Numerical Simulation of First-Order Surface Reaction in Open Cavity Using Lattice Boltzmann Method
The lattice Boltzmann method (LBM) is a finite element and finite volume method for studying the reaction rate, mass diffusion and concentration of species. We are used the LBM to investigate the effect of the Damköhler number (Da) and Reynolds number (Re) on the laminar flow in a channel with an op...
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2024-12-01
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author | Cristian Yoel Quintero-Castañeda María Margarita Sierra-Carrillo Arturo I. Villegas-Andrade Javier Burgos-Vergara |
author_facet | Cristian Yoel Quintero-Castañeda María Margarita Sierra-Carrillo Arturo I. Villegas-Andrade Javier Burgos-Vergara |
author_sort | Cristian Yoel Quintero-Castañeda |
collection | DOAJ |
description | The lattice Boltzmann method (LBM) is a finite element and finite volume method for studying the reaction rate, mass diffusion and concentration of species. We are used the LBM to investigate the effect of the Damköhler number (Da) and Reynolds number (Re) on the laminar flow in a channel with an open square cavity and a reactive bottom wall in two dimensions in a first-order chemical reaction. The reactant A is transported through the cavity, where it undergoes a reaction on the reactive surface, resulting in the synthesis of product B. The effect of Da < 1 on the reaction rate is negligible for all investigated Re values; the generation of product B is slower because of the effect of the momentum diffusivity on the velocity inside the cavity. For Re = 5 and 1 < Da ≤ 100, the concentration of B inside the cavity reaches the maximum for Da = 100, and A is absorbed almost entirely on the bottom of the cavity. In our simulations, we observed that for all values of Re and Da > 100, the effect of the momentum diffusivity is negligible in the cavity, and the reaction on the surface is almost instantaneous. |
format | Article |
id | doaj-art-750870dc7c2045a5aebfd544a78ae251 |
institution | Kabale University |
issn | 2311-5521 |
language | English |
publishDate | 2024-12-01 |
publisher | MDPI AG |
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series | Fluids |
spelling | doaj-art-750870dc7c2045a5aebfd544a78ae2512025-01-24T13:32:34ZengMDPI AGFluids2311-55212024-12-01101710.3390/fluids10010007Numerical Simulation of First-Order Surface Reaction in Open Cavity Using Lattice Boltzmann MethodCristian Yoel Quintero-Castañeda0María Margarita Sierra-Carrillo1Arturo I. Villegas-Andrade2Javier Burgos-Vergara3Faculty of Engineering, Universidad Cooperativa de Colombia, Santa Marta 470003, ColombiaFaculty of Engineering, Universidad Cooperativa de Colombia, Santa Marta 470003, ColombiaFaculty of Engineering, Universidad Cooperativa de Colombia, Santa Marta 470003, ColombiaFaculty of Engineering, Coorporación Universitaria Reformada, Barranquilla 080016, ColombiaThe lattice Boltzmann method (LBM) is a finite element and finite volume method for studying the reaction rate, mass diffusion and concentration of species. We are used the LBM to investigate the effect of the Damköhler number (Da) and Reynolds number (Re) on the laminar flow in a channel with an open square cavity and a reactive bottom wall in two dimensions in a first-order chemical reaction. The reactant A is transported through the cavity, where it undergoes a reaction on the reactive surface, resulting in the synthesis of product B. The effect of Da < 1 on the reaction rate is negligible for all investigated Re values; the generation of product B is slower because of the effect of the momentum diffusivity on the velocity inside the cavity. For Re = 5 and 1 < Da ≤ 100, the concentration of B inside the cavity reaches the maximum for Da = 100, and A is absorbed almost entirely on the bottom of the cavity. In our simulations, we observed that for all values of Re and Da > 100, the effect of the momentum diffusivity is negligible in the cavity, and the reaction on the surface is almost instantaneous.https://www.mdpi.com/2311-5521/10/1/7lattice Boltzmannnumerical simulationsurface reactionDamköhler numberReynolds numbercomputational fluid dynamics |
spellingShingle | Cristian Yoel Quintero-Castañeda María Margarita Sierra-Carrillo Arturo I. Villegas-Andrade Javier Burgos-Vergara Numerical Simulation of First-Order Surface Reaction in Open Cavity Using Lattice Boltzmann Method Fluids lattice Boltzmann numerical simulation surface reaction Damköhler number Reynolds number computational fluid dynamics |
title | Numerical Simulation of First-Order Surface Reaction in Open Cavity Using Lattice Boltzmann Method |
title_full | Numerical Simulation of First-Order Surface Reaction in Open Cavity Using Lattice Boltzmann Method |
title_fullStr | Numerical Simulation of First-Order Surface Reaction in Open Cavity Using Lattice Boltzmann Method |
title_full_unstemmed | Numerical Simulation of First-Order Surface Reaction in Open Cavity Using Lattice Boltzmann Method |
title_short | Numerical Simulation of First-Order Surface Reaction in Open Cavity Using Lattice Boltzmann Method |
title_sort | numerical simulation of first order surface reaction in open cavity using lattice boltzmann method |
topic | lattice Boltzmann numerical simulation surface reaction Damköhler number Reynolds number computational fluid dynamics |
url | https://www.mdpi.com/2311-5521/10/1/7 |
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