Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings

Kouéni Toko Christian Anicet

doi:doi:10.11648/j.ijfmts.20210704.11

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Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings

Kouéni Toko Christian Anicet

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 7, Issue 4)

Received: 12 February 2022 Accepted: 28 February 2022 Published: 3 March 2022

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Abstract

The objective of this study is to understand and control the phenomena generated by a plume in a semi-ventilated enclosure using velocity fields. The enclosure has a rectangular cross-section and twenty openings located near the floor on two side walls. Each side wall has ten openings distributed over two horizontal rows on the axis (0y) in equal number. The plume is created by a linear source. The study is carried out in a steady state. To solve the mass and momentum conservation equations, the Direct Numerical Simulation (DNS) method and the finite volume method were used to discretize the differential equations. The fine non-uniform regular mesh was chosen to reduce calculation errors, to have a rapid convergence of the conservations equations and a stable result which approaches reality. As discretization scheme, we used the QUICK scheme and schema "Body Strength weighted for the resolution of the pressure. We have shown the influence of the reduced Grashof number on the fields of mean velocity, velocity along the (0z) w axis, velocity along the (0x) u axis and on the differential static pressure profiles. We compared the dimensionless differential static pressure results against the relevant experimental and the numerical calculations results. The results obtained showed that the velocity plume w can take the positions centered, tilted to the left and tilted to the right in the enclosure according to the increase in the number of reduced Grashof The velocity plume w reaches the ceiling where it is destroyed and go back down to the bottom of the enclosure. The maximum absolute values of the velocity w in the plume and u at the openings increase with the increase in the reduced Grashof number. The neutral height has for value z+=0.05. At the openings, cool air enters the enclosure through openings near the floor and below neutral height, and hot air exits through openings above neutral height. The comparison of the dimensionless differential static pressure results with against the relevant experimental and numerical calculations results is concordant.

Published in	International Journal of Fluid Mechanics & Thermal Sciences (Volume 7, Issue 4)
DOI	10.11648/j.ijfmts.20210704.11
Page(s)	53-67
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), 2022. Published by Science Publishing Group

Keywords

Enclosure, Openings, Plume, Velocity Fields, Numerical Computation

References

[1]	Morton B. R., Geoffrey Taylor, Turner J. S. (1956) Turbulent Gravitational Convection from Maintained and Instantaneous Sources, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 234 N° 1196, 1-23.
[2]	Auban O., Lemoine F., Valette P., Fontaine J. R. (2001) Simulation by solutal convection of a thermal plume in a confined stratified environment: application to displacement ventilation, International Journal of Heat and Mass Transfer, 44, 4679-4691.
[3]	Baines W. D., Turner J. S. (1969) Turbulent buoyant convection from a source in a confined region, Journal of Fluid Mechanics, 37, 51-80.
[4]	Grae Worster M., Leitch Alison M. (1985) Laminar free convection in confined regions, Journal of Fluid Mechanics, 156, 301-319.
[5]	Chow W. K., Cui E., Li Y. Z., Huo R., Zhou J. J. (2000) Experimental Studies on Natural Smoke Filling in Atria, Journal of Fire Sciences, vol. 18, 84-103.
[6]	Koueni Toko C. A. (2019) Etude des champs dynamique et thermique dans une enceinte semi-ventilée en convection naturelle, Rapportannuel dethèse-CORIA.
[7]	Kouéni–Toko C. A., Tcheukam–Toko D., Kuitche A., Patte-Rouland B., Paranthoën P. (2021) Numerical modeling of the temperature fields in a semi-confined enclosure heated by a linear heat source, International Journal of Thermo fluids, Vol. 7-8, 100017.
[8]	Fitzgerald S. D. and Woods A. W. (2010) Transient natural ventilation of a space with localized heating, Building and Environment, 45 2778-2789.
[9]	Jeremy C. P. and Andrew W. W. (2004), On ventilation of a heated room through a single doorway, Building and Environment, 39 241-253.
[10]	Paranthoёn P. and Gonzalez M. (2010), Mixed convection in a ventilated enclosure, International Journal of Heat and Fluid Flow, 31 172-178.
[11]	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.
[12]	Kaye N. B. and Hunt G. R. (2004) Time-dependent flows in an emptying filling box, Journal of Fluid Mechanics, 520, 135-156.
[13]	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.
[14]	Kaye N. B., Hunt G. R. (2007) Overturning in a filling box, Journal of Fluid Mechanics, 576, 297-323.
[15]	Karl Terpager Andersen (2003) Theory for natural ventilation by thermal buoyancy in one zone with uniform temperature, Building and Environment, 38, 1281-1289.
[16]	Patankar S. V. (1980) Numerical heat transfert and fluid flow, Hemisphere Publishing Corporation.
[17]	Leonard, B. P. (1979) A stable and accurate convective modeling procedure based on quadratic interpolation, Comput methods Appl. Mech. Eng., 19, 59-98.

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APA Style

Kouéni Toko Christian Anicet. (2022). Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings. International Journal of Fluid Mechanics & Thermal Sciences, 7(4), 53-67. https://doi.org/10.11648/j.ijfmts.20210704.11

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ACS Style

Kouéni Toko Christian Anicet. Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings. Int. J. Fluid Mech. Therm. Sci. 2022, 7(4), 53-67. doi: 10.11648/j.ijfmts.20210704.11

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AMA Style

Kouéni Toko Christian Anicet. Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings. Int J Fluid Mech Therm Sci. 2022;7(4):53-67. doi: 10.11648/j.ijfmts.20210704.11

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@article{10.11648/j.ijfmts.20210704.11,
  author = {Kouéni Toko Christian Anicet},
  title = {Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {7},
  number = {4},
  pages = {53-67},
  doi = {10.11648/j.ijfmts.20210704.11},
  url = {https://doi.org/10.11648/j.ijfmts.20210704.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20210704.11},
  abstract = {The objective of this study is to understand and control the phenomena generated by a plume in a semi-ventilated enclosure using velocity fields. The enclosure has a rectangular cross-section and twenty openings located near the floor on two side walls. Each side wall has ten openings distributed over two horizontal rows on the axis (0y) in equal number. The plume is created by a linear source. The study is carried out in a steady state. To solve the mass and momentum conservation equations, the Direct Numerical Simulation (DNS) method and the finite volume method were used to discretize the differential equations. The fine non-uniform regular mesh was chosen to reduce calculation errors, to have a rapid convergence of the conservations equations and a stable result which approaches reality. As discretization scheme, we used the QUICK scheme and schema "Body Strength weighted for the resolution of the pressure. We have shown the influence of the reduced Grashof number on the fields of mean velocity, velocity along the (0z) w axis, velocity along the (0x) u axis and on the differential static pressure profiles. We compared the dimensionless differential static pressure results against the relevant experimental and the numerical calculations results. The results obtained showed that the velocity plume w can take the positions centered, tilted to the left and tilted to the right in the enclosure according to the increase in the number of reduced Grashof The velocity plume w reaches the ceiling where it is destroyed and go back down to the bottom of the enclosure. The maximum absolute values of the velocity w in the plume and u at the openings increase with the increase in the reduced Grashof number. The neutral height has for value z+=0.05. At the openings, cool air enters the enclosure through openings near the floor and below neutral height, and hot air exits through openings above neutral height. The comparison of the dimensionless differential static pressure results with against the relevant experimental and numerical calculations results is concordant.},
 year = {2022}
}

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TY  - JOUR
T1  - Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings
AU  - Kouéni Toko Christian Anicet
Y1  - 2022/03/03
PY  - 2022
N1  - https://doi.org/10.11648/j.ijfmts.20210704.11
DO  - 10.11648/j.ijfmts.20210704.11
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  - 67
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20210704.11
AB  - The objective of this study is to understand and control the phenomena generated by a plume in a semi-ventilated enclosure using velocity fields. The enclosure has a rectangular cross-section and twenty openings located near the floor on two side walls. Each side wall has ten openings distributed over two horizontal rows on the axis (0y) in equal number. The plume is created by a linear source. The study is carried out in a steady state. To solve the mass and momentum conservation equations, the Direct Numerical Simulation (DNS) method and the finite volume method were used to discretize the differential equations. The fine non-uniform regular mesh was chosen to reduce calculation errors, to have a rapid convergence of the conservations equations and a stable result which approaches reality. As discretization scheme, we used the QUICK scheme and schema "Body Strength weighted for the resolution of the pressure. We have shown the influence of the reduced Grashof number on the fields of mean velocity, velocity along the (0z) w axis, velocity along the (0x) u axis and on the differential static pressure profiles. We compared the dimensionless differential static pressure results against the relevant experimental and the numerical calculations results. The results obtained showed that the velocity plume w can take the positions centered, tilted to the left and tilted to the right in the enclosure according to the increase in the number of reduced Grashof The velocity plume w reaches the ceiling where it is destroyed and go back down to the bottom of the enclosure. The maximum absolute values of the velocity w in the plume and u at the openings increase with the increase in the reduced Grashof number. The neutral height has for value z+=0.05. At the openings, cool air enters the enclosure through openings near the floor and below neutral height, and hot air exits through openings above neutral height. The comparison of the dimensionless differential static pressure results with against the relevant experimental and numerical calculations results is concordant.
VL  - 7
IS  - 4
ER  -

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Author Information

Kouéni Toko Christian Anicet

Department of Renewable Energy, Ecole Nationale Superieure Polytechnique de Maroua, University of Maroua, Maroua, Cameroon

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APA Style

Kouéni Toko Christian Anicet. (2022). Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings. International Journal of Fluid Mechanics & Thermal Sciences, 7(4), 53-67. https://doi.org/10.11648/j.ijfmts.20210704.11

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ACS Style

Kouéni Toko Christian Anicet. Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings. Int. J. Fluid Mech. Therm. Sci. 2022, 7(4), 53-67. doi: 10.11648/j.ijfmts.20210704.11

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AMA Style

Kouéni Toko Christian Anicet. Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings. Int J Fluid Mech Therm Sci. 2022;7(4):53-67. doi: 10.11648/j.ijfmts.20210704.11

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@article{10.11648/j.ijfmts.20210704.11,
  author = {Kouéni Toko Christian Anicet},
  title = {Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {7},
  number = {4},
  pages = {53-67},
  doi = {10.11648/j.ijfmts.20210704.11},
  url = {https://doi.org/10.11648/j.ijfmts.20210704.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20210704.11},
  abstract = {The objective of this study is to understand and control the phenomena generated by a plume in a semi-ventilated enclosure using velocity fields. The enclosure has a rectangular cross-section and twenty openings located near the floor on two side walls. Each side wall has ten openings distributed over two horizontal rows on the axis (0y) in equal number. The plume is created by a linear source. The study is carried out in a steady state. To solve the mass and momentum conservation equations, the Direct Numerical Simulation (DNS) method and the finite volume method were used to discretize the differential equations. The fine non-uniform regular mesh was chosen to reduce calculation errors, to have a rapid convergence of the conservations equations and a stable result which approaches reality. As discretization scheme, we used the QUICK scheme and schema "Body Strength weighted for the resolution of the pressure. We have shown the influence of the reduced Grashof number on the fields of mean velocity, velocity along the (0z) w axis, velocity along the (0x) u axis and on the differential static pressure profiles. We compared the dimensionless differential static pressure results against the relevant experimental and the numerical calculations results. The results obtained showed that the velocity plume w can take the positions centered, tilted to the left and tilted to the right in the enclosure according to the increase in the number of reduced Grashof The velocity plume w reaches the ceiling where it is destroyed and go back down to the bottom of the enclosure. The maximum absolute values of the velocity w in the plume and u at the openings increase with the increase in the reduced Grashof number. The neutral height has for value z+=0.05. At the openings, cool air enters the enclosure through openings near the floor and below neutral height, and hot air exits through openings above neutral height. The comparison of the dimensionless differential static pressure results with against the relevant experimental and numerical calculations results is concordant.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Numerical Simulation of the Velocity Fields Generated by a Plume in Enclosure with Several Openings
AU  - Kouéni Toko Christian Anicet
Y1  - 2022/03/03
PY  - 2022
N1  - https://doi.org/10.11648/j.ijfmts.20210704.11
DO  - 10.11648/j.ijfmts.20210704.11
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  - 67
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20210704.11
AB  - The objective of this study is to understand and control the phenomena generated by a plume in a semi-ventilated enclosure using velocity fields. The enclosure has a rectangular cross-section and twenty openings located near the floor on two side walls. Each side wall has ten openings distributed over two horizontal rows on the axis (0y) in equal number. The plume is created by a linear source. The study is carried out in a steady state. To solve the mass and momentum conservation equations, the Direct Numerical Simulation (DNS) method and the finite volume method were used to discretize the differential equations. The fine non-uniform regular mesh was chosen to reduce calculation errors, to have a rapid convergence of the conservations equations and a stable result which approaches reality. As discretization scheme, we used the QUICK scheme and schema "Body Strength weighted for the resolution of the pressure. We have shown the influence of the reduced Grashof number on the fields of mean velocity, velocity along the (0z) w axis, velocity along the (0x) u axis and on the differential static pressure profiles. We compared the dimensionless differential static pressure results against the relevant experimental and the numerical calculations results. The results obtained showed that the velocity plume w can take the positions centered, tilted to the left and tilted to the right in the enclosure according to the increase in the number of reduced Grashof The velocity plume w reaches the ceiling where it is destroyed and go back down to the bottom of the enclosure. The maximum absolute values of the velocity w in the plume and u at the openings increase with the increase in the reduced Grashof number. The neutral height has for value z+=0.05. At the openings, cool air enters the enclosure through openings near the floor and below neutral height, and hot air exits through openings above neutral height. The comparison of the dimensionless differential static pressure results with against the relevant experimental and numerical calculations results is concordant.
VL  - 7
IS  - 4
ER  -

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