Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source

Koueni-Toko Christian Anicet

doi:doi:10.11648/j.ijfmts.20220803.12

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Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source

Koueni-Toko Christian Anicet

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 8, Issue 3)

Received: 19 July 2022 Accepted: 4 August 2022 Published: 10 August 2022

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Abstract

The objective of this work is to numerically study the temperature fields and to model the differential static pressure in a semi-ventilated enclosure heated by a linear heat source. The semi-ventilated enclosure has a height of 520 mm, a width of 210 mm and a length of 210 mm and has two openings located in the ceiling of the enclosure on the two side walls located at positions x + = - 0.5 and 0.5. The openings have a height of 34 mm and a length of 210 mm. The linear heat source has a diameter of 20 mm and a length of 200 mm and is placed in the position x + = 0 and 2 mm from the floor. Numerical calculations of thermal fields and differential static pressure were performed using the DNS method. The simulation technique is based on the finite volume method. The study was carried out in steady state. The discretization of the equations was carried out based on the QUICK scheme. This discretization gives a system of algebraic equations whose solution makes it possible to determine the fields of temperature and differential static pressure. The SIMPLE algorithm was used for pressure correction on a non-uniform mesh. The “Weighted Body Strength” scheme for pressure resolution. The results obtained show that the thermal plume slopes towards the right wall of the enclosure, reaches the ceiling where it is destroyed by shearing. Hot gases exit the enclosure at the top of the openings and cool air enters the enclosure from the bottom. The values of the differential static pressure at the openings are positive at the top where the hot gases exit and negative at the bottom where the fresh air enters the enclosure. Cool air descends to the bottom of the enclosure near the side walls and mixes with the warm air in the enclosure. The movements of air in the enclosure are governed by the thermal plume. The comparison of the differential static pressure obtained by numerical calculations with those of the experiments agrees.

Published in	International Journal of Fluid Mechanics & Thermal Sciences (Volume 8, Issue 3)
DOI	10.11648/j.ijfmts.20220803.12
Page(s)	53-63
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

Semi-Ventilated Enclosure, Linear Heat Source, Thermal Fields, Differential Static Pressure

References

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[2]	Koueni Toko C. A. (2019) Etude des champs dynamique et thermique dans une enceinte semi-ventilée en convection naturelle, Rapport annuel de thèse-CORIA.
[3]	Kouéni-Toko C. A., Tcheukam-Toko D., Kuitche A., Patte-Rouland B., Paranthoën P. (2020) Numerical modeling of the temperature fields in a semi-confined enclosure heated by a linear heat source, International Journal of Thermofluids, 100017 https://doi.org/10.1016/j.ijft.2020.100017
[4]	Fitzgerald S. D. and Woods A. W. (2010) Transient natural ventilation of a space with localized heating, Building and Environment, 45 2778-2789.
[5]	Jeremy C. P. and Andrew W. W. (2004), On ventilation of a heated room through a single doorway, Building and Environment, 39 241-253.
[6]	Paranthoёn P. and Gonzalez M. (2010), Mixed convection in a ventilated enclosure, International Journal of Heat and Fluid Flow, 31 172-178.
[7]	Linden P. F., Lane-Serff G. F., Smeed D. A. (1990) Emptying filling boxes: the fluid mechanics of natural ventilation, Journal of Fluid Mechanics, 212, 309–335.
[8]	Kaye N. B. and Hunt G. R. (2004) Time-dependent flows in an emptying filling box, Journal of Fluid Mechanics, 520, 135-156.
[9]	Gladstone C. and Woods A. W. (2001) On buoyancy-driven natural ventilation of a room with a heated floor, Journal of Fluid Mechanics, 441, 293-314.
[10]	Kaye N. B., Hunt G. R. (2007) Overturning in a filling box, Journal of Fluid Mechanics, 576, 297-323.
[11]	Jilani G., Jayaraj S., Khadar K. (2002) Numerical analysis of free convective flows in partially open enclosure, Heat and Mass Transfer, 38, 261-270.
[12]	Yu E., Yoshi Y. (1997) A numerical study of three-dimensional laminar natural convection in a vented enclosure, International Journal of Heat and Fluid Flow, 18, 6, 800-812.
[13]	Fitzgerald S. D., Woods A. W. (2004) Natural ventilation of a room with vents at multiple levels, Building and Environment, 39, 505-521.
[14]	Andersen K. T. (1995) Theoretical considerations on natural ventilation by thermal buoyancy, Proceedings ASHRAE, San Diégo USA.
[15]	Kouéni Toko Christian Anicet. Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings. International Journal of Fluid Mechanics & Thermal Sciences. Vol. 7, No. 4, 2021, pp. 53-67. doi: 10.11648/j.ijfmts.20210704.11.
[16]	Kouéni-Toko Christian Anicet, Patte-Rouland Béatrice, Paranthoën Pierre. Experimental Study of the Pressure Generated by a Linear Heat Source in a Semi–ventilated Enclosure. Engineering and Applied Sciences. Vol. 7, No. 1, 2022, pp. 8-15. doi: 10.11648/j.eas.20220701.12.
[17]	Leonard, B. P. (1979) A stable and accurate convective modeling procedure based on quadratic interpolation, Comput methods Appl. Mech. Eng., 19, 59-98.
[18]	Patankar S. V. (1980) Numerical heat transfert and fluid flow, Hemisphere Publishing Corporation.

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APA Style

Koueni-Toko Christian Anicet. (2022). Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source. International Journal of Fluid Mechanics & Thermal Sciences, 8(3), 53-63. https://doi.org/10.11648/j.ijfmts.20220803.12

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ACS Style

Koueni-Toko Christian Anicet. Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source. Int. J. Fluid Mech. Therm. Sci. 2022, 8(3), 53-63. doi: 10.11648/j.ijfmts.20220803.12

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AMA Style

Koueni-Toko Christian Anicet. Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source. Int J Fluid Mech Therm Sci. 2022;8(3):53-63. doi: 10.11648/j.ijfmts.20220803.12

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@article{10.11648/j.ijfmts.20220803.12,
  author = {Koueni-Toko Christian Anicet},
  title = {Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {8},
  number = {3},
  pages = {53-63},
  doi = {10.11648/j.ijfmts.20220803.12},
  url = {https://doi.org/10.11648/j.ijfmts.20220803.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20220803.12},
  abstract = {The objective of this work is to numerically study the temperature fields and to model the differential static pressure in a semi-ventilated enclosure heated by a linear heat source. The semi-ventilated enclosure has a height of 520 mm, a width of 210 mm and a length of 210 mm and has two openings located in the ceiling of the enclosure on the two side walls located at positions x + = - 0.5 and 0.5. The openings have a height of 34 mm and a length of 210 mm. The linear heat source has a diameter of 20 mm and a length of 200 mm and is placed in the position x + = 0 and 2 mm from the floor. Numerical calculations of thermal fields and differential static pressure were performed using the DNS method. The simulation technique is based on the finite volume method. The study was carried out in steady state. The discretization of the equations was carried out based on the QUICK scheme. This discretization gives a system of algebraic equations whose solution makes it possible to determine the fields of temperature and differential static pressure. The SIMPLE algorithm was used for pressure correction on a non-uniform mesh. The “Weighted Body Strength” scheme for pressure resolution. The results obtained show that the thermal plume slopes towards the right wall of the enclosure, reaches the ceiling where it is destroyed by shearing. Hot gases exit the enclosure at the top of the openings and cool air enters the enclosure from the bottom. The values of the differential static pressure at the openings are positive at the top where the hot gases exit and negative at the bottom where the fresh air enters the enclosure. Cool air descends to the bottom of the enclosure near the side walls and mixes with the warm air in the enclosure. The movements of air in the enclosure are governed by the thermal plume. The comparison of the differential static pressure obtained by numerical calculations with those of the experiments agrees.},
 year = {2022}
}

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TY  - JOUR
T1  - Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source
AU  - Koueni-Toko Christian Anicet
Y1  - 2022/08/10
PY  - 2022
N1  - https://doi.org/10.11648/j.ijfmts.20220803.12
DO  - 10.11648/j.ijfmts.20220803.12
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 53
EP  - 63
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20220803.12
AB  - The objective of this work is to numerically study the temperature fields and to model the differential static pressure in a semi-ventilated enclosure heated by a linear heat source. The semi-ventilated enclosure has a height of 520 mm, a width of 210 mm and a length of 210 mm and has two openings located in the ceiling of the enclosure on the two side walls located at positions x + = - 0.5 and 0.5. The openings have a height of 34 mm and a length of 210 mm. The linear heat source has a diameter of 20 mm and a length of 200 mm and is placed in the position x + = 0 and 2 mm from the floor. Numerical calculations of thermal fields and differential static pressure were performed using the DNS method. The simulation technique is based on the finite volume method. The study was carried out in steady state. The discretization of the equations was carried out based on the QUICK scheme. This discretization gives a system of algebraic equations whose solution makes it possible to determine the fields of temperature and differential static pressure. The SIMPLE algorithm was used for pressure correction on a non-uniform mesh. The “Weighted Body Strength” scheme for pressure resolution. The results obtained show that the thermal plume slopes towards the right wall of the enclosure, reaches the ceiling where it is destroyed by shearing. Hot gases exit the enclosure at the top of the openings and cool air enters the enclosure from the bottom. The values of the differential static pressure at the openings are positive at the top where the hot gases exit and negative at the bottom where the fresh air enters the enclosure. Cool air descends to the bottom of the enclosure near the side walls and mixes with the warm air in the enclosure. The movements of air in the enclosure are governed by the thermal plume. The comparison of the differential static pressure obtained by numerical calculations with those of the experiments agrees.
VL  - 8
IS  - 3
ER  -

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Author Information

Koueni-Toko Christian Anicet

Department of Renewable Energy, National Advanced School of Engineering of Maroua, University of Maroua, Maroua, Cameroon

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APA Style

Koueni-Toko Christian Anicet. (2022). Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source. International Journal of Fluid Mechanics & Thermal Sciences, 8(3), 53-63. https://doi.org/10.11648/j.ijfmts.20220803.12

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ACS Style

Koueni-Toko Christian Anicet. Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source. Int. J. Fluid Mech. Therm. Sci. 2022, 8(3), 53-63. doi: 10.11648/j.ijfmts.20220803.12

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AMA Style

Koueni-Toko Christian Anicet. Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source. Int J Fluid Mech Therm Sci. 2022;8(3):53-63. doi: 10.11648/j.ijfmts.20220803.12

Copy | Download

@article{10.11648/j.ijfmts.20220803.12,
  author = {Koueni-Toko Christian Anicet},
  title = {Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {8},
  number = {3},
  pages = {53-63},
  doi = {10.11648/j.ijfmts.20220803.12},
  url = {https://doi.org/10.11648/j.ijfmts.20220803.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20220803.12},
  abstract = {The objective of this work is to numerically study the temperature fields and to model the differential static pressure in a semi-ventilated enclosure heated by a linear heat source. The semi-ventilated enclosure has a height of 520 mm, a width of 210 mm and a length of 210 mm and has two openings located in the ceiling of the enclosure on the two side walls located at positions x + = - 0.5 and 0.5. The openings have a height of 34 mm and a length of 210 mm. The linear heat source has a diameter of 20 mm and a length of 200 mm and is placed in the position x + = 0 and 2 mm from the floor. Numerical calculations of thermal fields and differential static pressure were performed using the DNS method. The simulation technique is based on the finite volume method. The study was carried out in steady state. The discretization of the equations was carried out based on the QUICK scheme. This discretization gives a system of algebraic equations whose solution makes it possible to determine the fields of temperature and differential static pressure. The SIMPLE algorithm was used for pressure correction on a non-uniform mesh. The “Weighted Body Strength” scheme for pressure resolution. The results obtained show that the thermal plume slopes towards the right wall of the enclosure, reaches the ceiling where it is destroyed by shearing. Hot gases exit the enclosure at the top of the openings and cool air enters the enclosure from the bottom. The values of the differential static pressure at the openings are positive at the top where the hot gases exit and negative at the bottom where the fresh air enters the enclosure. Cool air descends to the bottom of the enclosure near the side walls and mixes with the warm air in the enclosure. The movements of air in the enclosure are governed by the thermal plume. The comparison of the differential static pressure obtained by numerical calculations with those of the experiments agrees.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source
AU  - Koueni-Toko Christian Anicet
Y1  - 2022/08/10
PY  - 2022
N1  - https://doi.org/10.11648/j.ijfmts.20220803.12
DO  - 10.11648/j.ijfmts.20220803.12
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 53
EP  - 63
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20220803.12
AB  - The objective of this work is to numerically study the temperature fields and to model the differential static pressure in a semi-ventilated enclosure heated by a linear heat source. The semi-ventilated enclosure has a height of 520 mm, a width of 210 mm and a length of 210 mm and has two openings located in the ceiling of the enclosure on the two side walls located at positions x + = - 0.5 and 0.5. The openings have a height of 34 mm and a length of 210 mm. The linear heat source has a diameter of 20 mm and a length of 200 mm and is placed in the position x + = 0 and 2 mm from the floor. Numerical calculations of thermal fields and differential static pressure were performed using the DNS method. The simulation technique is based on the finite volume method. The study was carried out in steady state. The discretization of the equations was carried out based on the QUICK scheme. This discretization gives a system of algebraic equations whose solution makes it possible to determine the fields of temperature and differential static pressure. The SIMPLE algorithm was used for pressure correction on a non-uniform mesh. The “Weighted Body Strength” scheme for pressure resolution. The results obtained show that the thermal plume slopes towards the right wall of the enclosure, reaches the ceiling where it is destroyed by shearing. Hot gases exit the enclosure at the top of the openings and cool air enters the enclosure from the bottom. The values of the differential static pressure at the openings are positive at the top where the hot gases exit and negative at the bottom where the fresh air enters the enclosure. Cool air descends to the bottom of the enclosure near the side walls and mixes with the warm air in the enclosure. The movements of air in the enclosure are governed by the thermal plume. The comparison of the differential static pressure obtained by numerical calculations with those of the experiments agrees.
VL  - 8
IS  - 3
ER  -

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