IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v13y2020i12p3085-d371736.html
   My bibliography  Save this article

Numerical Study of the Double Diffusion Natural Convection inside a Closed Cavity with Heat and Pollutant Sources Placed near the Bottom Wall

Author

Listed:
  • Juan Serrano-Arellano

    (Instituto Tecnológico Superior de Huichapan, ITESHU-TecNM, Huichapan, Hidalgo 42411, Mexico)

  • Juan M. Belman-Flores

    (Engineering Division, Campus Irapuato-Salamanca, University of Guanajuato, Salamanca 36885, Mexico)

  • Jesús Xamán

    (Centro Nacional de Investigación y Desarrollo Tecnológico, CENIDET-TecNM, Cuernavaca 62490, Mexico)

  • Karla M. Aguilar-Castro

    (División Académica de Ingeniería y Arquitectura, Universidad Juárez Autónoma de Tabasco, Cunduacán 86690, Mexico)

  • Edgar V. Macías-Melo

    (División Académica de Ingeniería y Arquitectura, Universidad Juárez Autónoma de Tabasco, Cunduacán 86690, Mexico)

Abstract

A study was conducted on the double diffusion by natural convection because of the effects of heat and pollutant sources placed at one third of the closed cavity’s height. The heat and pollution sources were analyzed separately and simultaneously. The study was considered for the Rayleigh number interval 10 4 ≤ R a ≤ 10 10 . Three case studies were analyzed: (1) differentially heated closed cavity with only heat sources; (2) differentially heated closed cavity with only pollutant sources; and (3) differentially heated closed cavity with heat and pollutant sources. The governing equations of the system were solved through the finite volume technique. The turbulence solution was done with the k-ε model. The dominant influence of the buoyancy forces was found due to the pollutant diffusion on the flow pattern, and an internal temperature increase was observed with the simple diffusion. The most critical case was obtained through the double diffusive convection with an average temperature value of 32.57 °C. Finally, the Nusselt number increased as the Rayleigh number increased; however, the Sherwood number either increased or decreased when the Rayleigh number increased. The highest mean concentration recorded was 2808 ppm; this was found with the value R a = 10 6 .

Suggested Citation

  • Juan Serrano-Arellano & Juan M. Belman-Flores & Jesús Xamán & Karla M. Aguilar-Castro & Edgar V. Macías-Melo, 2020. "Numerical Study of the Double Diffusion Natural Convection inside a Closed Cavity with Heat and Pollutant Sources Placed near the Bottom Wall," Energies, MDPI, vol. 13(12), pages 1-17, June.
  • Handle: RePEc:gam:jeners:v:13:y:2020:i:12:p:3085-:d:371736
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/13/12/3085/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/13/12/3085/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Chen, Sheng & Du, Rui, 2011. "Entropy generation of turbulent double-diffusive natural convection in a rectangle cavity," Energy, Elsevier, vol. 36(3), pages 1721-1734.
    2. Miroshnichenko, Igor V. & Sheremet, Mikhail A., 2018. "Radiation effect on conjugate turbulent natural convection in a cavity with a discrete heater," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 358-371.
    3. Kefayati, GH.R., 2019. "Lattice Boltzmann method for natural convection of a Bingham fluid in a porous cavity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 146-172.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mahian, Omid & Mahmud, Shohel & Heris, Saeed Zeinali, 2012. "Analysis of entropy generation between co-rotating cylinders using nanofluids," Energy, Elsevier, vol. 44(1), pages 438-446.
    2. Ma, Yuan & Mohebbi, Rasul & Rashidi, M.M. & Yang, Zhigang & Sheremet, Mikhail, 2020. "Nanoliquid thermal convection in I-shaped multiple-pipe heat exchanger under magnetic field influence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    3. Mamourian, Mojtaba & Milani Shirvan, Kamel & Mirzakhanlari, Soroush, 2016. "Two phase simulation and sensitivity analysis of effective parameters on turbulent combined heat transfer and pressure drop in a solar heat exchanger filled with nanofluid by Response Surface Methodol," Energy, Elsevier, vol. 109(C), pages 49-61.
    4. Biswal, Pratibha & Basak, Tanmay, 2017. "Entropy generation vs energy efficiency for natural convection based energy flow in enclosures and various applications: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 1412-1457.
    5. Ibáñez, Guillermo & López, Aracely & Pantoja, Joel & Moreira, Joel & Reyes, Juan A., 2013. "Optimum slip flow based on the minimization of entropy generation in parallel plate microchannels," Energy, Elsevier, vol. 50(C), pages 143-149.
    6. Basak, Tanmay & Anandalakshmi, R. & Kumar, Pushpendra & Roy, S., 2012. "Entropy generation vs energy flow due to natural convection in a trapezoidal cavity with isothermal and non-isothermal hot bottom wall," Energy, Elsevier, vol. 37(1), pages 514-532.
    7. Siddabasappa, C. & Sakshath, T.N., 2021. "Effect of thermal non-equilibrium and internal heat source on Brinkman–Bénard convection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    8. Zhou, Liqun & Wang, Yiping & Huang, Qunwu, 2019. "CFD investigation of a new flat plate collector with additional front side transparent insulation for use in cold regions," Renewable Energy, Elsevier, vol. 138(C), pages 754-763.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:13:y:2020:i:12:p:3085-:d:371736. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.