We model the influence of Raleigh numbers in a trapezoidal cavity. One wall among the sloping walls is exposed to a heat flux density Q=100 W/ m2 and the other inclined wall is kept adiabatic. The temperature of the two horizontal walls is assumed to be constant such that Tsup=305K is greater than Tinf=300K. The equations of heat and mass transfer which direct our template are described by the Navier-Stockes equation. These equations are discretized using the finite difference method and solved by the Thomas and Gauss-Seidel algorithms. Thus, we analyze the effects of the Raleigh numbers (Ra) on temperature profiles T = 303.15 K and speeds v = 0 m/s. For a variation of Ra=103-105, we note that the convective exchanges of the confined air and the different walls become preponderant with the increase in the Rayleigh number. Also, we contact that the speed of the confined air remains high along the horizontal walls for a Ra high number, but low near the inclined walls. These results show the effects of natural convection in this trapezoidal cavity.
| Published in | American Journal of Modern Physics (Volume 13, Issue 5) |
| DOI | 10.11648/j.ajmp.20241305.11 |
| Page(s) | 64-72 |
| 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 |
Raleigh Number, Trapezoidal Cavity, Thermal, Fluidics
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APA Style
Koumbem, W. N. D., Bignan-Kagomna, B., Bagaya, N., Ilboudo, W. D. A., Daouda, P., et al. (2024). Modeling the Influence of Raleigh Numbers on Thermal and Fluidic Behaviors in a Trapezoid-shaped Cell. American Journal of Modern Physics, 13(5), 64-72. https://doi.org/10.11648/j.ajmp.20241305.11
ACS Style
Koumbem, W. N. D.; Bignan-Kagomna, B.; Bagaya, N.; Ilboudo, W. D. A.; Daouda, P., et al. Modeling the Influence of Raleigh Numbers on Thermal and Fluidic Behaviors in a Trapezoid-shaped Cell. Am. J. Mod. Phys. 2024, 13(5), 64-72. doi: 10.11648/j.ajmp.20241305.11
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Download@article{10.11648/j.ajmp.20241305.11,
author = {Windé Nongué Daniel Koumbem and Bouwèreou Bignan-Kagomna and Noufou Bagaya and Wend Dolean Arsène Ilboudo and Pare Daouda and Issaka Ouédraogo and Sié Kam},
title = {Modeling the Influence of Raleigh Numbers on Thermal and Fluidic Behaviors in a Trapezoid-shaped Cell
},
journal = {American Journal of Modern Physics},
volume = {13},
number = {5},
pages = {64-72},
doi = {10.11648/j.ajmp.20241305.11},
url = {https://doi.org/10.11648/j.ajmp.20241305.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20241305.11},
abstract = {We model the influence of Raleigh numbers in a trapezoidal cavity. One wall among the sloping walls is exposed to a heat flux density Q=100 W/ m2 and the other inclined wall is kept adiabatic. The temperature of the two horizontal walls is assumed to be constant such that Tsup=305K is greater than Tinf=300K. The equations of heat and mass transfer which direct our template are described by the Navier-Stockes equation. These equations are discretized using the finite difference method and solved by the Thomas and Gauss-Seidel algorithms. Thus, we analyze the effects of the Raleigh numbers (Ra) on temperature profiles T = 303.15 K and speeds v = 0 m/s. For a variation of Ra=103-105, we note that the convective exchanges of the confined air and the different walls become preponderant with the increase in the Rayleigh number. Also, we contact that the speed of the confined air remains high along the horizontal walls for a Ra high number, but low near the inclined walls. These results show the effects of natural convection in this trapezoidal cavity.
},
year = {2024}
}
TY - JOUR T1 - Modeling the Influence of Raleigh Numbers on Thermal and Fluidic Behaviors in a Trapezoid-shaped Cell AU - Windé Nongué Daniel Koumbem AU - Bouwèreou Bignan-Kagomna AU - Noufou Bagaya AU - Wend Dolean Arsène Ilboudo AU - Pare Daouda AU - Issaka Ouédraogo AU - Sié Kam Y1 - 2024/11/28 PY - 2024 N1 - https://doi.org/10.11648/j.ajmp.20241305.11 DO - 10.11648/j.ajmp.20241305.11 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 64 EP - 72 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.20241305.11 AB - We model the influence of Raleigh numbers in a trapezoidal cavity. One wall among the sloping walls is exposed to a heat flux density Q=100 W/ m2 and the other inclined wall is kept adiabatic. The temperature of the two horizontal walls is assumed to be constant such that Tsup=305K is greater than Tinf=300K. The equations of heat and mass transfer which direct our template are described by the Navier-Stockes equation. These equations are discretized using the finite difference method and solved by the Thomas and Gauss-Seidel algorithms. Thus, we analyze the effects of the Raleigh numbers (Ra) on temperature profiles T = 303.15 K and speeds v = 0 m/s. For a variation of Ra=103-105, we note that the convective exchanges of the confined air and the different walls become preponderant with the increase in the Rayleigh number. Also, we contact that the speed of the confined air remains high along the horizontal walls for a Ra high number, but low near the inclined walls. These results show the effects of natural convection in this trapezoidal cavity. VL - 13 IS - 5 ER -
Renewable Thermal Energy Laboratory, Formation and Research Unit, Applied Exact Sciences, Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso;Formation and Research Unit in Sciences and Technologies, Kaya University center, Kaya, Burkina Faso
Renewable Thermal Energy Laboratory, Formation and Research Unit, Applied Exact Sciences, Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso
Renewable Thermal Energy Laboratory, Formation and Research Unit, Applied Exact Sciences, Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso
Energy Department, Research Institute of Applied Sciences and Technologies, Ouagadougou, Burkina Faso
Renewable Thermal Energy Laboratory, Formation and Research Unit, Applied Exact Sciences, Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso;Physics department, formation and Research unit, Applied Exact Sciences, Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso
