Buoyancy-driven flow for surface reaction on vertical walls in multilayered open cavities

This study analyzes the influences of surface reactions on the natural convective flow, temperature, and oxygen concentration distributions in vertically placed multilayered cavities. A mathematical model for this problem is formulated with proper boundary conditions. At first, the governing equatio...

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Main Author: Nepal Chandra Roy
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Heliyon
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Online Access:http://www.sciencedirect.com/science/article/pii/S2405844024173239
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author Nepal Chandra Roy
author_facet Nepal Chandra Roy
author_sort Nepal Chandra Roy
collection DOAJ
description This study analyzes the influences of surface reactions on the natural convective flow, temperature, and oxygen concentration distributions in vertically placed multilayered cavities. A mathematical model for this problem is formulated with proper boundary conditions. At first, the governing equations are made dimensionless using the variable transformations. Then, those are solved utilizing the finite element method (FEM), and the stream function is calculated from the Poisson equation. Numerical results show that the maximum stream function is significantly increased while maximum temperature and remaining oxygen concentration are considerably decreased with higher Rayleigh number. On the contrary, the buoyancy force parameter and the Lewis number cause an increase in maximum values of stream function and temperature but a decrease in remaining concentration. For increasing Lewis number and reactant consumption parameter, the flow structure in cavities significantly changes. In addition, maximum values of stream function and temperature are significantly increased with the increase of the heat release parameter. When the opening heights are wider, maximum stream function and remaining concentration are higher, however maximum temperature first becomes lower and then becomes higher. For any value of the parameters, the maximum flow intensity occurs adjacent to the bottom opening of the top cavity of the multilayered open cavities. However, maximum temperature is seen at the top left corner of the top cavity of the system.
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spelling doaj-art-4a09a04cf90c4958a22eac0a3ecca96c2025-01-17T04:50:49ZengElsevierHeliyon2405-84402025-01-01111e41292Buoyancy-driven flow for surface reaction on vertical walls in multilayered open cavitiesNepal Chandra Roy0Department of Mathematics, University of Dhaka, Dhaka 1000, BangladeshThis study analyzes the influences of surface reactions on the natural convective flow, temperature, and oxygen concentration distributions in vertically placed multilayered cavities. A mathematical model for this problem is formulated with proper boundary conditions. At first, the governing equations are made dimensionless using the variable transformations. Then, those are solved utilizing the finite element method (FEM), and the stream function is calculated from the Poisson equation. Numerical results show that the maximum stream function is significantly increased while maximum temperature and remaining oxygen concentration are considerably decreased with higher Rayleigh number. On the contrary, the buoyancy force parameter and the Lewis number cause an increase in maximum values of stream function and temperature but a decrease in remaining concentration. For increasing Lewis number and reactant consumption parameter, the flow structure in cavities significantly changes. In addition, maximum values of stream function and temperature are significantly increased with the increase of the heat release parameter. When the opening heights are wider, maximum stream function and remaining concentration are higher, however maximum temperature first becomes lower and then becomes higher. For any value of the parameters, the maximum flow intensity occurs adjacent to the bottom opening of the top cavity of the multilayered open cavities. However, maximum temperature is seen at the top left corner of the top cavity of the system.http://www.sciencedirect.com/science/article/pii/S2405844024173239Natural convection flowMultilayered open cavitiesFire spreadHigh-rise buildings
spellingShingle Nepal Chandra Roy
Buoyancy-driven flow for surface reaction on vertical walls in multilayered open cavities
Heliyon
Natural convection flow
Multilayered open cavities
Fire spread
High-rise buildings
title Buoyancy-driven flow for surface reaction on vertical walls in multilayered open cavities
title_full Buoyancy-driven flow for surface reaction on vertical walls in multilayered open cavities
title_fullStr Buoyancy-driven flow for surface reaction on vertical walls in multilayered open cavities
title_full_unstemmed Buoyancy-driven flow for surface reaction on vertical walls in multilayered open cavities
title_short Buoyancy-driven flow for surface reaction on vertical walls in multilayered open cavities
title_sort buoyancy driven flow for surface reaction on vertical walls in multilayered open cavities
topic Natural convection flow
Multilayered open cavities
Fire spread
High-rise buildings
url http://www.sciencedirect.com/science/article/pii/S2405844024173239
work_keys_str_mv AT nepalchandraroy buoyancydrivenflowforsurfacereactiononverticalwallsinmultilayeredopencavities