, Thermophysics and Aeromechanics, 23, 553–565.
  • [17] Bondareva, N. S., Sheremet, M. A. (2016). Effect of inclined magnetic field on natural convection melting in a square cavity with a local heat source. Journal of Magnetism and Magnetic Materials, 419, 476-484.
  • [18] Bondareva, N. S., Sheremet, M. A. (2017). 3D natural convection melting in a cubical cavity with a heat source. International Journal of Thermal Sciences, 115, 43-53.
  • [19] Bondareva, N. S., Sheremet, M. A. (2017). Natural convection heat transfer combined with melting process in a cubical cavity under the effects of uniform inclined magnetic field and local heat source. International Journal of Heat and Mass Transfer, 108, 1057-1067.
  • [20] Martyushev, S. G., Sheremet, M. A. (2014). Conjugate natural convection combined with surface thermal radiation in a three-dimensional enclosure with a heat source. International Journal of Heat and Mass Transfer, 73, 340-353.
  • [21] Shenoy, A., Sheremet, M., Pop, I. (2016). Convective flow and heat transfer from wavy surfaces: viscous fluids, porous media and nanofluids. Boca Raton: CRC Press.
  • [22] Öztop, H., Selimefendigil, F., Abu-Nada, E., Al-Salem, K. (2016). Recent developments of computational methods on natural convection in curvilinear shaped enclosures, Journal of Thermal Engineering, 2(2), 693–698.
  • [23] Gau, C., Viskanta, R. (1986). Melting and solidification of a pure metal on a vertical wall. Journal of Heat Transfer, 108(1), 174-181.
There are 23 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Nadezhda Bondareva Bondareva This is me

Publication Date October 3, 2018
Submission Date May 30, 2017
Published in Issue Year 2019 Volume: 5 Issue: 1

Cite

APA Bondareva, N. B. (2018). NUMERICAL SIMULATION OF NATURAL CONVECTION MELTING IN 2D AND 3D ENCLOSURES. Journal of Thermal Engineering, 5(1), 51-61. https://doi.org/10.18186/thermal.513015
AMA Bondareva NB. NUMERICAL SIMULATION OF NATURAL CONVECTION MELTING IN 2D AND 3D ENCLOSURES. Journal of Thermal Engineering. October 2018;5(1):51-61. doi:10.18186/thermal.513015
Chicago Bondareva, Nadezhda Bondareva. “NUMERICAL SIMULATION OF NATURAL CONVECTION MELTING IN 2D AND 3D ENCLOSURES”. Journal of Thermal Engineering 5, no. 1 (October 2018): 51-61. https://doi.org/10.18186/thermal.513015.
EndNote Bondareva NB (October 1, 2018) NUMERICAL SIMULATION OF NATURAL CONVECTION MELTING IN 2D AND 3D ENCLOSURES. Journal of Thermal Engineering 5 1 51–61.
IEEE N. B. Bondareva, “NUMERICAL SIMULATION OF NATURAL CONVECTION MELTING IN 2D AND 3D ENCLOSURES”, Journal of Thermal Engineering, vol. 5, no. 1, pp. 51–61, 2018, doi: 10.18186/thermal.513015.
ISNAD Bondareva, Nadezhda Bondareva. “NUMERICAL SIMULATION OF NATURAL CONVECTION MELTING IN 2D AND 3D ENCLOSURES”. Journal of Thermal Engineering 5/1 (October 2018), 51-61. https://doi.org/10.18186/thermal.513015.
JAMA Bondareva NB. NUMERICAL SIMULATION OF NATURAL CONVECTION MELTING IN 2D AND 3D ENCLOSURES. Journal of Thermal Engineering. 2018;5:51–61.
MLA Bondareva, Nadezhda Bondareva. “NUMERICAL SIMULATION OF NATURAL CONVECTION MELTING IN 2D AND 3D ENCLOSURES”. Journal of Thermal Engineering, vol. 5, no. 1, 2018, pp. 51-61, doi:10.18186/thermal.513015.
Vancouver Bondareva NB. NUMERICAL SIMULATION OF NATURAL CONVECTION MELTING IN 2D AND 3D ENCLOSURES. Journal of Thermal Engineering. 2018;5(1):51-6.

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