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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Main Authors: Cristian Yoel Quintero-Castañeda, María Margarita Sierra-Carrillo, Arturo I. Villegas-Andrade, Javier Burgos-Vergara
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Fluids
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Online Access:https://www.mdpi.com/2311-5521/10/1/7
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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
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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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AT mariamargaritasierracarrillo numericalsimulationoffirstordersurfacereactioninopencavityusinglatticeboltzmannmethod
AT arturoivillegasandrade numericalsimulationoffirstordersurfacereactioninopencavityusinglatticeboltzmannmethod
AT javierburgosvergara numericalsimulationoffirstordersurfacereactioninopencavityusinglatticeboltzmannmethod