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Entropy 2015, 17(10), 6698-6711; doi:10.3390/e17106698

Two-Dimensional Lattice Boltzmann for Reactive Rayleigh–Bénard and Bénard–Poiseuille Regimes

Facultad de Estudios Superiores Cuautitlán, Universidad Nacional Autónoma de México, Av. 1 de mayo s/n, 54750 Cuautitlán Izcalli, Edo de México, Mexico
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Academic Editors: Ignazio Licata and Sauro Succi
Received: 11 July 2015 / Revised: 9 September 2015 / Accepted: 11 September 2015 / Published: 29 September 2015
(This article belongs to the Special Issue Non-Linear Lattice)
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Abstract

We perform a computer simulation of the reaction-diffusion and convection that takes place in Rayleigh–Bénard and Bénard–Poiseuille regimes. The lattice Boltzmann equation (LBE) is used along with the Boussinesq approximation to solve the non-linear coupled differential equations that govern the systems’ thermo-hydrodynamics. Another LBE, is introduced to calculate the evolution concentration of the chemical species involved in the chemical reactions. The simulations are conducted at low Reynolds numbers and in terms of steady state between the first and second thermo-hydrodynamics instability. The results presented here (with no chemical reactions) are in good agreement with those reported in the scientific literature which gives us high expectations about the reliability of the chemical kinetics simulation. Some examples are provided. View Full-Text
Keywords: lattice Boltzmann; fluid instabilities; chemical reactions lattice Boltzmann; fluid instabilities; chemical reactions
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Rodríguez-Romo, S.; Ibañez-Orozco, O. Two-Dimensional Lattice Boltzmann for Reactive Rayleigh–Bénard and Bénard–Poiseuille Regimes. Entropy 2015, 17, 6698-6711.

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