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Numerical Study of Heat Transfer in a Partitioned Cavity Containing a Porous Medium

Received: 25 January 2024    Accepted: 26 March 2024    Published: 17 April 2024
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Abstract

Cavities separated by multiple vertical partitions and filled with a porous medium present a remarkable thermal insulation quality, offering potential solutions in various engineering fields. The aim of this study is to analyze the impact of the presence of a porous medium on heat transfer through a partitioned cavity. We have developed a numerical model based on the Navier-Stokes and heat transfer equations, solved using Ansys Fluent software. We examine the evolution of the Nusselt number (convection and radiation) as a function of the position of the porous medium inside the cavity, as well as physical properties such as emissivity, wall conductivity and Rayleigh number. Current lines and isotherms are obtained from this numerical model. Nusselt numbers for both convection and radiation are calculated, taking into account the position of the porous medium in the system, as well as the effect of varying physical parameters on heat transfer. It has been observed that the presence of the porous medium leads to a reduction in the rate of heat transfer within the cavity. The further the porous medium is from the hot wall, the more pronounced this reduction. In addition, radiative transfer has a downward influence on convective transfer. Furthermore, the convective transfer rate decreases with increasing emissivity. As far as conductivity is concerned, transfer rates (convective and radiative) initially increase until a maximum Nusselt number is reached, after which they gradually decrease with a further increase in conductivity. Nusselt numbers (convection and radiation) increase as the Rayleigh number increases.

Published in Applied Engineering (Volume 8, Issue 1)
DOI 10.11648/j.ae.20240801.13
Page(s) 31-40
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Ansys Fluent, Convective, Porous, Transfer, Nusselt

References
[1] Nield, D. A. and Bejan, A. (2006) Convection in Porous Media. Journal of Applied.
[2] T. Grosan, C. Revnic, I. Pop and D. Ingham, Magnetic field and internal heat generation.
[3] F. Ouarhlent and A. Soudani Numerical study of the effect of permeability in a partially.
[4] J. Ordonez-Miranda, J. J. Alvarado-Gil Effect of pore shape on thermal conductivity of porous media) Journal of Materials Science volume 47, pages6733-6740 (2012).
[5] Belgacem Dhifaoui, Walid Foudhil, Sadok Ben Jabrallah, Ali Belghith. Study behavior of a porous medium traversed by an air flow and subjected to parietal heating. soumis `a chauffage parietal. Jean Jacques BEZIAN. JITH2007, Aug2007, Albis, France. hal-00161178, version 1 (29-08-2007).
[6] M. K. Alkam, M. A. Al-Nimr, M. O. Hamdan “Enhancing heat transfer in parallel-plate channels by using porous inserts” Journal of Heat and Mass Transfer 44 (2001) 931-938.
[7] C. Beckermann, S. Ramadhyani and R. Viskanta, Natural convection flow and Heat Transfer between a fluid layer and a porous layer inside a rectangular enclosure, Journal of Heat Transfer, vol. 109, pp. 363-370, 1987.
[8] M. Mbaye, E. Bilgen and P. Vasseur, Natural-convection heat transfer in an inclined porous layer boarded by a finite-thickness wall, Int. Journal. Heat and Fluid Flow, vol. 14, pp. 244-291, 1993.
[9] Choukairy, K., Bennacer, R. “Numerical and analytical analysis of the thermosolutal convection in an heterogeneous porous cavity”. FDMP-Fluid Dyn. Mater. Process. 8, 155- 172 (2012).
[10] Fajraoui, N., Fahs, M., Younes, A., Sudret, B. “Analyzing natural convection in porous enclosures with polynomial chaos expansions: effect of thermal dispersion, anisotropic permeability and heterogeneity”. Int. J. Heat Mass Transf. 115, 205-224 (2017).
[11] J. B. Edimilson and J. S., Marcelo de Lemos, Turbulent natural convection in a porous square cavity computed with a macroscopic K- ε model, International Journal of Heat and Mass Transfer, Vol. 47, pp. 5639-5650, 2004.
[12] M. Mobedi, Conjugate natural convection in a square cavity with finite thickness horizontal walls, Int. Communication in Heat and Mass Transfer, vol. 35, pp. 503-513, 2008.
[13] Zbynek Svoboda and Marek Kubr (2011) Numerical simulation of heat transfer through hollow bricks in the vertical direction. Journal of Building Physics 34: 325-350.
[14] Vincent Sambou, Berangere Lartigue, Francoise Monchoux and Mamadou Adj. Modeling of the thermal performance of air-filled partitioned enclosures: Effects of geometry and thermal properties. Journal of Building Physics; 2016, Vol. 39(4) 321-341.
[15] Vincent Sambou, Berangere Lartigue, Francoise Monchoux One-dimensional model of natural convection in differentially heated partitioned enclosures with conductive outer walls and vertical partitions. June 2009Journal of Thermal Science and Engineering Applications 1(2).
[16] Wang H, Xin S and Le Quere P (2006) Numerical study of the coupling of natural convection with surface radiation in an air-filled square cavity. Comptes Rendus Mécanique 334: 48-57.
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  • APA Style

    Faye, S., Diarra, S., Sokhna, S. M., Sambou, V. (2024). Numerical Study of Heat Transfer in a Partitioned Cavity Containing a Porous Medium . Applied Engineering, 8(1), 31-40. https://doi.org/10.11648/j.ae.20240801.13

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    ACS Style

    Faye, S.; Diarra, S.; Sokhna, S. M.; Sambou, V. Numerical Study of Heat Transfer in a Partitioned Cavity Containing a Porous Medium . Appl. Eng. 2024, 8(1), 31-40. doi: 10.11648/j.ae.20240801.13

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    AMA Style

    Faye S, Diarra S, Sokhna SM, Sambou V. Numerical Study of Heat Transfer in a Partitioned Cavity Containing a Porous Medium . Appl Eng. 2024;8(1):31-40. doi: 10.11648/j.ae.20240801.13

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  • @article{10.11648/j.ae.20240801.13,
      author = {Souleye Faye and Sory Diarra and Sidy Mactar Sokhna and Vincent Sambou},
      title = {Numerical Study of Heat Transfer in a Partitioned Cavity Containing a Porous Medium
    },
      journal = {Applied Engineering},
      volume = {8},
      number = {1},
      pages = {31-40},
      doi = {10.11648/j.ae.20240801.13},
      url = {https://doi.org/10.11648/j.ae.20240801.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ae.20240801.13},
      abstract = {Cavities separated by multiple vertical partitions and filled with a porous medium present a remarkable thermal insulation quality, offering potential solutions in various engineering fields. The aim of this study is to analyze the impact of the presence of a porous medium on heat transfer through a partitioned cavity. We have developed a numerical model based on the Navier-Stokes and heat transfer equations, solved using Ansys Fluent software. We examine the evolution of the Nusselt number (convection and radiation) as a function of the position of the porous medium inside the cavity, as well as physical properties such as emissivity, wall conductivity and Rayleigh number. Current lines and isotherms are obtained from this numerical model. Nusselt numbers for both convection and radiation are calculated, taking into account the position of the porous medium in the system, as well as the effect of varying physical parameters on heat transfer. It has been observed that the presence of the porous medium leads to a reduction in the rate of heat transfer within the cavity. The further the porous medium is from the hot wall, the more pronounced this reduction. In addition, radiative transfer has a downward influence on convective transfer. Furthermore, the convective transfer rate decreases with increasing emissivity. As far as conductivity is concerned, transfer rates (convective and radiative) initially increase until a maximum Nusselt number is reached, after which they gradually decrease with a further increase in conductivity. Nusselt numbers (convection and radiation) increase as the Rayleigh number increases.
    },
     year = {2024}
    }
    

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  • TY  - JOUR
    T1  - Numerical Study of Heat Transfer in a Partitioned Cavity Containing a Porous Medium
    
    AU  - Souleye Faye
    AU  - Sory Diarra
    AU  - Sidy Mactar Sokhna
    AU  - Vincent Sambou
    Y1  - 2024/04/17
    PY  - 2024
    N1  - https://doi.org/10.11648/j.ae.20240801.13
    DO  - 10.11648/j.ae.20240801.13
    T2  - Applied Engineering
    JF  - Applied Engineering
    JO  - Applied Engineering
    SP  - 31
    EP  - 40
    PB  - Science Publishing Group
    SN  - 2994-7456
    UR  - https://doi.org/10.11648/j.ae.20240801.13
    AB  - Cavities separated by multiple vertical partitions and filled with a porous medium present a remarkable thermal insulation quality, offering potential solutions in various engineering fields. The aim of this study is to analyze the impact of the presence of a porous medium on heat transfer through a partitioned cavity. We have developed a numerical model based on the Navier-Stokes and heat transfer equations, solved using Ansys Fluent software. We examine the evolution of the Nusselt number (convection and radiation) as a function of the position of the porous medium inside the cavity, as well as physical properties such as emissivity, wall conductivity and Rayleigh number. Current lines and isotherms are obtained from this numerical model. Nusselt numbers for both convection and radiation are calculated, taking into account the position of the porous medium in the system, as well as the effect of varying physical parameters on heat transfer. It has been observed that the presence of the porous medium leads to a reduction in the rate of heat transfer within the cavity. The further the porous medium is from the hot wall, the more pronounced this reduction. In addition, radiative transfer has a downward influence on convective transfer. Furthermore, the convective transfer rate decreases with increasing emissivity. As far as conductivity is concerned, transfer rates (convective and radiative) initially increase until a maximum Nusselt number is reached, after which they gradually decrease with a further increase in conductivity. Nusselt numbers (convection and radiation) increase as the Rayleigh number increases.
    
    VL  - 8
    IS  - 1
    ER  - 

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Author Information
  • Laboratories, Water, Energy, Environmental, and Industrial Process, Polytechnic School of Dakar, Dakar, Senegal

  • Laboratories, Water, Energy, Environmental, and Industrial Process, Polytechnic School of Dakar, Dakar, Senegal

  • Laboratories, Water, Energy, Environmental, and Industrial Process, Polytechnic School of Dakar, Dakar, Senegal

  • Laboratories, Water, Energy, Environmental, and Industrial Process, Polytechnic School of Dakar, Dakar, Senegal

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