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Volume 13
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Article

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

by
Juan Serrano-Arellano
1,
Juan M. Belman-Flores
2,*,
Jesús Xamán
3,
Karla M. Aguilar-Castro
4 and
Edgar V. Macías-Melo
4
1
Instituto Tecnológico Superior de Huichapan, ITESHU-TecNM, Huichapan, Hidalgo 42411, Mexico
2
Engineering Division, Campus Irapuato-Salamanca, University of Guanajuato, Salamanca 36885, Mexico
3
Centro Nacional de Investigación y Desarrollo Tecnológico, CENIDET-TecNM, Cuernavaca 62490, Mexico
4
División Académica de Ingeniería y Arquitectura, Universidad Juárez Autónoma de Tabasco, Cunduacán 86690, Mexico
*
Author to whom correspondence should be addressed.
Energies 2020, 13(12), 3085; https://doi.org/10.3390/en13123085
Submission received: 27 April 2020 / Revised: 9 June 2020 / Accepted: 12 June 2020 / Published: 15 June 2020
(This article belongs to the Special Issue Applied Thermodynamics and Heat Transfer for Buildings)
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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 .
Keywords: numerical simulation; heat and mass transfer; point sources; turbulent flow numerical simulation; heat and mass transfer; point sources; turbulent flow

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MDPI and ACS Style

Serrano-Arellano, J.; M. Belman-Flores, J.; Xamán, J.; M. Aguilar-Castro, K.; V. Macías-Melo, E. Numerical Study of the Double Diffusion Natural Convection inside a Closed Cavity with Heat and Pollutant Sources Placed near the Bottom Wall. Energies 2020, 13, 3085. https://doi.org/10.3390/en13123085

AMA Style

Serrano-Arellano J, M. Belman-Flores J, Xamán J, M. Aguilar-Castro K, V. Macías-Melo E. Numerical Study of the Double Diffusion Natural Convection inside a Closed Cavity with Heat and Pollutant Sources Placed near the Bottom Wall. Energies. 2020; 13(12):3085. https://doi.org/10.3390/en13123085

Chicago/Turabian Style

Serrano-Arellano, Juan, Juan M. Belman-Flores, Jesús Xamán, Karla M. Aguilar-Castro, and 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 13, no. 12: 3085. https://doi.org/10.3390/en13123085

APA Style

Serrano-Arellano, J., M. Belman-Flores, J., Xamán, J., M. Aguilar-Castro, K., & V. Macías-Melo, E. (2020). Numerical Study of the Double Diffusion Natural Convection inside a Closed Cavity with Heat and Pollutant Sources Placed near the Bottom Wall. Energies, 13(12), 3085. https://doi.org/10.3390/en13123085

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